Because the change of the momentum is equal to thenet impulse, the relationship

Question

Because the change of the momentum is equal to thenet impulse, the relationship of momentum itself to the netforce is somewhat indirect, as can be seen in this question. Anobject is initially moving in the + x direction with magnitudeof momentum p , with a net force of magnitude F acting onthe object in either the + x or x direction. After a very shorttime, say whether the magnitude of the momentum increases,decreases, or stays the same in each of the following situations:

(a) The net force acts in the + x direction and F is constant.

(b) The net force acts in the + x direction and F is increasing.

(c) The net force acts in the + x direction and F is decreasing.

(d) The net force acts in the x direction and F is constant.

(e) The net force acts in the x direction and F is increasing.

(f) The net force acts in the x direction and F is decreasing.

Explanation / Answer

Force F= change in momentum / t

F = dP/dt = P2 - P1/dt

Part a

as force is constant and in + x direction so magnitude of momentum remain same but direction changes

Part B

As net force increases so magnitude of momentum increasing

Part C

as net force is decreasing so magnitude of momentum decreasing

Part D

Now net force acts in - x direction so initial and final momentum both are in same direction.

as force is constant so magnitude is same

Part E

As force is increasing so here magnitude of momentum decreases

Part F

As force is decreasing so magnitude of momentum increases

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