1.

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 ?

Answer»

The impulse imparted to each ball is 0.25 kg - `m s^(-1)` and the FORCE on each ball is 250 N
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
The impulse imparted to each ball is 0.5 N - s
The impulse and the force on each ball are equal in m agnitude and opposite in directions.

Solution :Here`m_(1)= m_(2)50 (g )= (50)/( 1000)kg = (1)/(20) kg`
Finalvelocity(u ) = `u_(1)= u_(2) = (5 m)/( s )`
Timedurationof collision`=10^(3)`
Changein LINEARMOMENTUM= m(v -u)
`=(1)/(20)[-5 -5]=-0.5 Ns`
force `= (" mpulse ")/("TIME ")= ("Change ")/( 10^(-3)` N
`=(0.5)/( 10^(-3)) = 500N`
Impulseand forceare oppositein direction


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