To obtain a small real image on the film inside the camera, the object should be placed at a distance greater than the focal length of the converging lens.
Some additional information that could be helpful to understand how to obtain a small real image in a camera:
A converging lens is a lens that causes parallel rays of light to converge at a point after passing through it.The distance between the object and the lens is known as the object distance (u), while the distance between the lens and the image formed is known as the image distance (v).The point where the light rays converge after passing through the lens is known as the focal point, and the distance between the focal point and the lens is known as the focal length (f).When an object is placed at a distance greater than the focal length of the lens, a real image is formed on the other side of the lens.The size and orientation of the image formed depend on the distance between the object and the lens and the focal length of the lens.To obtain a small real image on the film inside the camera, the object should be placed at a distance greater than the focal length of the lens, and the lens should be adjusted to focus the image onto the film.Learn More About converging
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what will happen to the period of a pendulum if the pendulum bob is replaced by a smaller one with half the mass?
The period of a pendulum is dependent on its length and the gravitational acceleration. It is not affected by the mass of the pendulum bob. Therefore, replacing the pendulum bob with a smaller one that has half the mass will not have any effect on the period of the pendulum. The period will remain the same as long as the length and the gravitational acceleration remain constant.
This is because the period of a pendulum is primarily determined by its length and the acceleration due to gravity, not its mass. The formula for the period of a pendulum is T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.
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Suppose you take two thermometers out of hot water, dry one, and then wave both around in the air. Will there be any difference in the time it takes them to reach room temperature? (Hint: Imagine getting out of a shower on a dry day. How does perspiration work?)
Yes, there will be a difference in the time it takes for the thermometers to reach room temperature. The thermometer that was dried will reach room temperature faster than the one that was not dried. This is because the process of evaporation, which is similar to how perspiration works, cools the wet thermometer more quickly.
When you wave the thermometers around in the air, the remaining water on the wet thermometer will evaporate, taking heat away from the thermometer and causing it to cool down at a slower rate than the dried thermometer.
The dry thermometer will evaporate any moisture on its surface more quickly than the wet thermometer. This is similar to how perspiration works on our bodies - when we get out of the shower on a dry day, the water on our skin evaporates more quickly, cooling us down faster. Therefore, the dry thermometer will cool down faster than the wet thermometer and will reach room temperature before the wet one.
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A prize wheel is spinning in a vertical circle when an acceleration of 2.0 rad/s^2 is applied to the edge of the wheel as it spins through 5.0 rad. If the final velocity of the wheel was measured to be 9.0 rad/s, what was the initial velocity of the wheel?
The initial velocity of the prize wheel from the givens is calculated by using the equation of motion. The initial velocity of the wheel is 7.8 m/s.
From the equation of motion, the initial velocity, final velocity, distance, acceleration, and time was taken are calculated by choosing the appropriate equation. From the given, the final velocity (v) is 9 rad/s, distance(s) is 5 rad, and acceleration (a) is 2.0 rad/s^2.
The equation is
v² = u² + 2as
v²₋ 2as = u²
9² - 2(2)(5) =u²
u² = 61
u = √61
= 7.8 m/s
Thus the initial velocity of the wheel is 7.8 m/s.
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Question 7 of 10
What could you do to increase the electric potential energy between two
positively charged particles by a factor of 16?
A. Increase the distance by a factor of 16.
B. Reduce the distance by a factor of 4.
C. Reduce the distance by a factor of 16.
D. Increase the distance by a factor of 4.
If you hold a piece of metal in your hand and rub it back and forth on emery paper or sandpaper, do you expect the temperature of the metal to change? If so, will the temperature increase or decrease?
If you hold a piece of metal in your hand and rub it back and forth on emery paper or sandpaper, the temperature of the metal is expected to change. There would be an increase in the temperature
The temperature of a piece of metal, when you rub it back and forth on emery paper or sandpaper, will change in this scenario. The temperature will increase due to the friction between the metal and the abrasive surface of the emery paper or sandpaper, which generates heat. This heat transfer causes the metal's temperature to rise. Therefore there's an increase in temperature.
