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Two balls of same mass are dropped from the same height $h$ , on to the floor. The first ball bounces to a height $\frac{h}{4}$ , after the collision and the second ball to a height $\frac{h}{16}$ . The impulse applied by the first and second ball on the floor are $I_{1}$ and $I_{2}$ respectively. Then:-

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Important Questions on Centre of Mass, Momentum and Collisions

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Beta Question Bank for Engineering: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 17

A shell is fired from a cannon with a velocity

V

at an angle

θ

with the horizontal direction. At the highest point in its path, it explodes into two pieces of equal masses. One of the pieces retraces its path to the cannon. The speed of the other piece immediately after the explosion is

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Beta Question Bank for Engineering: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 18

A ball hits a floor and rebounds after an inelastic collision. In this case:

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Beta Question Bank for Engineering: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 19

Three balls $A, B$ and $C (m_{A} = m_{C} = 4 m_{B})$ are placed on a smooth horizontal surface. Ball $B$ collides with ball $C$ with an initial velocity $v$ as shown in the figure. Total number of collisions between the balls with be (All collisions are elastic):-

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Beta Question Bank for Engineering: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 20

A body of mass

1 kg

strikes elastically with another body at rest and continues to move in the same direction with one fourth of the initial velocity. The mass of the other body is:-

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Beta Question Bank for Engineering: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 21

A small bucket of mass

M kg

is attached to a long inextensible cord of length

L m

. the bucket is released from rest when the cord is in a horizontal position. At its lowest position, the bucket scoops up

m kg

of water and swings up to a height

h

. The height

h

in meters is:-

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Beta Question Bank for Engineering: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 22

A particle moving horizontally collides with a fixed plane inclined at

60 °

to the horizontal. If it bounces vertically, the coefficient of restitution is

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Beta Question Bank for Engineering: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 23

A ball of mass

2 m

impinges directly on a ball of mass

m

, which is at rest. If the velocity with which the larger ball impinges be equal to the velocity of the smaller mass after impact then the coefficient of restitution:-

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Beta Question Bank for Engineering: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 24

A body of mass

2 kg

is projected upward from the surface of the ground at

t = 0

with a velocity of

20 m s^{- 1}

. One second later a body

B

, also of mass

2 kg

, is dropped from a height of

20 m

. If they collide elastically, then velocities just after collision are:-

Two balls of same mass are dropped from the same height h, on to the floor. The first ball bounces to a height h4, after the collision and the second ball to a height h16. The impulse applied by the first and second ball on the floor are I1 and I2 respectively. Then:-

Important Questions on Centre of Mass, Momentum and Collisions

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