Answers
The projectile will clear the castle walls, since it will travel a horizontal distance of approximately 80.25m.
How to explain the projectileFirst, we can split the initial velocity into its horizontal and vertical components. The horizontal component is given by:
Vx = V0 * cos(θ)
where V0 is the initial velocity and θ is the angle of launch.
Substituting the given values, we get:
Vx = 40 m/s * cos(50°) ≈ 25.76 m/s
The vertical component is given by:
Vy = V0 * sin(θ)
Substituting the given values, we get:
Vy = 40 m/s * sin(50°) ≈ 30.63 m/s
Next, we can use the vertical motion equations to find the time of flight and the maximum height reached by the projectile:
Vy = V0y + a*t
where a is the acceleration due to gravity (-9.8 m/s^2), and V0y is the initial vertical velocity. At the highest point of the projectile's trajectory, Vy will be zero.
Setting Vy to zero, we get:
0 = V0y + a*t
t = -V0y / a
Substituting the given values, we get:
t = -30.63 m/s / (-9.8 m/s^2) ≈ 3.12 s
To find the maximum height reached by the projectile, we can use the equation:
y = y0 + V0y*t + (1/2)at^2
where y0 is the initial height (zero in this case), and y is the maximum height.
Substituting the given values, we get:
y = 0 + 40 m/s * sin(50°) * 3.12 s + (1/2) * (-9.8 m/s^2) * (3.12 s)^2 ≈ 48.36 m
Now we can use the horizontal motion equations to find the horizontal distance traveled by the projectile:
x = x0 + Vx*t
where x0 is the initial horizontal distance (zero in this case), and x is the final horizontal distance.
Substituting the given values, we get:
x = 0 + 25.76 m/s * 3.12 s ≈ 80.25 m
Therefore, the projectile will clear the castle walls, since it will travel a horizontal distance of approximately 80.25 m, which is greater than the 150 m distance to the walls.
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Related Questions
A bolt of lightning discharges 9. 7 C in 8. 9 x 10^-5 s. What is the average current during the discharge?
Answers
When a bolt of lightning occurs, it results in a sudden discharge of electrical energy. In this case, the lightning bolt discharges 9.7 C of electrical charge in a very short period of time, 8.9 x 10^-5 s. To calculate the average current during the discharge, we can use the formula I = Q/t, where I is the current, Q is the charge, and t is the time.
Using the values given in the problem, we get I = 9.7 C / 8.9 x 10^-5 s, which simplifies to I = 1.09 x 10^5 A. This means that during the lightning bolt's discharge, the average current was 1.09 x 10^5 amperes.
It's important to note that lightning is a very powerful electrical discharge that can be extremely dangerous. Lightning is created when there is a buildup of electrical charges in the atmosphere, typically between the ground and the clouds. The discharge of electrical energy during a lightning bolt can heat the air around it to temperatures hotter than the surface of the sun, creating a shock wave that we hear as thunder.
In conclusion, the average current during the discharge of a lightning bolt can be calculated using the formula I = Q/t, where Q is the charge and t is the time. The result in this case was 1.09 x 10^5 A, which illustrates the immense power and danger of lightning discharges.
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what is the process that solar cells use to produce energy called?
Answers
Answer:
photovoltaic effect if producing electrical energy
The process that solar cells use to produce energy is called the photovoltaic effect.
Here's how it works:
1. Sunlight is made up of tiny particles of energy called photons. When these photons hit the surface of a solar cell, they can be absorbed by the material inside the cell.
2. The material inside the solar cell is usually made of silicon, which is a semiconductor. When photons are absorbed by the silicon atoms, they cause the electrons in the atoms to become excited and break free from their bonds.
3. The free electrons move through the silicon and are collected by a metal conductor on the surface of the cell. This flow of electrons creates an electrical current that can be used to power devices or stored in a battery.
4. The flow of electrons through the metal conductor is controlled by a circuit that regulates the voltage and current of the electrical output.
5. Solar cells are usually connected together to form solar panels, which can generate more electricity than a single cell.
The photovoltaic effect is the basis for how solar cells generate electricity from sunlight.
It is a renewable and clean source of energy that has the potential to reduce dependence on fossil fuels and mitigate the effects of climate change.
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Apply concepts why can light travel trough outer space but sound cannot?
