The longest wavelength associated with this frequency range is 10 meters.
What is wavelength ?
Wavelength is a measure of the distance between two consecutive crests or troughs of a wave. It is an important physical quantity that describes the size of a wave. It is typically measured in meters, as it is a measure of physical space. Wavelength is used to describe many types of waves, such as sound waves, light waves, water waves and radio waves. In addition, wavelength is an important factor in determining the frequency of a wave, which is the number of wave cycles per second. Wavelength is inversely related to frequency, meaning that as the wavelength increases, the frequency decreases. Wavelength is also used to describe the different colors of visible light, as each color has a different wavelength.
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Given that each m³ of mercury weighs1.36 x 10^5 N and each m³ of water weight 1.00 x 10^4 N,
a. determine the pressure at the bottom of a column 0.76 m tall if there is a vacuum above the
mercury.
b. determine the height of a column of water that would yield the same pressure at the bottom,
assuming that a vacuum could again be maintained at the top of the column
A column of water that is 10.2 m tall would yield same pressure at the bottom as a column of mercury that is 0.76 m tall, assuming that vacuum could be maintained at the top of water column.
What is pressure in chemistry?In chemistry, pressure refers to the amount of force exerted per unit area by a gas, liquid or solid on surface.
a. The pressure at the bottom of a column of mercury that is 0.76 m tall is given by:
pressure = density x gravity x height
So, pressure at the bottom of column of mercury is:
pressure = (1.36 x 10⁵ N/m³) x (9.81 m/s²) x (0.76 m)
= 9.98 x 10⁵ N/m²
b. pressure = density x gravity x height
height = pressure / (density x gravity)
height = (9.98 x 10⁵ N/m²) / (1.00 x 10⁴ N/m³ x 9.81 m/s²)
= 10.2 m
So, column of water that is 10.2 m tall would yield same pressure at the bottom as column of mercury that is 0.76 m tall, assuming that vacuum could be maintained at the top of water column.
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Examine the circuit in the figure. What is the equivalent resistance of the entire circuit?
Comparable opposition of the circuit refers to the total electric resistance that a circuit encounters as a equivalent resistance result of every one of its resistors cooperating against its voltage source.
The equivalent resistance of the circuit is what?Equivalent Resistance is the total electrical resistance that all of the resistors in a circuit produce when they are all running against the same voltage source.
Why is the resistance equal?It is referred to as the equivalent resistance when the entire resist connected in either parallel or series connection is known. Basically, the circuit can be constructed in parallel or series. How much power is needed to carry current or charges through your devices is shown by electrical resistance.
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What is the weight of NASA's rover,the Opportunity,if its mass is 185 kg and acceleration due to gravity on mars is 3,8 m/s2
Answer:
Weight = 703 Newton
Explanation:
Simple, weight be depends on the mass and gravity.
Weight = mass x gravity
Weight = 185 x 3.8
Weight = 703 Newton
Extra problem:
What is the weight of rover on Earth?
(Gravity on Earth is 9,8 m/s2)
a) a drone flies 150 m to southwest (directly between south and west), then flies 85 m directly south, and finally flies 550 m in the direction 35 degrees north of east. Use the analytical method to find the resultant displacement of the drone (magnitude and direction)
you can help with a
The resultant of the displacement is 336.5m
What is resolution of vectors?The process of splitting a vector into its components is called resolution of the vector. The vectors are splitted into vertical and horizontal component.
For the first displacement;
The vertical component = - 150 sin45 = -106.1 m
The horizontal component = - 150 cos 45° = -106.1 m
For the second displacement;
The vertical displacement = - 85sin90 = -85
The horizontal component = 0
For the third displacement;
The vertical displacement = 550 sin55 = 450.5
The horizontal displacement = 550 cos 55 = 315.5
Sum of vertical component = 450.5-85-106.1 = 263.4
sum of horizontal component = 315.5 -106.1 = 209.4
Using Pythagorean theorem
R = √ 263.4² + 209.4²
R = √113227.92
R = 336.5m
The resultant angle = tan^-1( 263.4/209.4)
= tan^-1(1.26)
= 51.56°
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580 nm light shines on a double slit with d = 0.000125 m. What is the angle of the first bright interference maximum (m=1)?
