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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The position vector of the centre of mass $\vec{r} cm$ of an asymmetric uniform bar of a negligible area of cross-section, as shown in the figure is:

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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-3>Q 30

An alpha-particle of mass m suffers one dimensional elastic collision with a nucleus at rest of unknown mass. It is scattered directly backwards losing,

64 %

of its initial kinetic energy. The mass of the nucleus is :-

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-3>Q 31

The figure shows the position-time $(x - t)$ graph of one-dimensional motion of a body of mass $0.4 kg$ . The magnitude of each impulse is,

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-4>Q 1

A particle is attached to the lower end of a uniform rod which is hinged at its other end as shown in the figure. The minimum speed is given to the particle so that the rod performs circular motion in a vertical plane will be :[ length of the rod is $l$ , consider masses of both rod and particle to be same ]

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-4>Q 2

A rod of negligible mass and length $l$ is pivoted at its centre. A particle of mass $m$ is fixed to its left end and another particle of mass $2 m$ is fixed to the right end. If the system is released from rest and after some time becomes vertical, the speed $v$ of the two masses and angular velocity at that instant:

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-4>Q 3

A ball collides with an inclined plane of inclination

θ

after falling through a distance

h

. If it moves horizontally just after the impact, the coefficient of restitution is

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-4>Q 4

A plate in the form of a semicircle of radius

r

a

has a mass per unit area of

k r

where

k

is a constant and

r

is the distance from the centre of the straight edge. By dividing the plate into semicircular rings, find the distance of the centre of mass of the plate from the centre of its straight edge.

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-4>Q 5

A point mass of

1 kg

collides elastically with a stationary point mass of

5 kg

. After their collision, the

1 kg

mass reverses its direction and moves with a speed of

2 {m s}^{- 1}

. Which of the following statement(s) is (are) correct for the system of these two masses?

The position vector of the centre of mass r→ cm of an asymmetric uniform bar of a negligible area of cross-section, as shown in the figure is:

Important Questions on Centre of Mass, Momentum and Collisions

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The position vector of the centre of mass $\vec{r} cm$ of an asymmetric uniform bar of a negligible area of cross-section, as shown in the figure is: