A body A of mass M while falling vertically downwards under gravity brakes into two parts, a body B of mass `(1)/(3)` M and a body C of mass `(2)/(3)` M. The center of mass of bodies B and C taken together shifts compared to that of body A towards

Options

A. depends on the height of breaking
B. does not shift
C. body C
D. body B

Answer

B

Explanation

Initially, `a_(cm)=g`, vertically downwards After breaking of body A
`F_(ext)=0,` So, `a_(cm)=0`
Since, `v_(cm)=` Constant `impliesDeltay_(cm)=0`
`:.` Centre of mass of the bodies B and C does not shift.