PLS ANSWER
The angle of the first bright interference maximum (m=1) can be calculated using the equation: θ = sin-1(mλ/d).
What is equation ?An equation is a mathematical expression that uses symbols to describe a relationship between two or more variables. Equations are typically used to express relationships between physical quantities, such as forces and masses, or distances and times. They are also used to describe chemical reactions and other phenomena. Equations can be used to solve for unknown values, or to describe patterns or trends in data. Equations are typically written using algebraic notation, which includes variables, constants, and operators.
Substituting the given values, we get,θ = sin-1(1(580 × 10-9m)/(0.000125m)),θ = 0.00463 radians or 0.2637° .
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when lucy jumped from the paddleboard into the water, the paddleboard floated backwards as her body move forward. which law of motion is this?
The third law of Newton's theory of motion states that there is a contrary response to every action. Anytime forceone body puts pressure on another, the second body puts equal and opposing pressure on the first.
In science, what exactly is a force?It is quite acceptable to refer to a force of this level as a push and a pull. Force is not a property that an object 'has in it' or that it 'contains. One thing is subject to a force from another. There is no distinction between living and non-living things in the concept of a force.
Force and example are what?Simply put, force is the push / pull motion. Both touch and non-forces are different types of force. Forces like nuclear effect, the force of gravity, frictional force, magnetism force, electric force, and spring force are a few examples.
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A uniform Rod with length L and mass M is held level by a rope
as the other end sits against a wall. The rope is tied to the
opposite end at an angle of 30 degrees above the horizontal.
a) Determine the tension of the rope.
b) Determine the minimum coefficient of static
friction between the rod and wall.
Between the rod and wall, a minimum static friction coefficient of 3 exists.
Calculation-Determine the tension of the rope.The weight (mg) operating at the centre of mass (L/2) and the tension force (T) acting at an angle of 30 degrees above the horizontal are the forces acting on the rod. The total of the forces acting in the x and y directions must be zero since the rod is in equilibrium:
∑Fx = 0: T cos 30 = 0 (no horizontal force)
∑Fy = 0: T sin 30 - mg = 0
Solving for T, we get:
T = mg / sin 30
T = (Mg) / (1/2)
T = 2Mg
B) Determine the minimum coefficient of staticThe separation between the tension force application point and the weight force application point is L/3. The torque equation is thus:
T - mg/2 = Ff (L/3)
Solving for the coefficient of static friction, we get:
μ = Ff / (mg/2)
μ = (T - mg/2) / (mg/2)
μ = [2Mg - (Mg/2)] / (Mg/2)
μ = 3
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a system of levers with v.r of 25 overcomes a resistant force of 3300n. when an effort of 165n is applied to it. i) calculate m.a of the system ii) its efficiency
i) Mechanical advantage of the system is 25. ii) Efficiency of the system is 20%.
What is efficiency?Efficiency is a measure of how much of the input energy or work is converted into useful output energy or work
Given : V.R. (Velocity Ratio) = 25, Resistant force = 3300 N, Effort force = 165 N
i) Mechanical Advantage (M.A.) can be calculated using the formula: M.A. = V.R. = 25
Therefore, the mechanical advantage of the system is 25.
ii) Efficiency can be calculated using the formula: Efficiency = (Output work / Input work) x 100%
Output work = Resistance x Distance moved by resistance
As Input work =Effort x Distance moved by effort
Effort x Distance moved by effort = Resistance x Distance moved by resistance
165 N x distance = 3300 N x distance/25
distance = (25 x 165 N) / 3300 N
distance = 1.25 m
Output work = Resistance x Distance moved by resistance
= 3300 N x 1.25 m
Output work = 4125 J
As Input work= Effort x Distance moved by effort
= 165 N x 1.25 m
Input work = 206.25 J
Efficiency = (Output work / Input work) x 100%
= (4125 J / 206.25 J) x 100%
Efficiency = 20%
Therefore, efficiency of the system is 20%.