Answers
Light travels in the form of electromagnetic waves, the reason why light can travel through outer space but sound cannot is due: to the differences in the way light and sound waves propagate, and the properties of the medium through which they travel.
Light travels in the form of electromagnetic waves, which consist of oscillating electric and magnetic fields. These waves can propagate through a vacuum, like outer space, because they do not require a medium for transmission. As a result, light from stars and other celestial bodies can reach us even though they are located in the vacuum of space.
On the other hand, sound waves are mechanical waves that require a medium, such as air, water, or solids, to transmit their energy. Sound waves move by causing vibrations in the particles of the medium, creating areas of compression and rarefaction. Outer space is largely devoid of particles, being a near-perfect vacuum, and thus there is no medium for sound waves to propagate through. Consequently, sound cannot travel through outer space, unlike light.
In summary, light can travel through outer space because it consists of electromagnetic waves that do not require a medium for propagation, while sound cannot travel in outer space because it consists of mechanical waves that require a medium for transmission.
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A force compresses a bone by 1.0 mm. A second bone has the same cross-sectional area but twice the length as the first. By how much would the same force compress this second bone? 0.50 mm 0 1.0 mm 2.0 mm 4.0 mm 8.0 mm
Answers
The compressibility of a bone is dependent on its material properties and geometry. If the first bone was compressed by 1.0 mm, the second bone will be compressed by 2.0 mm. Answer is 2.0 mm.
Since the second bone has the same cross-sectional area but twice the length as the first, it has twice the volume. Therefore, it would be expected to compress twice as much as the first bone, or 2.0 mm.
Hi! When considering the compression of a bone, we can use Hooke's Law, which states that the deformation (compression) is directly proportional to the applied force and inversely proportional to the material's stiffness.
For the second bone with twice the length, the same force will cause a greater deformation since the stiffness will be lower. Given that the cross-sectional area is the same, the second bone will be compressed by twice the amount of the first bone.
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Suppose, in a physics lab experiment, you try to move a box of 5 kg by tying a rope around it across a flat table and pulling the rope at an angle of 30 degree above the horizontal as shown in the figure;
i. If the box is moving at constant speed of 2m/s and the coefficient of friction is 0.40, What is the magnitude of F?
ii If the box is speeding up with constant acceleration of 0.5 m/s2 ,What will be the magnitude of F?
Answers
i. The magnitude of F, given that the box is moving at constant speed of 2 m/s is 24.5 N
ii. The magnitude of F, given that the box is moving at constant acceleration of 0.5 m/s² is 2.5 N
i. How do i determine the magnitude of F?We can obtain the magnitude of F when the box is moving at constant speed of 2 m/s can be obtain as follow:
Mass of box (m) = 5 KgAngle (θ) = 30 degreesAcceleration due to gravity (g) = 9.8 m/s² Magnitude of F =?F = mgSineθ
F = 5 × 9.8 × Sine 30
F = 5 × 9.8 × 0.5
Magnitude of F = 24.5 N
ii. How do i determine the magnitude of F?We can obtain the magnitude of F when the box is moving at constant acceleration of 0.5 m/s² can be obtain as follow:
Mass of box (m) = 5 KgAcceleration (a) = 0.5 m/s² Magnitude of F =?F = ma
F = 5 × 0.5
Magnitude of F = 2.5 N
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Help please!!
How many atoms of C would you have if there were 1.23 moles of C? Show your work for this.
Answers
The number of atoms of carbon (C) in 1.23 moles of carbon is 7.41 x 10²³ atoms.
What is the number of atoms?The number of atoms of carbon (C) in 1.23 moles of carbon is calculated by using Avogadro's number as shown below;
n_A = An
where;
n_A is the number of atomsA is Avogadro's numbern is the number of molesn_ A = A x n
n_ A = 1.23 moles x 6.022 x 10²³ atoms/mole
n_A = 7.41 x 10²³ atoms
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The pressure of water on ground is 50000pa and at first floor it is 20,000pa .find the height of the first floor??
Answers
The height of the first floor is 7.5 meters if the water pressure on the ground is 50000 pa and 20,000 pa at the first floor.
How is the height of the first floor determined?Using the hydrostatic pressure equation, we can get the reference level as the water pressure at the ground floor:
P = ρgh
P is equal to 50000 Pa on the ground floor and 20000 Pa on the first. Water's constant density allows us to write:
P1/P2 = h1/h2
where P1 and h1 represent the ground floor pressure and height and P2 and h2 represent the first floor pressure and height.
