Question

modifying momentum
a large force is applied to an object
over a long period of time.

what is true about the
momentum of the object?

there will be a small change in the momentum of the object.

the momentum of the object will not change.

there will be a large change in the momentum of the object.

Explanation:

The impulse - momentum theorem states that the impulse applied to an object is equal to the change in its momentum, and impulse is defined as the product of force and the time over which the force is applied ($J = F\times\Delta t=\Delta p$). If a large force ($F$) is applied over a long period of time ($\Delta t$), the impulse ($J$) will be large. Since impulse is equal to the change in momentum ($\Delta p$), a large impulse means a large change in momentum. The first option is incorrect because a large force over long time should lead to a large change, not a small one. The second option is incorrect as the momentum will change due to the applied force and time.

Answer:

There will be a large change in the momentum of the object.