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The principle of cross-cutting relationships states that certain features, such as faults, are than the rock layers they cut through. These features are breaks in Earth’s surface where rock has moved sideways, upward, or downward. formations are made of molten rock that has cooled. Those on Earth’s surface are called . Those beneath Earth’s surface are called .
a child holds a 10N toy car for 30 seconds. what is the net work done on the toy car?
If the child is holding the toy car still for 30 seconds, then net work done on the car is zero.
What is meant by work done?Work is defined as the product of force and displacement in the direction of force. In this case, the force and displacement are perpendicular to each other, so no work is being done. Therefore, net work done on the toy car is zero.
If the child is holding the toy car still, then net work done on the car is zero. This is because the force exerted by the child is equal in magnitude and opposite in direction to the force of gravity acting on the car and car is not moving, so there is no displacement.
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A compound microscope has a barrel length of =159.0 mm and an objective with a 4.070 mm focal length. The total angular magnification of the microscope is −411.0. Using the approximation that the barrel length is large relative to the focal lengths, determine the angular magnification of the eyepiece.
A microscope's objective lens has a focal length of 4 cm, whereas the eye lens's focal length is 8 cm. if 24 cm is the minimum distance at which a person can see clearly,
How does a microscope use magnification?When an object is magnified, it appears in a microscope image at a scale bigger than its true size. Only when it is able to see more specifics of an item in the photograph than when studying the thing without the use of a magnifying glass does magnification serve a beneficial purpose.
What magnification do 10x and 4x represent?Scanning objective lenses typically have a magnification of 4x, and when paired with a 10x eyepiece lens, they have a total magnification of 40x.
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When 4 year old Curtis calls all objects with 4 wheels and a metal body a truck, he is demonstrating Piaget's concept of _____________. However when Curtis modified his schema of cars to recognize the difference between cars and trucks, he is demonstrating Piaget's concept of_______________.
When 4 year old Curtis calls all objects with 4 wheels and a metal body a truck, he is demonstrating Piaget's concept of assimilation. However when Curtis modified his schema of cars to recognize the difference between cars and trucks, he is demonstrating Piaget's concept of accommodation.
What is assimilation?Assimilation refers to the process by which an individual or group adopts the cultural, social, or linguistic norms and practices of another group. This can happen voluntarily or involuntarily, and may involve changes to one's behaviors, beliefs, values, or language in order to fit in with the dominant culture.
Assimilation can occur in many different contexts, such as immigration, colonialism, or cultural exchange. In some cases, assimilation may be seen as a positive way for individuals to integrate into a new society and feel a sense of belonging. However, in other cases, assimilation may be seen as a negative process that erases the unique cultural identities and practices of minority groups.
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A long piece of wire with a mass of 0.100 kg and a total length of 4.00 m is used to make a square coil with a side of 0.100 m. The coil is hing along a horizontal side, carries a 3.80 A current, and is placed in a vertical magnetic field with a magnitude of 0.010 0 T.
a, Determine the angle that the plane of the coil makes with the vertical when the coil is in equilibrium. b Find the torque acting on the coil due to the magnetic force at equilibrium.
The torque is equal to zero since the coil is in equilibrium. As a result, will also equal zero, indicating that the coil's plane is parallel to the vertical direction at equilibrium.
