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A block accelerates from rest until it reaches a maximum speed, and then stops accelerating. Which of the following statements about the net work done on the block are correct? Assume frictional forces are negligible. A) The net work on the block is non-zero the entire time. B Non-zero net work is being done on the block only when it is accelerating. (C) Non-zero net work is being done on the block only when it is moving with constant speed. (D) Non-zero net work could be done on the block either when it is accelerating or when it is moving with constant speed, depending on the values of the block's mass, acceleration, and maximum speed.

Ask by Tran Bird. in the United States
Feb 28,2025

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Answer

Non-zero net work is done on the block only when it is accelerating.

Solution

The net work done on an object is equal to the change in its kinetic energy (Work-Energy Theorem). While the block is accelerating, its kinetic energy is changing, so non-zero net work is done on the block. However, once the block reaches a constant speed, its kinetic energy remains constant, and therefore the net work becomes zero (since friction is negligible and no additional energy is being added or removed). Thus, the only correct statement is: B) Non-zero net work is being done on the block only when it is accelerating.

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When a block accelerates from rest, the net work done on it is actually non-zero during the acceleration phase. This is because work is calculated based on the force applied and the distance over which it acts. Once the block reaches maximum speed and stops accelerating, the net work done becomes zero because no net force is acting to change its state of motion, even though it's still moving at a constant speed. Therefore, the correct statements would be: A) The net work on the block is non-zero the entire time – **False**. B) Non-zero net work is being done on the block only when it is accelerating – **True**. C) Non-zero net work is being done on the block only when it is moving with constant speed – **False**. D) Non-zero net work could be done on the block either when it is accelerating or when it is moving with constant speed, depending on the values of the block's mass, acceleration, and maximum speed – **False**. So, only statement B is correct!

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