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Is it possible for the fastest climbers to not produce the most power? Explain why or why not.
Three 1.50-kΩ resistors can be connected together in four different ways, making combinations of series and/or parallel circuits
What are these four ways?
The four ways to connect the three 1.50-kΩ resistors are:All in series ,Two in series,One in s.eries, All in parallel.
The four possible ways to connect three 1.50-kΩ resistors are:
All in series: In this configuration, the resistors are connected end-to-end, with the first resistor connected to the power source, the second resistor connected to the first resistor, and the third resistor connected to the second resistor and to the ground. The total resistance of the circuit is R = 1.50 kΩ + 1.50 kΩ + 1.50 kΩ = 4.50 kΩ.Two in series, one in parallel: In this configuration, two resistors are connected end-to-end in series, and this combination is connected in parallel with the third resistor. The total resistance of the circuit is R = (1.50 kΩ + 1.50 kΩ) // 1.50 kΩ = 1.00 kΩ.One in series, two in parallel: In this configuration, one resistor is connected to the power source, and this is connected in series with the combination of two resistors connected in parallel. The total resistance of the circuit is R = 1.50 kΩ + (1.50 kΩ // 1.50 kΩ) = 2.25 kΩ.All in parallel: In this configuration, all three resistors are connected in parallel with each other. The total resistance of the circuit is R = 1 / (1/1.50 kΩ + 1/1.50 kΩ + 1/1.50 kΩ) = 0.50 kΩ.Learn more about kΩ resistors
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FILL IN THE BLANK. An electron is in a uniform electric field. With respect to the electric field direction, it experiences a force acting __________________.
An electron is in a uniform electric field. With respect to the electric field direction, it experiences a force acting opposite to the electric field direction.
The electric field is defined as the electric force per unit charge. The direction of the field is taken to be the direction of the force it would exert on a positive test charge. The electric field is radially outward from a positive charge and radially in toward a negative point charge.
This occurs because electrons carry a negative charge, and the electric field direction is defined as the direction a positive charge would move. Since the electron is negatively charged, it experiences a force in the opposite direction of the electric field.
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For point particle rotation, when particle is initially moving, angular momentum can be expressed as
For point particle rotation, when the particle is initially moving, the angular momentum can be expressed as the product of the particle's moment of inertia and its angular velocity.
For point particle rotation, when the particle is initially moving, the angular momentum can be expressed as the product of the particle's moment of inertia, which is a measure of its resistance to rotation, and its angular velocity, which is the rate at which it is rotating around a fixed axis.
Mathematically, this can be written as L = Iω, where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.
The conservation of angular momentum is a fundamental principle in physics, which states that in the absence of external torques, the total angular momentum of a system remains constant.
For a point particle initially moving, the angular momentum can be expressed as:
Angular Momentum (L) = r × p
Where:
- L is the angular momentum of the point particle,
- r is the position vector of the particle relative to the rotation axis,
- p is the linear momentum of the particle (which can be expressed as p = mv, where m is the mass of the particle and v is its velocity),
- × denotes the cross product.
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based on your calculations for the final and initial kinetic energies what type of collision is this? elastic head-on collision inelastic hit and run perfectly inelastic
Based on my calculations for the final and initial kinetic energies, this is an inelastic head-on collision. In an inelastic collision, some of the kinetic energy is lost as the objects collide and stick together.
A head-on collision means the two objects collided directly into each other. Based on the given terms, it seems that the collision you are referring to is an "inelastic head-on collision." In such a collision, the kinetic energies are not conserved, and some of the initial kinetic energy is transformed into other forms of energy, such as heat or deformation. This differs from an elastic collision, where the total kinetic energy is conserved, and a perfectly inelastic collision, where the objects stick together and move as one after the collision.If the final kinetic energy cannot be determined, then we cannot determine the type of collision.