Calculation-The current-carrying coil in a magnetic field is given by:
τ = μ * B * I * A * sin(θ)
where:
τ = torque (in Nm)
μ = magnetic moment of the coil (in Am^2)
B = magnetic field strength (in T)
I = current flowing through the coil (in A)
A = area of the coil (in m^2)
θ = angle between the plane of the coil and the magnetic field (in radians)
μ = N * A * I
N = number of turns of the coil
A = area of the coil (in m^2)
I = current flowing through the coil (in A)
the equations to calculate the angle θ:
m = 0.100 kg (mass of the wire)
L = 4.00 m (total length of the wire)
side length = 0.100 m
I = 3.80 A (current flowing through the coil)
B = 0.0100 T (magnetic field strength)
Calculations:
A = side length^2 * N = 0.100^2 * 1 = 0.0100 m^2
μ = N * A * I = 1 * 0.0100 * 3.80 = 0.0380 Am^2
Now we can rearrange the equation for torque to solve for θ:
θ = arcsin(τ / (μ * B * I * A))
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A wave of a particular object has a frequency of 260 Hz and a wavelength of 2.5 M. What speed does the wave have, to the nearest meter per
second?
Answer:
650 m/s
Explanation:
f = v/λ
v = fλ = (260 Hz)(2.5 m) = 650 m/s
How much pressure does a box whose sides are 1.59 m long each exert on the ground due to gravity?Assume that the box has a mass of 68.2 kg. HINT: Look at the definition of pressure - what force is doing the "pushing?" What's the area?
The pressure that the box exerts on the ground due to gravity is approximately 264.63 Pa.
What is pressure?Pressure is the amount of force per unit area. The pressure that the box exerts on the ground due to gravity is the amount of force per unit area that the box applies to the surface it is resting on. It is calculated by dividing the weight of the box by the area of the surface in contact with the box.
To find the pressure that the box exerts on the ground due to gravity, we need to first find the force of gravity acting on the box, and then divide it by the area of the box in contact with the ground.
The force of gravity acting on the box can be found using the formula:
F = m * g
where F is the force of gravity, m is the mass of the box, and g is the acceleration due to gravity, which is approximately 9.81 m/s^2.
Substituting the given values, we get:
F = 68.2 kg * 9.81 m/s^2 = 669.042 N
The area of the box in contact with the ground can be found by multiplying the length and width of the box. Since all sides of the box are 1.59 m, we have:
A = length * width = 1.59 m * 1.59 m = 2.5281 m^2
Now we can find the pressure using the formula:
P = F/A
Substituting the values we found earlier, we get:
P = 669.042 N / 2.5281 m^2 = 264.63 Pa
Therefore, the pressure that the box exerts on the ground due to gravity is approximately 264.63 Pa.
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If the boat in the preceding example travels with the same speed of 20 km h¹¹ relative to the water and is to travel due north, in what direction should it travel?
What is a distinguishing feature in a city known as?
OA) hot spot
OB) landmark
C) state legend
OD) state park
A defining characteristic of a city is often referred to as a "landmark." A landmark is a distinctive feature or building that stands out and is used to identify or represent a location. Landmarks can be man-made, such as structures, monuments, or historical locations, or they can be natural, like mountains, rivers, or lakes.
Landmarks are significant tourist destinations for both locals and visitors because they frequently have historical, cultural, or architectural value. They can serve as a symbol of a city's identity, history, and personality and end up being recognised as the place's iconic symbols. Landmarks might be notable buildings, statues, cathedrals, museums, or bridges that have come to symbolise the city in which they are located.
Therefore, option (OB) "landmark" is the term used to describe a distinguishing feature in a city.
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if 0.2J of work is done in raising a 180 g apple how far is it lifted
The height of the apple is 0.113 m.
What is height?Height is the vertical distance between two points.
To find how far the apple was lifted, we use the formula below
Formula:
h = W/mg...................... Equation 1Where:
h = How far the apple was liftedW = Work done to lift the applem = Mass of the appleg = Acceleration due to gravityFrom the question,
Given:
W = 0.2 Jm = 180 g = 0.18 kgg = 9.8 m/s²Substitute these values into equation 1
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The students brought the cart back to the starting point one more time. The cart sits motionless on the sidewalk as they plan their next investigation. What could they infer about the cart as it sits on sidewalk?