Inputting the values provided yields:
50000/20000 = h1/h2
As a result, the first level is 2.5 times as tall as the bottom floor. The height of the first floor would be as follows if we used a typical height of 3 meters per storey:
2.5 × 3 = 7.5 meters for h2.
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What is an infrared camera simple definition
IN OWN WORDS!!!!!!!!!!
explain like you would to a kid pls
Answers
Answer:
An infrared camera – also called IR camera, thermal means heat it can track your heat camera or thermal camera – is a measuring by instrument it means its a measuring tool
used for non-contact measurements of the surface temperature of objects.
Explanation:
kids are oof
Particles q1, q2, and q3 are in a straight line. Particles q1 = -5. 00 x 10^-6 C, q2 = +2. 50 x 10^-6 C
Answers
The net force acting on q₂ when Particle is positioned between q₁ and q₃ is 0.486N.
Inversely proportional to the square of the distance between charges and proportionate to the product of their magnitudes is the electrostatic force of attraction or repulsion.
Force on q₂ due to q₁
F₁₂ = kq₁q₂ / r₁₂²
Putting the values provided , may get
F₁₂ = 9 x 10⁹ x 5 x 10⁻⁶ x 2.5 x 10⁻⁶ / (0.5)²
F₁₂ = 0.414 N
Force on q₂ due to q₃ placed at distance 0.25m
F₂₃ =kq₂q₃ / r₂₃²
Substitute the values, can get
F₂₃ = 9 x 10⁹ x 2.5 x 10⁻⁶ x 2.5 x 10⁻⁶ / (0.25)²
F₂₃ = 0.9N
The net force can be calculated as
F =F₂₃ -F₁₂
F =0.9 - 0.414 = 0.486 N
Therefore, the net force of q₂ is 0.486 N.
The complete question is,
Particles q1, q2, and q3 are in a straight line. Particles q1 = -5.00 x 10^-6 C, q2 = +2.50 x 10^-6 C, and q3 = -2.50 x 10^-6 C. Particles q1 and q2 are separated by 0.500 m. Particles q2 and q3 are separated by 0.250 m. What is the net force on q2?
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Scenario: you are about to watch a movie you’ve been dying to see on hbo max. you pop some leftover spaghetti and water for some hot tea in the microwave. just as you pulled them out of the microwave and get ready to start the movie, you have the sudden urge to use the restroom. you give an eye roll and head to the restroom. predict which item (spaghetti or water) would be the coolest when you return. *you must use the cer format to answer question.
Answers
The item that would be cooler upon returning would be the spaghetti, as it has a higher heat capacity than water, meaning it requires more energy to raise its temperature.
Based on the scenario given, the spaghetti and water were heated in the microwave but left out for an unknown period of time.
As time passes, the temperature of the heated objects decreases due to conduction, convection, and radiation.
Therefore, the item that would be cooler upon returning would be the spaghetti, as it has a higher heat capacity than water, meaning it requires more energy to raise its temperature.
The water would lose heat more quickly due to its lower heat capacity and smaller mass, and therefore would reach a lower temperature faster than the spaghetti.
Additionally, if the spaghetti was covered, it would retain more of its heat and would be slightly warmer than uncovered spaghetti left out at room temperature.
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Jose conducted an experiment to measure the rate of minerals dissolving in water and changed the temperature of the water for each trial.
What is the independent variable in this experiment?
A: number of trials being tested
B: temperature of the water
C: type of minerals used for each trial
D: rate the minerals dissolved
Answers
The temperature of the water is the independent variable because it is being deliberately changed by the experimenter to see how it affects the rate of mineral dissolution. Option B.
What is an independent variable?The independent variable is the variable that the researcher intentionally changes or manipulates in an experiment in order to observe its effect on the dependent variable.
In this case, the independent variable is the temperature of the water because it is what Jose is changing in each trial to see how it affects the rate at which the minerals dissolve.
The dependent variable, on the other hand, is the rate at which the minerals dissolve, because it is what is being measured and expected to change based on the independent variable.
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Wave Ceneration
What kind of wave is being generated?
O electromagnetic wave
Olongitudinal
Otransverse
Osurface wave
Answers
Without additional context or information, it is impossible to determine the particular wave
What is a wave in physicsIn physics, a wave is a disturbance that travels through space and time, often transferring energy from one place to another. Waves can take many forms, including sound waves, light waves, water waves, and seismic waves. They are characterized by properties such as amplitude, frequency, wavelength, and speed.