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jack and jill are playing with a tire swing tied to a tree branch. jack is standing on one side of theswing and jill is standing on the other. jack pulls back on the swing and lets it go. the swinggoes across to jill, back to jack, across to jill again, and back to jack one last time where hecatches it. how many compete oscillations did the tire swing make?
The tire swing performed a total of 8 oscillations since it made four round journeys between Jack and Jill.
What is oscillation?A repeating, back-and-forth motion around an equilibrium point is referred to as an oscillation. The three parameters of an oscillation are its amplitude, frequency, and period. The oscillating object's greatest displacement is its amplitude.
The tire swing would complete one oscillation if it moved from Jack to Jill and returned to Jack. The tire swing would complete another oscillation if it moved from Jill to Jack and returned to Jill. Therefore, the tire swing completed two oscillations during each round trip between Jack and Jill.
The tire swing performed a total of 8 oscillations (4 round trips x 2 oscillations each round trip) since it made four round journeys between Jack and Jill (Jack to Jill and back, etc.).
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What type of lens is found in human eye? In a magnifying glass?
The human eye, which allows for greater magnification of small objects.
The lens found in the human eye is a convex lens, meaning it curves outward on both sides. This lens is responsible for refracting (bending) light as it enters the eye, and is able to change shape to allow for focusing on objects at different distances.
In a magnifying glass, the lens is also typically convex. This type of lens can converge (focus) parallel rays of light to a point, which can make objects appear larger and clearer when viewed through the lens. Magnifying glasses typically have a much stronger curvature than the lens in the human eye, which allows for greater magnification of small objects.
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a uniform cylinder of radius r mass m and length l rotates freely about a horizontal axis parallel and tangent to the cylinder. the moment of inertia of the cylinder about this axis is
The moment of inertia of a uniform cylinder of radius r and mass m about an axis parallel and tangent to the cylinder can be calculated as I = (1/2)mr^2, where m is the mass of the cylinder and r is the radius. This moment of inertia represents the resistance of the cylinder to changes in its rotational motion.
When the cylinder rotates freely about this horizontal axis, it will experience a torque due to gravity acting on its center of mass. This torque will cause the cylinder to rotate at a constant angular velocity.
The tangent axis is chosen because it is perpendicular to the force of gravity acting on the cylinder, and therefore the torque due to gravity can be easily calculated. The torque due to gravity is given by the equation T = mgd, where m is the mass of the cylinder, g is the acceleration due to gravity, and d is the distance between the center of mass of the cylinder and the tangent axis.
The moment of inertia of the cylinder about the tangent axis determines how much rotational energy is stored in the cylinder as it rotates. This energy is proportional to the square of the angular velocity of the cylinder.
In summary, the moment of inertia of a uniform cylinder rotating freely about a horizontal axis parallel and tangent to the cylinder is determined by the mass and radius of the cylinder. The choice of the tangent axis is important because it allows for easy calculation of the torque due to gravity, which causes the cylinder to rotate at a constant angular velocity. The moment of inertia determines how much rotational energy is stored in the cylinder as it rotates.
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What happens when the less massive cart is moving much faster than the more massive cart? Much slower? At an intermediate speed?
The exact outcome of the collision will depend on the specific values of the masses and velocities of the carts, as well as the nature of the collision.
Assuming that the two carts are identical in every other aspect (e.g., friction, air resistance, etc.), the following would happen in each scenario:
Less massive cart is moving much faster than the more massive cart:
In this scenario, the less massive cart will exert a larger force on the more massive cart when they collide, due to its higher velocity. As a result, the more massive cart will experience a larger acceleration and move in the direction of the less massive cart. The less massive cart will also experience some deceleration due to the collision.
Less massive cart is moving much slower than the more massive cart:
In this scenario, the less massive cart will exert a smaller force on the more massive cart when they collide, due to its lower velocity. As a result, the more massive cart will experience a smaller acceleration and may not move much, while the less massive cart will experience a large deceleration due to the collision.