A. The forces acting on the cart are balanced. B. Gravity is the only force acting on the cart.
C. The cart has too much mass to be acted on by forces.
D. The cart moves only when acted on by a pulling force.
The forces acting on the cart are balanced. this they infer about the cart as it sits on sidewalk. Hence option A is correct.
The most plausible conclusion the students may draw about the cart, which is immobile on the sidewalk, is that the forces pulling on it are balanced based on the facts provided. Accordingly, there is no net force exerted on the cart, and forces operating in opposing directions cancel one another out to bring about equilibrium. The cart's inertia suggests that no unbalanced force is pressing on it, supporting the conclusion that the forces pushing the cart are also balanced. The most logical conclusion the students may draw is option A.
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A 3.63 kg Doepke Toys 1952 Jaguar XK 120 race toy car is pushed by a person along a track so that it is moving at 0.65 m/s. It hits a spring (k = 700 N/m) at the end of the track, causing it to compress. Determine how far did the spring compress to bring the toy car to a stop.
According to the question the spring compressed 7.3 cm to bring the toy car to a stop.
What is spring?Spring is a season of renewal and rebirth. It is the period of time between winter and summer when days become warmer, plants and flowers begin to bloom, and the earth comes alive with new life. During spring, animals come out of hibernation, birds return from their winter migration and the sun stays in the sky for longer periods of time. Spring is a time of transformation and growth, when the earth is filled with color and beauty. It is a time for us to enjoy the outdoors, appreciate nature and appreciate the beauty of the world around us. Spring is a time to start anew, begin fresh projects and enjoy the beauty of the world.
The distance the spring compresses to bring the toy car to a stop can be calculated using the equation: x = (1/2k)mv^2, where x is the distance the spring compresses, k is the spring constant, m is the mass of the toy car, and v is the initial velocity. Substituting the given values, we get:
x = (1/2(700 N/m))(3.63 kg)(0.65 m/s)^2 = 7.3 cm
Therefore, the spring compressed 7.3 cm to bring the toy car to a stop.
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Wire A X is fold back at p such that /AP/= 40cm and its parallel with px which is 60cm long to form parallel combination. Calculate the effective resistance of the parallel combination if the resistance per unit length of the material of tge wire
Answer: To find the total resistance of the wires, we need to use a formula that takes into account the length and cross-sectional area of the wires and the resistivity of the material they are made of. By plugging in the appropriate values for the length, cross-sectional area, and resistivity of the wires in the formula, we can find the individual resistances of the wires. Then, by using another formula for the total resistance of a parallel combination, we can find the effective resistance of the wires in parallel.
Explanation:R = ρ * (L / A)
where R is the resistance of the wire, ρ is the material's resistivity (resistance per unit length), L is the length of the wire, and A is the cross-sectional area of the wire.
according to the given data
AP= 40 cm
px=60cm
Next, we need to calculate the wire PX's length and cross-sectional area. The length is given as 60 cm, and we can assume the same diameter of 1 mm, giving a cross-sectional area of 0.785 mm^2.
Now we can calculate the resistance of each wire using the formula above:
R_AX = ρ * (80 cm / 0.785 mm^2) = 101.91 * ρ
R_PX = ρ * (60 cm / 0.785 mm^2) = 76.43 * ρ
The total resistance of the parallel combination is given by the formula:
1/R_total = 1/R_AX + 1/R_PX
Substituting the values of R_AX and R_PX, we get:
1/R_total = 1/(101.91 * ρ) + 1/(76.43 * ρ)
1/R_total = (1.55 / ρ)
R_total = ρ / 1.55
therefore, the effective resistance of the parallel combination is (ρ / 1.55) ohms
Which of the following is the best estimate of the mass of all humans living on Earth?
he best estimate of the mass of all humans living on Earth is (d) 3 3 1011 kg
What is the estimate of the mass of all humans living on Earth?The best estimate of the mass of all humans living on Earth can be calculated by multiplying the estimated number of humans by the average mass of a human being.