Waves are an important concept in many areas of physics, including mechanics, electromagnetism, and quantum mechanics. They can be described mathematically using equations such as the wave equation and are fundamental to our understanding of the behavior of the physical world.
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State the law of equipartition of energy in no more than 4 sentences.
Answers
The law of equipartition of energy states that each degree of freedom of a molecule in a system at equilibrium will have an average energy of kT/2, where k is the Boltzmann constant and T is the temperature in Kelvin.
This means that in a system at thermal equilibrium, energy is distributed equally among all available modes of motion.
For example, in a gas, the three degrees of freedom associated with translational motion (movement in three dimensions) contribute kT/2 each to the total energy of the gas, while each degree of freedom associated with rotational motion contributes kT/2 as well.
This law is essential to understanding the behavior of thermodynamic systems, particularly in relation to temperature and heat. It explains why adding heat to a system will increase its temperature, and why the temperature of a system is related to the average kinetic energy of its particles.
In summary, the law of equipartition of energy states that each degree of freedom of a molecule in a system at equilibrium has an average energy of kT/2, where k is the Boltzmann constant and T is the temperature. It is crucial to understanding the behavior of thermodynamic systems and the relationship between temperature and energy distribution.
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4. The speed of a d. C. Motor increases with increasing current through the armature coil. Given fixed supply voltage, two ways of changing the current supplied to the motor are: (1) a variable resistor (potentiometer) or (2) pulse width modulation (PWM). Explain how each method works. Provide one advantage and one disadvantage of each method
Answers
Both variable resistors and PWM can be used to: control the speed of a DC motor, with the former offering simplicity and the latter providing higher efficiency.
The speed of a DC motor increases with increasing current through the armature coil. There are two ways to change the current supplied to the motor: (1) using a variable resistor (potentiometer) and (2) employing pulse width modulation (PWM).
1) Variable Resistor (Potentiometer): This method works by adjusting the resistance in the circuit, which controls the current flowing through the motor. By changing the resistance, you can change the current and hence, the motor speed. One advantage of this method is its simplicity and ease of use. A disadvantage, however, is that it can be inefficient, as some energy is lost as heat in the resistor.
2) Pulse Width Modulation (PWM): This method works by switching the supply voltage on and off at a specific frequency, thus creating pulses with varying widths. The average voltage applied to the motor is controlled by adjusting the pulse width, which in turn, controls the motor speed. One advantage of PWM is its efficiency, as there is minimal energy loss in the process. A disadvantage, though, is that it can generate electrical noise and requires more complex circuitry.
In summary, both variable resistors and PWM can be used to control the speed of a DC motor, with the former offering simplicity and the latter providing higher efficiency.
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The speed of a light ray (f=5.09*10^14Hz) in corn oil is
Answers
Answer:
b
Explanation:
The speed of the light ray in the corn oil is 2.04×10⁸ m/s
Speed of light
This is the speed at which light travels in space. It has a constant value of 3×10⁸ m/s
How to determine the speed of light in corn oil
Refraction index (n) = 1.47
Speed of light in space (c) = 3×10⁸ m/s
Speed of light in corn oil (v) =?
n = c / v
1.47 = 3×10⁸ / v
Cross multiply
1.47 × v = 3×10⁸
Divide both side by 1.47
v = 3×10⁸ / 1.47
v = 2.04×10⁸ m/s
Thus, the speed of light in corn oil is 2.04×10⁸ m/s
Horticulture 120 pts (HURRY)
Sensing systems incorporated into harvesting machines that register and record amounts of harvests associated with specific portions of a planted field are called
monitoring systems
Answers
Sensing systems incorporated into harvesting machines that register and record amounts of harvests associated with specific portions of a planted field are called monitoring systems.
Monitoring systems in harvesting machines use sensing technologies to collect data on the quantity and quality of crops being harvested. These systems typically consist of sensors that measure various physical parameters, such as weight, moisture content, and color, which are then processed and analyzed to provide information on crop yield and quality.
By using monitoring systems, farmers and agricultural managers can obtain real-time information on crop performance, identify areas of the field with higher or lower yields, and make more informed decisions regarding irrigation, fertilization, and other cultivation practices.
