Two identical balls with identical momenta are brought to rest

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Linear Momentum · Linear Momentum

Problem

Two identical balls with identical momenta are brought to rest. Ball X is stopped in

0.02\,\text{s}

while ball Y is stopped in

0.04\,\text{s}

. Let

F_X

and

F_Y

be the magnitudes of the average stopping forces on balls X and Y respectively. Which statement is correct? (a)

F_X = F_Y

(b)

F_X = \dfrac{1}{2} F_Y

(c)

F_X = 2F_Y

(d)

F_X = 4F_Y