A satellite of mass M is in a circular orbit of radius R about the center of the earth. A meteorite of the same mass, falling towards the earth, collides with the satellite completely inelastic. The speeds of the satellite and the meteorite are the same, just before the collision. The subsequent motion of the combined body will be:

Such that it escapes to infinity

In a circular orbit of a different radius

In the same circular orbit of radius R

This question has Statement - I and Statement - II of the four choices given after the Statements, choose the one that best describes the two Statements. Statement - I: A point particle of mass m moving with speed ν collides with stationary point particle of mass M . If the maximum energy loss possible is given as f 1 2 m ν 2 then f = m M + m . Statement - II: Maximum energy loss occurs when the particles get stuck together as a result of the collision.

Statement- I is false, Statement- II is true.

Statement- I is true, Statement- II is false.

Statement- I is true, Statement- II is true, Statement- II is a correct explanation of Statement- I .

Statement- I is true, Statement- II is true, Statement- II is not a correct explanation of Statement- I .

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In a vertical plane inside a smooth hollow thin tube a block of the same mass as that of the tube is released as shown in the figure. When it is slightly disturbed it moves towards the right. By the time the block reaches the right end of the tube then the displacement of the: tube will be (where $R^{'}$ is mean radius of tube): Assume that the tube remains in the vertical plane.

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Important Questions on Centre of Mass, Momentum and Collisions

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 60

A ball kept in a closed box moves in the box making collisions with the walls. The box is kept on a smooth surface. The centre of mass

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 61

A man of mass

M

stands at one end of a plank of length

L

which lies at rest on a frictionless horizontal surface. The man walks to the other end of the plank. If the mass of the plank is

\frac{M}{3},

the distance that the man moves relative to the ground is

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 62

Two blocks $A$ and $B$ are connected by a massless string (shown in the figure). A force of $30 N$ is applied on block $B$ . The distance travelled by centre of mass in $2 s$ starting from rest is:

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 63

If the system is released, then the acceleration of the centre of mass of the system:

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 64

Three particles of masses

1 kg, 2 kg

and

3 kg

are subjected to forces

(3 \hat{i} - 2 \hat{j} + 2 \hat{k}) N, (- \hat{i} + 2 \hat{j} - \hat{k}) N,

and

(\hat{i} + \hat{j} + k) N

respectively. The magnitude of the acceleration of the centre of mass of the system is:

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 65

Two bodies of mass

10 kg

and

2 kg

are moving with velocity

2 \hat{i} - 7 \hat{j} + 3 \hat{k} {ms}^{- 1}

and

- 10 \hat{i} + 35 \hat{j} - 3 \hat{k} {ms}^{- 1}

,
respectively. The velocity of their centre of mass is

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 66

Consider a system of two particles having masses

m_{1}

and

m_{2} .

If the particle of mass

m_{1}

is pushed towards the mass centre of particles through a distance

d

, by what distance would the particle of mass

m_{2}

move so as to keep the mass centre of particles at the original position?

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 67

Two identical particles move towards each other with velocity

2 v

and

v

respectively. This velocity of the centre of mass is -

Important Questions on Centre of Mass, Momentum and Collisions

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