According to the United Nations, the world population as of mid-2022 was around 7.92 billion. The average mass of an adult human being is approximately 62 kilograms (136.7 pounds).
Therefore, the estimated mass of all humans living on Earth is:
7.92 billion (humans) x 62 kg (average mass per human) = 4.9104 x 10^11 kg
Out of the given options, the closest estimate is (d) 3 3 10^11 kg.
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(a) 2 3 108 kg (b) 1 3 109 kg (c) 2 3 1010 kg (d) 3 3 1011 kg (e) 4 3 1012 kg
Cross-training is participating in a variety of sports. Why is cross-training good for you? If your favorite sport is soccer, what other activities could you do to cross train?
Write at least one well-developed paragraph.
Cross-training is a great way to improve overall fitness and athleticism while reducing the risk of injury. By participating in a variety of sports, individuals can target different muscle groups and develop a wider range of skills, leading to a more well-rounded athletic ability. Additionally, cross-training helps prevent overuse injuries by giving the body a break from the repetitive motions of a single sport.
For a soccer player looking to cross-train, there are many options. Running is a great way to improve endurance and cardiovascular health, while also building leg muscles. Strength training, such as weightlifting or bodyweight exercises, can improve overall power and explosiveness. Yoga or Pilates can help improve flexibility and balance, both important factors in soccer. Other sports that can be beneficial for soccer players to cross-train in include basketball, volleyball, and tennis, all of which require quick movements and hand-eye coordination. By incorporating a variety of activities into their training regimen, soccer players can improve their overall fitness and become more well-rounded athletes.
what is the change of entropy if 536 g of gold are melted?
Answer: Therefore, the change in entropy when 536 g of gold are melted is 0.132 J/K.
Explanation: To calculate the change in entropy when 536 g of gold are melted, we need to know the entropy of fusion of gold and the temperature at which it melts.
The entropy of fusion of gold is 2.35 J/g·K, and the melting point of gold is 1064 °C or 1337 K.
The change in entropy when gold is melted can be calculated using the formula:
ΔS = Q/T
where ΔS is the change in entropy, Q is the heat absorbed during the process, and T is the temperature at which the process occurs.
The heat absorbed when gold is melted can be calculated using the formula:
Q = m × ΔH_fus
where m is the mass of the gold and ΔH_fus is the enthalpy of fusion of gold, which is 64.9 kJ/mol.
Converting the mass of gold to moles:
536 g / 196.97 g/mol = 2.72 mol
The heat absorbed by the gold when it is melted is:
Q = 2.72 mol × 64.9 kJ/mol = 176.2 kJ
Finally, we can calculate the change in entropy:
ΔS = Q/T = 176.2 kJ / 1337 K = 0.132 J/K
Using the periodic table, determine which of the following atoms is most likely to form a positive ion?
Using the periodic table Calcium (Ca) is most likely to form a positive ion.
What is ion?Ion is a type of particle that has an electric charge. It can be positively or negatively charged, depending on its atomic structure and the number of protons and electrons it contains. Positively charged ions are called cations and negatively charged ions are called anions. Ions play an important role in a variety of physical and chemical processes, such as forming ionic bonds, allowing substances to dissolve in water, and carrying electrical current in solutions. They are also important in the formation and stability of molecules, as well as in the formation of compounds and minerals.
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In the figure, two blocks, of masses 2.00 kg and 3.00 kg, are connected by a light string that passes over a frictionless pulley of moment of inertia 0.00400 kg · m2 and radius 4.3 cm. The coefficient of friction for the tabletop is 0.4. The blocks are released from rest. Using energy methods, find the speed of the upper block just as it has moved 0.600 m.
The speed of the upper block just as it has moved 0.600 m is 1.42 m/s.
How to explain the speedThe pulley is frictionless so even if the string passes over it, it will not rotate.
