Question

Describe the relation between work and changes in kinetic energy. Describe the conditions under which they are equal, and indicate what precautions have been taken to make sure the condition(s) have been met.

Answer 1

When you accelerate an object, you are doing work against inertia, such that the work equals the change in kinetic energy of the object.

Change in KE means you have accelerated the object.

When you accelerate an object, you are changing its velocity and thus its KE. By accelerating the object over a period of time, you are moving the object some distance, while changing its veleocity. Thus, you arwe doing work against inertia

you are doing work against inertia, such that the work equals the change in kinetic energy of the object.

When you are doing work against continuous resistive forces, such as gravity or spring tension, work done equals the change in potential energy of the object.

Work as change in kinetic energy

When you accelerate an object, you are changing its velocity.

When you accelerate an object, you are doing work against inertia plus any resistive forces