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Two balls of equal masses undergo a head-on collision with speeds 6 m/s moving in opposite direction. If the coefficient of restitution is $\frac{1}{3}$ , find the speed of each ball after impact in m/s.

Important Questions on Centre of Mass, Momentum and Collisions

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Beta Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>BEGINNER'S BOX - 3>Q 9

A body of mass

1 kg

moving with velocity

1 m s^{- 1}

makes an elastic one-dimensional collision with an identical stationary body. They are in contact for a brief period

1 s

. Their force of interaction increases from zero to

F_{0}

linearly in

0.5 s

and decreases linearly to zero in a further

0.5 s

as shown in the figure. Find the magnitude of force

F_{0}

in newtons:
Question Image

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Beta Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>BEGINNER'S BOX - 3>Q 10

A particle of mass

2 kg

moving with a velocity

5 \hat{i} m s^{- 1}

collides head-on with another particle of mass

3 kg

moving with a velocity

- 2 \hat{i} m s^{- 1}

. After the collision, the first particle has speed of

1.6 m s^{- 1}

in negative

x -

direction. Find the:
(a) velocity of the centre of mass after the collision.
(b) velocity of the second particle after the collision.
(c) coefficient of restitution.

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Beta Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise (Conceptual Questions)>Q 1

Gravels are dropped on a conveyor belt at the rate of

0.5 kg / \sec

. The extra force required in newton to keep the belt moving at

2 m / \sec

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Beta Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise (Conceptual Questions)>Q 2

A ball weighing

10 g

hits a hard surface vertically with a speed of

5 m s^{- 1}

and rebounds with the same speed. The ball remains in contact with the surface for

0.01 s

. The average force exerted by the surface on ball is,

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Beta Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise (Conceptual Questions)>Q 3

If a force

F =500-100 t,

then impulse as a function of time will be:-

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Beta Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise (Conceptual Questions)>Q 4

If the force on a rocket moving in force-free space with an exhaust velocity of gases

300 m s^{- 1}

210 N

, then the rate of combustion of the fuel is:-

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Beta Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise (Conceptual Questions)>Q 5

A rocket of mass

120 kg

is fired in a gravity-free space is ejecting gases with a velocity

600 m s^{- 1}

at the rate of

1 kg s^{- 1}

. What will be the initial acceleration of the rocket?

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Beta Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise (Conceptual Questions)>Q 6

A person of mass

m

is standing on one end of a plank of mass

M

and length

L

and floating in water. The person moves from one end to another and stops. The displacement of the plank is -

Two balls of equal masses undergo a head-on collision with speeds 6 m/s moving in opposite direction. If the coefficient of restitution is 13, find the speed of each ball after impact in m/s.

Important Questions on Centre of Mass, Momentum and Collisions

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Two balls of equal masses undergo a head-on collision with speeds 6 m/s moving in opposite direction. If the coefficient of restitution is $\frac{1}{3}$ , find the speed of each ball after impact in m/s.