An object is moving in a straight line under the action of a...

Question

An object is moving in a straight line under the action of a constant force. In time , the object's speed increases from zero to and the work done by the force on the object is , while the impulse provided to the object is . In time , the object's speed increases from to , and the work done by the force on the object is , while the impulse provided to the object is . Which of the following statements is TRUE?

To determine which statement is true, let's carefully analyze the relationship between work, impulse, and velocity.

Work Done (W):

Work done on an object is related to the change in kinetic energy of the object:

First phase (from to ):

In the first phase, the object's velocity increases from zero to . The work done in this phase, , is:

Second phase (from to ):

In the second phase, the velocity increases from to . The work done in this phase, , is:

Thus,

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