Less massive cart is moving at an intermediate speed compared to the more massive cart:
In this scenario, the two carts will experience an elastic collision if they are perfectly elastic or an inelastic collision if they are not. In an elastic collision, the carts will rebound from each other with the same relative speed they had before the collision. In an inelastic collision, the two carts will stick together and move off with a common velocity. The exact outcome of the collision will depend on the specific values of the masses and velocities of the carts, as well as the nature of the collision.
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A mass m has speed v. It then collides with a stationary object of mass 2m. If both objects stick together in a perfectly inelastic collision, what is the final speed of the newly formed object?
The final velocity of the combined object is v/3.
In an inelastic collision, the two objects stick together and move as a single object after the collision. In this case, we have a mass m moving with velocity v colliding with a stationary object of mass 2m.
Conservation of momentum states that the total momentum of the system before the collision is equal to the total momentum after the collision. That is:
m * v + 0 = (m + 2m) * vf
Where vf is the final velocity of the combined object.
Simplifying this equation, we get:
m * v = 3m * vf
Dividing both sides by 3m, we get:
v/3 = vf
Therefore, the final velocity of the combined object is v/3.
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An AC motor is started and produces 25 horsepower when running at rated speed and load. Neglecting power factor considerations, how much will the kW meter reading increase for the sole generator providing power?A) 18.65 kWB) 25.65 kWC) 30.65 kWD) 37.65 kW
The sole generator providing power needs to supply to the motor to keep it running at rated speed and load.
Power is defined as the rate at which work is done, or energy is transferred. In the case of an AC motor, the power output is measured in horsepower (hp). To determine the power output in kilowatts (kW), we need to convert from horsepower using the conversion factor of 0.746 kW/hp.
25 horsepower x 0.746 kW/hp = 18.65 kW
Therefore, the power output of the motor is 18.65 kW. This is the amount of power that the sole generator providing power needs to supply to the motor to keep it running at rated speed and load.
So, the answer is option A) 18.65 kW.
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13. Why does the focal length of a mirror not depend on the mirror material when the focal length of a lens does depend on the lens material?
The focal length of a mirror does not depend on the mirror material, while the focal length of a lens does depend on the lens material. This is because mirrors rely on reflection to form an image, which does not involve refraction, while lenses rely on refraction to form an image.
The curvature of a mirror determines its focal length, and this curvature is independent of the material of the mirror. In contrast, the refractive index of a lens material affects the degree to which light is bent when passing through the lens, which in turn affects the focal length.
Lenses made of materials with higher refractive indices have shorter focal lengths, while lenses made of materials with lower refractive indices have longer focal lengths. Therefore, the focal length of a lens depends on the material used, while the focal length of a mirror does not.
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in modern ft spectroscopic techniques, the em radiation data collected immediately after it passes through the sample is in what form before it is mathematically worked up and interpreted?
In modern Fourier Transform (FT) spectroscopic techniques, after the electromagnetic (EM) radiation passes through the sample, the data collected is in the form of an "interferogram" before it is mathematically processed and interpreted.
The interferogram is then transformed using a mathematical algorithm called the Fourier Transform, which converts the data into a more understandable and interpretable format, typically a spectrum of intensity versus frequency or wavelength.
The term "Fourier transform infrared" (FTIR) refers to the most popular kind of infrared spectroscopy. All infrared spectroscopies operate under the premise that some IR energy is absorbed when it passes through a material. It is noted which radiation enters the sample.
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in a nuclear reaction, what value is conserved in addition to electric charge, energy, and momentum?
Nuclear baryon number (mass number) is conserved in addition to electric charge, energy, and momentum in a nuclear reaction.
In a nuclear reaction, electric charge, energy, and momentum are conserved, as in any other type of reaction. However, in addition to these conservation laws, the nuclear baryon number, also known as the mass number, is conserved. The baryon number is the number of nucleons (protons and neutrons) in the nucleus.
Since nuclear reactions involve the rearrangement of nucleons, it is important that the total number of nucleons before and after the reaction remains the same.
This is because nucleons are fundamental particles that cannot be created or destroyed.