In this case, two blocks, of masses 2.00 kg and 3.00 kg, are connected by a light string that passes over a frictionless pulley of moment of inertia 0.00400 kg ·
In conclusion, the speed of the upper block just as it has moved 0.600 m is 1.42 m/s. This was calculate thus:
= 1/2(5)v² + 1/2(0.004/0.05)²v² = mgh
= (3.2)v² = (2 - 3 × 0.3) × 5.8 × 0.6
v = 1.42
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You are trying to figure out how fast your BB gun can shoot. So you set up a block-spring system. By firing the BB into the block, the spring gets compressed. Specifics: Mass of {BB}=8 grams, mass of block =4.0 kg, spring compression = 3.7 cm, spring constant =2500N / m Calculate the speed of the BB.
(1) 440 m/s
(2) 520 m/s
(3) 500 m/s
(4) 460 m/s
According to the question the velocity of the BB is 520 m/s.
What is velocity?Velocity is a vector that measures the rate of change of an object's position in a particular direction. It is usually expressed in meters per second (m/s). Velocity is a combination of both speed and direction, and can be measured relative to other objects or the environment. Velocity is a measure of how fast an object is moving and in what direction, but it can also include the rate of change of other parameters such as force, pressure, acceleration, or angular momentum.
Using the equation F = kx (where F is force, k is spring constant, and x is the displacement of the spring), we can calculate the force of the BB hitting the block.
F = 2500N/m x 0.037m = 92.5N
Then, using the equation F = ma (where F is force, m is mass, and a is acceleration), we can calculate the acceleration of the BB hitting the block. a = F/m = 92.5N/0.008kg = 11,562 m/s²
Finally, using the equation v₂ = u₂ + 2as (where v is final velocity, u is initial velocity, a is acceleration, and s is displacement), we can calculate the velocity of the BB.
v₂ = 0 + (2 x 11,562 m/s2 x 0.037m) = 520 m/s.
Therefore, the correct option is B.
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A wave of a particular object has a speed 960 M/S and has a frequency of 8,000 Hz.What is the wavelength of the wave for that object?
Answer:
0.12 m (12 cm)
Explanation:
v = 960 m/s
f = 8000 Hz
λ = ?
λ = v/f = 960 m/s / 8000 Hz = 0.12 m = 12 cm
Find the direction of this vector remember angles are measured from the +x-axis
The direction of this vector is 135° (measured counterclockwise from +x-axis).
What is direction ?Direction is a set of instructions or guidelines that provide a means of achieving a goal. It is a form of communication that can be used to motivate, inform, and lead people in a particular direction. Direction can come from a variety of sources, such as a leader, a manager, or an individual who is seeking to accomplish something. Direction is often used to help people find the right path to success and can be used to provide clarity and focus in order to achieve desired outcomes. Direction can also involve setting expectations and providing feedback or coaching to help people stay on track and reach their goals.
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A girl runs up the down escalator in the mall. If the escalator is moving with a velocity of 27 m/min and the girl is running with a velocity of 28 m/min, how far up the escalator can she go in 2 minutes?
The girl can go up the escalator by 2 meters in 2 minutes if a girl runs up the down escalator in the mall and escalator is moving with a velocity of 27 m/min and the girl is running with a velocity of 28 m/min,
When the girl runs up the down escalator, her effective velocity is the difference between her velocity and the velocity of the escalator. In this case, the escalator is moving down with a velocity of 27 m/min, while the girl is running up with a velocity of 28 m/min. So, her effective velocity is:
Effective velocity = Girl's velocity - Escalator's velocity
= 28 - 27
= 1 m/min
Therefore, the girl is moving up the escalator at a speed of 1 m/min.
To calculate how far up the escalator she can go in 2 minutes, we need to use the formula:
Distance = Speed x Time
In this case, the speed is the effective velocity of the girl, which is 1 m/min, and the time is 2 minutes. So, the distance she can go up the escalator is:
Distance = Speed x Time
= 1 x 2
= 2 meters
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