This data can also be used to optimize the use of resources, reduce waste, and increase profitability. Overall, monitoring systems play an important role in precision agriculture, which aims to improve the efficiency and sustainability of agricultural practices.
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In 1992, residents of Arkansas consumed, on average, 11. 4 L of gasoline per
vehicle per day. If this amount of gasoline burns completely in a pure combustion
reaction, it will release 4. 3 * 10% J of energy. Suppose this amount of energy is
transferred by heat from a quantity of gas confined in a very large cylinder. The
cylinder, however, is equipped with a piston, and shortly after the energy is
transferred by heat from the cylinder, work is done on the gas. The magnitude of
the energy transferred by work is equal to one-third the magnitude of the
energy transferred by heat. If the initial internal energy of the gas is 1. 00 x 10°J,
what is the final internal energy of the gas?
Answers
The final internal energy of the gas is 1.07 x [tex]10^{10[/tex] J.
What is Energy?
Energy is a fundamental physical quantity that refers to the ability of a system to do work or produce heat. It is a scalar quantity that has many different forms, including kinetic energy, potential energy, thermal energy, electromagnetic energy, and more.
The energy released by the combustion of 11.4 L of gasoline per vehicle per day is given as 4.3 x [tex]10^{7[/tex] J. Let's assume that this energy is transferred by heat to the gas in the cylinder. The energy transferred by work is one-third of this, which is 4.3 x [tex]10^{7[/tex] J / 3 = 1.43 x [tex]10^{7[/tex]J.
The first law of thermodynamics states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system:
ΔU = Q - W
where ΔU is the change in internal energy, Q is the heat added to the system, and W is the work done by the system.
In this case, the heat added to the system is 4.3 x [tex]10^{7[/tex] J, and the work done by the system is -1.43 x [tex]10^{7[/tex] J (since work done on the gas is negative). Therefore, the change in internal energy is:
ΔU = 4.3 x [tex]10^{7[/tex]J - (-1.43 x [tex]10^{7[/tex] J) = 5.73 x [tex]10^{7[/tex] J
Since the initial internal energy of the gas is 1.00 x [tex]10^{10[/tex] J, the final internal energy is:
Uf = Ui + ΔU = 1.00 x [tex]10^{10[/tex] J + 5.73 x [tex]10^{7[/tex] J = 1.07 x [tex]10^{10[/tex] J
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if u can guess all of these you will i mean will get brain
no rude answers stuff or report
Answers
Answer:
Red is your warm front.
Blue is your Cold front
Red and blue is your stationary front
Explanation:
a train is moving at a constant velocity of 100 mph in a straight line. inside the train, there is a mechanical claw that is holding a ball. the mechanical claw is fixed and rigid and so it does not move as a result of vibrations. furthermore, the claw is located halfway along the ceiling between the front and the rear ends of the car. at one point, the ball is released. please ignore air resistance. there is no wind inside the car. the ball will fall:
Answers
The ball will fall straight down to the floor of the train.
Since the train is moving at a constant velocity in a straight line, the ball, like any other object inside the train, is also moving at the same constant velocity. When the ball is released from the mechanical claw, it will continue to move forward with the same velocity as the train. However, since there are no external forces acting on the ball, it will fall straight down due to the force of gravity, as if the train were at rest.
From the perspective of an observer outside the train, the ball would appear to follow a curved path due to the combination of its horizontal velocity (which matches that of the train) and its vertical velocity (which is due to gravity). But from the perspective of an observer inside the train, the ball appears to fall straight down, as if the train were stationary. This is because the observer inside the train is also moving at the same constant velocity as the train and the ball, and therefore has no way to detect the train's motion relative to the outside world.
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Newtons Second Law
An elevator is moving up at a constant velocity of 2.5 m/s, The passenger has a mass of 85kg.
a. Construct a free body diagram for the passenger.
b. Calculate the force the floor exerts on the passenger.
The elevator now accelerates upward at 2.0 m/s^2.
a. What additional force is needed to accelerate the passenger at that acceleration? what is the direction of this force?
b. Construct a free body diagram for the passenger
Upon reaching the top of the building, the elevator accelerates downward at 3.0 m/s^2.
a. how much net force is needed to accelerate the passenger at 3.0 m/s^2? What does this do to the normal force?
b. Construct a free body diagram for the passenger, with the magnitude of each force labeled.