Therefore, the conservation of baryon number ensures that the total number of nucleons in a nuclear reaction is always the same before and after the reaction.
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Describe how slats are formed and examples of slats and their uses
Slats are typically made from wood, plastic or metal and are thin, flat pieces that are used for a variety of applications, such as in furniture, window blinds, and fencing. The slats are created by using a machine to cut thin sheets of material into long, narrow strips. Example : window blinds.
The process of creating slats is typically done using a saw, which is adjusted to cut the sheets of material into the desired thickness.
One common example of slats is in window blinds. These slats are typically made from wood or plastic and are used to control the amount of light that enters a room. By tilting the slats, the amount of light can be adjusted to suit the needs of the occupants. Another example of slats is in fencing. Wooden slats can be used to create a privacy fence, or metal slats can be used for decorative purposes.
In furniture, slats are often used to support a mattress in a bed frame or to create the backrest of a chair. By using slats instead of a solid piece of material, the weight and cost of the piece of furniture can be reduced while still providing the necessary support.
Overall, slats are a versatile and practical material that are used in a variety of applications to provide support, control light, and add visual interest.
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Object
Soccer Ball
Tennis Ball
Marble
Ping Pong Ball
Mass (Kg)
0.45Kg
0.055Kg
0.015Kg
0.020Kg
Acceleration
(m/s2)
5 m/s²
100 m/s²
1000 m/s²
10 m/s²
5. The data above is collected on four different types of objects-
The mass and the acceleration of each type of object are
recorded in the table.
Which object has the greatest applied force?
A. Soccer Ball
C. Marble
B. Tennis Ball
D. Ping Pong Ball
Answer:We can use Newton's second law of motion, which states that the force acting on an object is equal to its mass multiplied by its acceleration (F = ma).
To determine which object has the greatest applied force, we need to calculate the force acting on each object using the given mass and acceleration values.
For the soccer ball:
F = ma = (0.45 kg)(5 m/s²) = 2.25 N
For the tennis ball:
F = ma = (0.055 kg)(100 m/s²) = 5.5 N
For the marble:
F = ma = (0.015 kg)(1000 m/s²) = 15 N
For the ping pong ball:
F = ma = (0.020 kg)(10 m/s²) = 0.20 N
Therefore, the object with the greatest applied force is the marble, with a force of 15 N.
Explanation:
Difference between throwing something in a horzional diection and dropping an object.
Throwing something in a horizontal direction involves giving an initial velocity to an object in a specific direction.
This means that the object will continue to move in that direction until some external force acts upon it. On the other hand, dropping an object simply involves releasing it from a certain height above the ground, without giving it any initial velocity in a specific direction.
This means that the object will simply fall straight down due to gravity until it hits the ground or some other surface.
Therefore, the main difference between throwing something in a horizontal direction and dropping an object is the presence or absence of an initial velocity in a specific direction.
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the tip of a flashlight bulb is touching the top of the 3 v battery in figure q28.2. does the bulb light? why or why not?
No, the bulb would not light up. This is because a flashlight bulb needs a complete circuit to light up, which means that there needs to be a flow of electric current through the bulb.
In the given scenario, the tip of the bulb is touching only the top of the 3 V battery, which means that there is no complete circuit. In order for the bulb to light up, the bulb's base needs to be connected to the negative terminal of the battery, and the positive terminal of the battery needs to be connected to the switch.
When the switch is turned on, the circuit will be complete, and the current will flow from the positive terminal of the battery to the switch, then through the bulb, and back to the negative terminal of the battery, thereby lighting up the bulb.
In summary, the tip of a flashlight bulb touching the top of a 3 V battery would not light up the bulb because it does not create a complete circuit. The bulb's base needs to be connected to the negative terminal of the battery, and the positive terminal of the battery needs to be connected to the switch in order to complete the circuit and allow the bulb to light up.
