A box is raised at constant speed by a man pulling up on a rope. Assume that air resistance on the box is negligible. During the ascent, which of these statements are true? The work performed by all conservative forces on the box is 0. The work performed by all non‑conservative forces on the box is 0. The net work performed on the box is 0. The work performed by all conservative forces on the box is positive. The work perfomed by all non‑conservative forces on the box is positive. Use the work‑energy theorem to determine which one of these statements is true during the ascent. The change in the total energy of the box is 0. The change in the total energy of the box is positive. The change in the total energy of the box is negative. The rope breaks and the box falls to the ground. Assume that air resistance on the box is negligible. During the fall, which of these statements are true? The work performed by all conservative forces on the box is 0. The work performed by all non‑conservative forces on the box is 0. The net work performed on the box is 0. The work performed by all conservative forces on the box is positive. The work performed by all non‑conservative forces on the box is positive. Use the work‑energy theorem to determine which one of these statements is true during the fall. The change in the total energy of the box is 0. The change in the total energy of the box is positive. The change in the total energy of the box is negative.

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Answer:

Following statements will be true in the cases mentioned -

Case 1 when the box is raised at constant speed -

  • The work done by all non-conservative forces on the box is will be zero.
  • There will be positive work done by all conservative forces acting on the box.
  • There will be a positive change in the total energy of the box.

Case 2 when the box is in free fall -

  • The work done by all non‑conservative forces on the box will be 0.
  • There will be a negative change in the total energy of the box.

There are conservative forces and non - conservative force. Example of conservative forces are potential energy and kinetic energy. Friction is one of the examples of non - conservative forces.

If a box is raised at constant speed by a man pulling up on a rope by assuming that air resistance on the box is negligible. During the ascent, the statements that are true are:

The net work performed on the box is 0. and The work performed by all non‑conservative forces on the box is positive.

Using the work‑energy theorem to determine which one of these statements is true during the ascent.

work - energy theorem state that the total work done by all the combined forces done on an object is equal to the change in the kinetic energy of the object. The correct option is

The change in the total energy of the box is negative.

when the rope break and the box falls to the ground. Assume that air resistance on the box is negligible. During the fall, the statements that are true are:

The work performed by all non‑conservative forces on the box is 0. and The work performed by all conservative forces on the box is positive.

If we use the work‑energy theorem to determine which one of these statements is true during the fall. Since the change will be converted to kinetic energy, therefore, the correct answer is :

The change in the total energy of the box is positive.

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