While descending in the elevator, the cable suddenly breaks. How big is the force on the passenger by the floor? Explain your answer.
Answers
Then both passengers, as well as the lift, are in free fall, and both accelerate downwards at the same acceleration. so, there is zero force between them.
How to solve3. vertical forces on the passenger = Fv= N-w, upwards [where N is normal force and w is its weight]
Fv= N-w= m*a =>so the force the floor exerts on the passenger is N = m*a + m*g = 1003 N.
4. vertical forces on the passenger = Fv= N-w, upwards
Fv= N-w= -m*a [-ve sign because acceleration is downwards while Fv is upwards]
so, N= m*g - m*a = 663 N.
5. if the cable breaks suddenly, the passenger's acceleration is same as gravity, so a= g; N= m*g - m*g = 0 N.
Then both passengers, as well as the lift, are in free fall, and both accelerate downwards at the same acceleration. so, there is zero force between them.
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What is the intensity of sound 4m away from a 500w speaker?. How much energy is absorbed by the eardrum per minute if the surface area of the ear is 600mm²
Answers
The intensity of sound at 4 m from a 500 W speaker is found using the inverse square law of sound propagation. Therefore, the energy absorbed by the eardrum per minute is approximately 0.107 millijoules.
The intensity of sound is the power per unit area and is given by the formula I = P/A, where I is intensity, P is power and A is the surface area. Given that the speaker has a power of 500 W and the distance is 4 m, we can find the intensity of sound using the inverse square law of sound propagation.
[tex]I = P/(4\pi r^{2} )[/tex]
[tex]I = 500/(4\pi \times 4^{2} )[/tex]
I = 4.93 W/m²
Therefore, the intensity of sound at a distance of 4 m from the speaker is 4.93 W/m².
To calculate the energy absorbed by the eardrum per minute, we need to first convert the intensity to units of energy per time per area, which is given by the formula E = ItA, where E is energy, t is time, and A is the surface area.
The energy absorbed per minute is:
E = ItA
[tex]E = 4.93 W/m^{2} \times 60 s/min \times 600\;mm^{2} \times (1 m / 1000\;mm)^{2}[/tex]
E = 0.107 mJ/min
Therefore, the energy absorbed by the eardrum per minute is approximately 0.107 millijoules.
In summary, the intensity of sound at 4 m from a 500 W speaker is found using the inverse square law of sound propagation. The energy absorbed by the eardrum per minute is calculated by converting the intensity to units of energy per time per area and using the surface area of the ear.
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A cathode ray tube is made of glass with a small amount of some kind of gas in it. It has metal electrodes at each end to pick up an electric current. The electrodes are named "positive" and "negative. "
Answers
The electrodes are named "positive" and "negative," also known as: the anode and cathode, respectively.
A cathode ray tube (CRT) is a glass vacuum tube that contains a small amount of inert gas. It is equipped with metal electrodes at each end, designed to conduct an electric current. These electrodes are named "positive" and "negative," also known as the anode and cathode, respectively.
The cathode (negative electrode) emits electrons when heated, and these electrons are accelerated towards the anode (positive electrode) due to the electric field generated between the two electrodes. As the electrons travel through the tube, they collide with the inert gas atoms, causing them to emit light in the form of cathode rays.
These rays are then focused and directed to produce images on a phosphorescent screen, which is the main function of a CRT in devices like televisions and computer monitors.
CRT technology has been widely used in the past for various display applications. However, it has been largely replaced by more advanced technologies, such as LCD and LED displays, which offer better energy efficiency, thinner designs, and improved image quality.
Despite its obsolescence, the cathode ray tube still serves as an important example of early display technology and the application of electrical and physical principles.
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Help! I need this within an hour!
suppose that a flat loop of wire with an area of 0.050 m2 lies in a magnetic field normal to the loop. if the magnetic field changes at a uniform rate from 0.30 t to 1.5 t it induces an emf of 1.2 volts in the loop. find the time interval for the change.
0.023 sec
0.050 sec
0.073 sec
0.085 sec
Answers
The time interval for the change in magnetic field is 0.05 s.
