An initially stationary box on a frictionless floor explodes into two pieces, piece `A` with mass `m_(A)` and piece `B` with mass `m_(B)`. Two pieces then move across the floor along `x`-axis. Graph of position versus time for the two pieces are given

Which graphs pertain to physically possible explosion?

Options

A. II, V
B. VI
C. I, III
D. IV

Answer

A, D

Explanation

By COLM `0 = m_(A) v_(A) + m_(B) v_(B), vec(v)_(B) = -(m_(A))/(m_(B)) vec(v)_(A)`
Both velocity are opposite in direction `:.` II, IV, V