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a sprinter runs against a headwind, meaning she is running in direct opposition to the direction of the atmospheric wind. the sprinter's velocity is 9.4 m/s north. the wind velocity is 4.2 m/s south. what is the relative velocity of fluid (air) in relation to the sprinter?
A sprinter runs against a headwind, meaning she is running in direct opposition to the direction of the atmospheric wind. the sprinter's velocity is 9.4 m/s north. the wind velocity is 4.2 m/s south. The relative velocity of the fluid in relation to the sprinter is 13.6 m/s.
The relative velocity of the fluid (air) in relation to the sprinter can be calculated by subtracting the velocity of the wind from the velocity of the sprinter. Since the sprinter is running in the opposite direction to the wind, the wind velocity should be treated as negative:
Relative velocity = Sprinter velocity - Wind velocity
Relative velocity = 9.4 m/s north - (-4.2 m/s south)
Relative velocity = 9.4 m/s north + 4.2 m/s south
To add these velocities, we need to convert them to a common direction. We can do this by using the fact that the north and south are opposite directions. So, we can subtract the velocity of the wind from the velocity of the sprinter and take the direction of the faster velocity, which is north. Therefore, the relative velocity is:
Relative velocity = 9.4 m/s + 4.2 m/s
Relative velocity = 13.6 m/s
So, the relative velocity of the fluid (air) in relation to the sprinter is 13.6 m/s in a northerly direction.
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a light beam has a wavelength of 380 nm in a material of refractive index 1.50.part ain a material of refractive index 3.00, its wavelength will be
The wavelength of the light beam in a material of refractive index 3.00 is 126.7 nm.
How to find the wavelength of the light beam?The relationship between the wavelength of light in a vacuum (λ₀), the wavelength of light in a material (λ), and the refractive index of the material (n) is given by the formula:
n = λ₀ / λ
Rearranging this equation, we can solve for the wavelength of light in the new material:
λ = λ₀ / n
In this case, the initial wavelength of the light beam in a material of refractive index 1.50 is λ = 380 nm. To find the wavelength of the same light beam in a material of refractive index 3.00, we can use the above equation:
λ = λ₀ / n
λ = (380 nm) / (3.00)
λ = 126.7 nm
Therefore, the wavelength of the light beam in a material of refractive index 3.00 is 126.7 nm.
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Equal wavelength waves of amplitude 0.25 m and 0.15 m interfere with one another. What is the resulting minimum amplitude that can result? a. 0.15 m b. 0.10 m c. 0 m d. -0.40 m e. 0.40 m
Equal wavelength waves of amplitude 0.25 m and 0.15 m interfere with one another resulting in a minimum amplitude of 0 m. So, the correct answer is option d.
The principle of superposition of waves, which states that when two waves of the same frequency and amplitude interact with one another, their amplitudes are combined together, is the reason behind occurrence.
This indicates that the combined amplitude of the two waves will result in a wave whose amplitude is equal to the total of the two waves.
In the example provided, 0.25 m + 0.15 m = 0.40 m, which is more than the minimum amplitude. As a result, the lowest possible amplitude is 0 m.
Complete Question:
Equal wavelength waves of amplitude 0.25 m and 0.15 m interfere with one another. What is the resulting minimum amplitude that can result?
a. 0.15 m
b. 0.10 m
c. 0 m
d. -0.40 m
e. 0.40 m
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Are electrostatic precipitators effective for removing pollutants such as sulfur and mercury from exhaust gases?a.yes, completely b. yes, in conjunction with a dry scrubber c. no, they are not useful not matter what since the charge is too small
Yes, in conjunction with a dry scrubber. Electrostatic precipitators are effective for removing some pollutants from exhaust gases, but to effectively remove sulfur and mercury, they should be used in conjunction with a dry scrubber for optimal results. The correct option is (B).
Yes, in conjunction with a dry scrubber Option B. Electrostatic precipitators can effectively remove pollutants such as sulfur and mercury from exhaust gases, but they work best when used in combination with other pollution control technologies like dry scrubbers. The electrostatic precipitator uses an electrical charge to trap pollutants in the air and collect them on metal plates, but some pollutants may still escape. The dry scrubber can then remove any remaining pollutants.
