Question

Which conditions will result in the smallest change in momentum? a. a large force over a long time period b. a large force over a short time period c. a small force over a long time period d. a small force over a short time period

Answer 1

D. a small force over a short time period

C is incorrect.

Answer 2

A small force over a long time period.

Step-by-step explanation:

The second law of motion gives the relationship between the external force and the change in momentum of the object. The rate of change of linear momentum is equal to the external force applied. It is given by :

`F=(\Delta p)/(\Delta t)`

`\Delta p=F* \Delta t`

It is clear that for the smallest change in momentum, a small force should be applied for a long period of time. Hence, the correct option is (c) "a small force over a long time period".