When an average force F is exerted over a certain distance on a shopping cart of mass m, its kinetic energy increases by mv 2 (a) Use the workenergy theorem to show that the distance over which the force acts is mv 2 2F (b) If twice the force is exerted over twice the distance, how does the resulting increase in kinetic energy compare with the original increase in kinetic energy

Question: When an average force F is exerted over a certain distance on a shopping cart of mass m, its kinetic energy increases by mv 2

When an average force F is exerted over a certain distance on a shopping cart of mass m, its kinetic energy increases by ½mv².
(a) Use the work–energy theorem to show that the distance over which the force acts is mv²/2F.
(b) If twice the force is exerted over twice the distance, how does the resulting increase in kinetic energy compare with the original increase in kinetic energy?

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