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Based on your prediction and your observations, what mathematical definition might you use to describe the momentum you would need to stop an oncoming vehicle traveling with a known mass and velocity? Should it depend on the mass, the velocity or both? Explain your choice.
momentum is mass times velocity, hence it depends on both mass and velocity. in order to stop an object with known mass and velocity, we can find applied force if we know the time taken by body to change the velocity from v to 0.
Momentum is defined as mass times velocity. it tells about the moment of the body. it is denoted by p and expressed in kg.m/s. mathematically it is written as p = mv. A body having zero velocity or zero mass has zero momentum. its dimensions is [M¹ L¹ T⁻¹]. Momentum is conserved throughout the motion.
According to conservation law of momentum initial momentum is equal to final momentum.
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1. What force is necessary to stretch an ideal spring with a spring constant of 125 N/m by
35 cm?
2. A spring with a spring constant of 650. N/m is used for a scale to weigh fish. What is the mass of a fish that would stretch the spring by 7.55 cm from its normal length?
3. A spring in a pogo-stick is compressed 16cm when a 43kg girl stands on it. What is the spring constant for the pogo-stick spring?
4. A spring is connected to a wall and a horizontal force of 80.0 N is applied. It stretches 28cm, what is its spring constant?
5. A spring stretches 8.0 cm when a 16 N force is applied. How far does it stretch when a 23 N is applied?
6. A 7.3 kg mass is placed on a spring with a spring constant of 36 N/cm. How much does this stretch the spring?
7. An elastic cord is 80cm long when it is supporting a mass of 15. kg hanging from it at rest. When an additional 5.0 kg is added, the cord is 82.5 cm long. What is the spring
constant?
8. What is the original length of the cord (with no mass) in question 7?
9. A spring with a spring constant of 50. N/m is hanging from a stand. A second spring with a spring constant of 100. N/m is hanging from the first spring. How far do they stretch if a 0.58 kg is hung from the bottom spring?
10. What is the spring constant of the system of springs in question 9?
please help , your help will be highly appreciated:)
A perfect spring with a spring constant of 125 N/m requires 437.5 N to extend it by 35 cm.
How much is the spring constant?The force that insists on extending or compressing a spring, divided by the area where the spring lengthens or shortens, is the spring constant.
What, using an example, is spring force?A metal spring is moved from its equilibrium position when it is stretched or compressed. As a result, it encounters a restoring Force that usually causes the spring to retract back to its initial position. The spring force is the name of the force. It is a force of contact that exists in elastic materials.
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Iced tea is made by adding ice to 1.8 kg of hot tea, initially at 80°C. How many kg of ice, initially at 0°C, are required to bring the mixture to 10°C? (Lf = 3.33 x 105 J/kg, cw = 4 186 J/kg·°C)
a. 1.8 kg
b. 1.6 kg
c. 1.4 kg
d. 1.2 kg
We need to add 1.6 kg of ice, initially at 0°C, to bring the mixture of hot tea and ice to 10°C. The answer is b. 1.6 kg.
We can use the formula Q = m * Lf to solve this problem, where Q is the heat required to melt the ice, m is the mass of ice, and Lf is the latent heat of fusion for water (3.33 x 10^5 J/kg).
First, let's calculate the heat lost by the hot tea as it cools down from 80°C to 10°C. We can use the formula Q = m * cw * ΔT, where cw is the specific heat capacity of water (4 186 J/kg·°C), and ΔT is the change in temperature.
Q = 1.8 kg * 4 186 J/kg·°C * (80°C - 10°C)
Q = 532 728 J
This means that the hot tea will release 532 728 J of heat as it cools down.
To bring the mixture to 10°C, we need to add ice that will absorb this amount of heat. Let's call the mass of ice we need to add "m".
Q = m * Lf
532 728 J = m * 3.33 x 10^5 J/kg
m = 1.6 kg
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