Two billiard balls A and B, each of mass 50g and moving in opposite directions with speed of 5 `ms^(1)` each, collide and rebound with the same speed. If the collision lasts for `10^(-3)` s, which of the following statements are true ?

Options

A. The impulse imparted to each ball is 0.25 kg - `m s^(-1)` and the force on each ball is 250 N
B. The impulse imparted to each ball is 0.25 kg - `m s^(-1)` and the force exerted on each ball is `25 xx 10^(-5)` N
C. The impulse imparted to each ball is 0.5 N - s
D. The impulse and the force on each ball are equal in m agnitude and opposite in directions.

Answer

C, D

Explanation

Here `m_(1) = m_(2) 50 (g ) = (50)/( 1000) kg = (1)/(20) kg`
Final velocity (u ) = `u_(1) = u_(2) = (5 m)/( s )`
Time duration of collision `=10^(3)`
Change in linear momentum = m(v -u)
`=(1)/(20) [-5 -5] =- 0.5 Ns`
force `= (" mpulse ")/("Time ") = ("Change ")/( 10^(-3)` N
`=(0.5)/( 10^(-3)) = 500N`
Impulse and force are opposite in direction