Question Detail

PHY 101 Last Min Prep Objective Question

Question

A large mass explodes into two smaller masses. Mass m moves to the right at speed v. Mass M moves to the left at speed V. Calculate the speed V of mass M.
Options
A mv/(M+m)
B Mv/(M+m)
C mv/M
Correct Answer
D M/m
Correct Answer

Option C is the correct answer.

Detailed Explanation

By conservation of momentum, initial momentum = 0 (assuming large mass was at rest). So 0 = mv - MV (taking right as positive). Therefore MV = mv, so V = mv/M.

Hint

Use conservation of momentum. Initial momentum = 0.

Question Info