The area of cross-section of the loop, A = 0.05 m²
Initial magnetic field, B₁ = 0.3 T
Final magnetic field, B₂ = 1.5 T
Induced emf in the loop, ε = 1.2 V
The expression for induced emf in the loop of wire is given by,
ε = A(dB/dt)
Therefore, the time interval for the change,
dt = AdB/ε
dt = A(B₂ - B₁)/ε
dt = A(1.5 - 0.3)/1.2
dt = 0.05 x 1.2/1,2
dt = 0.05 s
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Problem B: Shock Wave Escape (5 points)
The star of a distant solar system explodes as a supernova. At the moment of the explosion, an
resting exploration spaceship is 15 AU away from the shock wave. The shock wave of the explo-
sion travels with 25000 km/s towards the spaceship. To save the crew, the spacecraft makes use
of a special booster that uniformly accelerates at 150 m/s in the opposite direction.
Determine if the crew manages to escape from the shock wave. (Neglect relativistic effects. )
Answers
Based on the given values and calculations, the crew of the exploration spaceship will manage to escape from the shock wave of the supernova explosion.
We must calculate how long it will take for the shock wave of the supernova explosion to reach the exploratory spaceship and how far the spaceship will have traveled by that time in order to decide if the crew is able to escape.
First, we must convert the AU to km measurement of the distance between the spacecraft and the shock wave. 15 AU is equivalent to 2244 million km, with 1 AU being equal to 149.6 million km.
Using the equation d = vt, where d is distance, v is velocity, and t is time, we can calculate how long it will take for the shock wave to reach the spaceship. The velocity of the shock wave is given as 25000 km/s, so we have:
2244 million km = 25000 km/s x t
Solving for t, we get t = 89,760 seconds.
The distance the spacecraft will have covered during that period must now be calculated. The formula d = vt + 1/2 at2, where an is acceleration, can be used. Although the booster's stated acceleration is 150 m/s, we must convert this to km/s in order to use it in our computation. 0.15 km/s is equivalent to 150 m/s.
d = vt + 1/2 at^2
d = 0 km/s x 89,760 s + 1/2 (0.15 km/s^2) x (89,760 s)^2
d = 6005.76 million km
Therefore, the spaceship will have traveled 6005.76 million km by the time the shock wave reaches it.
The crew of the spaceship will definitely be able to escape the shock wave because it needs to travel a distance of 2244 million kilometers, while the spaceship will have traveled 6005, 76 million km in the opposite direction.
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Imagine you wanted to launch a satellite so that it traveled in the opposite direction from usual that is east to west rather than the west to east.how fast would the rocket launching that satellite have to travel relative to the launching site , if you launched it from a point on the equator
Answers
To launch a satellite towards the west, the rocket must have a velocity of 8.38 km/s, which is the sum of the Earth's rotational velocity and the desired speed of the satellite relative to the Earth's surface.
If we want to launch a satellite in the opposite direction of the Earth's rotation, it would have to be launched from west to east. The Earth rotates towards the east with a velocity of approximately 465.1 m/s at the equator.
Hence, to launch the satellite towards the west, the rocket must have a velocity of 465.1 m/s plus the desired speed of the satellite relative to the Earth's surface. The magnitude of the rocket's velocity relative to the Earth's surface would depend on the altitude at which the satellite is to be placed.
If we assume a low Earth orbit of 200 km, then the satellite must move at a speed of approximately 7.91 km/s relative to the Earth's surface. Therefore, the rocket launching the satellite would have to travel at a velocity of approximately 8.38 km/s (7.91 km/s + 465.1 m/s) relative to the launching site on the equator.
In summary, to launch a satellite towards the west, the rocket must have a velocity equal to the sum of the Earth's rotational velocity and the desired speed of the satellite relative to the Earth's surface.
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Imagine conventional current running up the right, around and back down left side of a loop of wire. The magnetic field inside the loop of wire will be directed ______.
a) out of the page.
b) into the page.
c) the fields will cancel each other out
Answers
The magnetic field inside the loop of wire will be directed into the page. Option b is correct.
When a current flows through a loop of wire, it generates a magnetic field around it. The direction of the magnetic field can be determined using the right-hand rule. If you curl the fingers of your right hand in the direction of the conventional current (from right to left in this case), your thumb will point in the direction of the magnetic field inside the loop. In this scenario, the current flows up the right side of the loop, then around the top and back down the left side.
Using the right-hand rule, the magnetic field inside the loop is directed into the page. This is because the magnetic field lines form a loop inside the wire, and the direction of the field is perpendicular to the plane of the loop, pointing into the center of the loop. Option b is correct.
