Physics Crash Course BITSAT>Chapter 5 - Center of Mass, Momentum and Collision>Exercise 1>Q 65

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Three particles $(A, B, C)$ each of mass m are connected by three massless rods of length $l$ . All three particles lie on smooth horizontal plane. A particle of mass $m$ moving along one of the rods with velocity $v_{0}$ strikes on a particle and stops. (as shown in diagram). Choose the correct options:

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Important Questions on Center of Mass, Momentum and Collision

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Physics Crash Course BITSAT>Chapter 5 - Center of Mass, Momentum and Collision>Exercise 1>Q 66

A particle of mass

m

is projected with a velocity

v_{0}

at an angle

α

with the horizontal. The coefficient of restitution for any of its impact with the smooth ground is

e

. The time after which the particle will stop bouncing off the ground is

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Physics Crash Course BITSAT>Chapter 5 - Center of Mass, Momentum and Collision>Exercise 1>Q 67

A light inelastic thread passes over a small frictionless pulley. Two blocks of masses

m = 1 k g

and

M = 3 k g

, respectively, are attached with the thread and heavy block rests on a surface. A particle

P

of mass

1 kg

moving upward with a velocity of

10 {m s}^{-1}

collides with the lighter block and sticks to it. The speed of the bigger block just after the string is taut will be [

g = 10 {m s}^{- 2}

]

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Physics Crash Course BITSAT>Chapter 5 - Center of Mass, Momentum and Collision>Exercise 1>Q 68

A massive ball moving with speed

v

collides head on with a tiny ball at rest having a mass very less than the mass of the first ball. If the collision is elastic, then immediately after the impact, the second ball will move with a speed approximately equal to