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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A man of mass $m$ climbs on a rope of length $L$ suspended below a balloon of mass $M$ . The balloon is stationary with respect to the ground. If the man begins to climb up the rope at a speed $v_{rel}$ (relative to the rope), then in what direction and with what speed (relative to the ground) will the balloon move?

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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 102

$1 kg$ body explodes into three fragments. The ratio of their masses is $1 : 1 : 3$ . The fragments of same mass move perpendicular to each other with speeds $30 m / s$ , while the heavier part remains in the initial direction. What must have been the speed of heavier part ?

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 103

A stationary particle explodes into two particles of masses

m_{1}

and

m_{2}

which move in opposite direction with velocity

v_{1}

and

v_{2}

. The ratio of their kinetic energies

E_{1} / E_{2}

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 104

A bomb of mass

30 kg

at rest explodes into two pieces of masses

18 kg

and

12 kg

. The velocity of

18 kg

mass is

6 {ms}^{- 1}

. The kinetic energy of the other mass is

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 105

A shell of mass

200 g

is ejected from a gun of mass

4 k g

by an explosion that generates

1.05 k J

of energy. The initial velocity of the shell is

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 106

A bomb of mass

3.0 kg

explodes in air into two pieces of masses

2.0 kg

and

1.0 kg

.The smaller mass goes at a speed of

80 {ms}^{- 1}

. The total energy imparted to the two fragments is

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 107

A block of mass

0.50 kg

is moving with a speed of

2.00 m s^{- 1}

on a smooth surface. It strikes another mass of

1.00 kg

and then they move together as a single body. The energy loss during the collision is:

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 108

Two particles

A

and

B

start moving due to their mutual interaction only. If at any time

t, {}_{A}& {\vec{a}}_{B}

are their respective accelerations,

{\vec{V}}_{A}

and

{\bar{V}}_{B}

are their respective velocities/ and up to that time

W_{A}

and

w_{B}^{''}

are the work done on

A & B

, respectively by the mutual force,

m_{A}

and

m_{B}

are their masses respectively, then which of the following is always correct.

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 109

In the diagram shown, a block of mass $M$ initially at rest on a frictionless horizontal surface is struck by a bullet of mass $m$ moving with horizontal velocity $V .$ What is the velocity of the bullet-block system after the bullet embeds itself in the block?

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Important Questions on Centre of Mass, Momentum and Collisions

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