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Three men $A, B$ and $C$ of masses $40 kg, 50 kg$ and $60 kg$ are standing on a plank of mass $90 kg$ , which is kept on a smooth horizontal plane. If $A$ and $C$ exchange their positions then mass $B$ will shift

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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 - 2>Q 7

Consider a system having two masses $m_{1}$ and $m_{2}$ in which the first mass is pushed towards the centre of mass by a distance $a$ . The distance by which the second mass should be moved to keep the centre of mass at the same position is

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Beta Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>BEGINNER'S BOX - 2>Q 8

Two particles

A

and

B

initially at rest, move towards each other under a mutual force of attraction. At the instant when the speed of

A

v

and the speed of

B

2 v,

the speed of the centre of mass of the system is:-

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Beta Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>BEGINNER'S BOX - 2>Q 9

The figure shows the positions and velocities of the two particles. If the particles move under the mutual attraction of each other, then the position of centre of mass at $t = 1 s$ is

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Beta Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>BEGINNER'S BOX - 2>Q 10

An isolated particle of mass

m

is moving in a horizontal plane

(x - y)

, along the

x

-axis, at a certain height above the ground. It suddenly explodes into two fragments of masses

\frac{m}{4}

and

\frac{3 m}{4}

. An instant later, the smaller fragment is at

y = + 15 cm

. The larger fragment at this instant is at

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Beta Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>BEGINNER'S BOX - 2>Q 11

In which of the following cases, the centre of mass of a rod may be at its centre?
(1) The linear mass density decreases continuously from left to right.
(2) The linear mass density increases continuously from, left to right.
(3) The linear mass density decreases from left to right upto the centre and then increases.
(4) The linear mass density increases from left to right upto the centre and then decreases.

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Beta Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>BEGINNER'S BOX - 3>Q 1

A body of mass 2.0kg makes an elastic collision with another body at rest and continues to move in the original direction with a speed
equal to half of its original speed. Find the mass of the second body.

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Beta Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>BEGINNER'S BOX - 3>Q 2

A particle of mass

m

moving with a velocity

v

makes a head-on elastic collision with another particle of the same mass initially at rest. Find the velocity of the first particle after the collision.

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

A particle of mass

m

moving with velocity

v

strikes a stationary particle of mass

2 m

and sticks to it. Find the speed of the system.

Three men A, B and C of masses 40 kg, 50 kg and 60 kg are standing on a plank of mass 90 kg, which is kept on a smooth horizontal plane. If A and C exchange their positions then mass B will shift

Important Questions on Centre of Mass, Momentum and Collisions

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Three men $A, B$ and $C$ of masses $40 kg, 50 kg$ and $60 kg$ are standing on a plank of mass $90 kg$ , which is kept on a smooth horizontal plane. If $A$ and $C$ exchange their positions then mass $B$ will shift