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Blue jeans (blank) blue light, so that we see them as the color blue.
Answers
Answer:
Blue Jeans (are) blue light,
so that we see them as the color
How far can you get away from your little brother (in meters) who has a squirt gun if you can travel at a speed of 3.0 m/s and you have 10.0 s before he sees you?
Answers
You can get 30.0 meters away from your little brother if you travel at a speed of 3.0 m/s for 10.0 seconds.
To solve this problem, we can use the formula:
distance = speed x time
Given, your speed is 3.0 m/s and you have 10.0 s to get away from your little brother. Using the formula, we get:
distance = 3.0 m/s x 10.0 s = 30.0 m
Therefore, you can get 30.0 meters away from your little brother if you travel at a speed of 3.0 m/s for 10.0 seconds. However, keep in mind that your little brother may also be able to run or move at a certain speed, so this distance may not guarantee complete safety.
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During super bowl weekend, the NFL sets up a receiver on a stationary hovercraft. A
. 257 kg football is thrown at 9. 76 m/s to a receiver and hovercraft with a total mass of
98. 6 kg. When the ball is caught what is the new speed of the system?
Do NOT put in units or it will be marked wrong! The answer's value only! Please round
each answer to 3 places,
MaVa + MbVb = (Ma+b)(Va+b)
Answers
The new speed of the system when the ball is caught is approximately 0.025 m/s
To solve this problem, we will use the conservation of momentum equation:
MaVa + MbVb = (Ma + Mb)(Va+b)
where Ma is the mass of the football (0.257 kg), Va is the velocity of the football (9.76 m/s), Mb is the mass of the receiver and hovercraft (98.6 kg), and Vb is the initial velocity of the receiver and hovercraft (0 m/s, since it is stationary).
0.257 kg * 9.76 m/s + 98.6 kg * 0 m/s = (0.257 kg + 98.6 kg) * (Va+b)
2.50632 kg*m/s = 98.857 kg * (Va+b)
Now, we will solve for Va+b:
Va+b = 2.50632 kg*m/s / 98.857 kg
Va+b ≈ 0.025 m/s
So, the new speed of the system when the ball is caught is approximately 0.025 m/s, rounded to three decimal places.
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A pressure switch is used in a washing machine to control the flow of water. The water pushes on a flexible container and compresses some trapped air. When the pressure of this trapped air reacher 104 kPa, the pressure switch turns the water off. The pressure of the trapped air is given by this relationship: pressure of the trapped air - atmospheric pressure + pressure difference caused by the water. Calculate the height of water in the machine when the pressurre of the trapped air reaches to 104 kPa and the switch operates. (atmospheric pressure = 100 kPa, density of water = 1000 kg/m^3)
Answers
The pressure switch controls water flow in the washing machine by monitoring trapped air pressure. Water column height is calculated using [tex]P = \rho gh + Patm[/tex]. At 104 kPa trapped air pressure, the water column height is 4.1 cm.
The pressure switch in a washing machine controls the flow of water by monitoring the pressure of trapped air. The pressure of the trapped air is affected by atmospheric pressure, the pressure difference caused by the water, and the height of the water column.
To calculate the height of water in the machine when the pressure of the trapped air reaches 104 kPa, we can use the equation:
[tex]P = \rho gh + Patm[/tex]
where P is the pressure of the trapped air, ρ is the density of water, g is the acceleration due to gravity, h is the height of the water column, and Patm is the atmospheric pressure.
Substituting the given values, we get:
[tex]104 kPa = 1000\;kg/m^3 \times 9.81 m/s^2 \times h + 100 \;kPa[/tex]
Solving for h, we get:
[tex]h = (104 \;kPa - 100 \;kPa)/(1000 \;kg/m^3 \times 9.81 \;m/s^2)[/tex]
h = 0.041 m or 4.1 cm
Therefore, the height of water in the machine when the pressure of the trapped air reaches 104 kPa is 4.1 cm.
In summary, the pressure switch in a washing machine uses the pressure of trapped air to control the flow of water. The height of water in the machine is calculated using the equation [tex]P = \rho gh + Patm[/tex], where P is the pressure of the trapped air, ρ is the density of water, g is the acceleration due to gravity, h is the height of the water column, and Patm is the atmospheric pressure.
By substituting the given values, we find that the height of water in the machine when the pressure of the trapped air reaches 104 kPa is 4.1 cm.
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