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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If a lighter body (mass $M_{1}$ and velocity $V_{1}$ ) and a heavier body (mass $M_{2}$ and velocity $V_{i}$ ) have the same kinetic energy, then

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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 94

A bomb of mass

12 kg

at rest explodes into two fragments of masses in the ratio

1 : 3

. The kinetic energy of the smaller fragment is

216 J

. The momentum of the heavier fragment is (in

kg m s^{- 1}

)

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 95

A bomb is projected with

200 m s^{- 1}

at an angle

60 °

with horizontal. At the highest point, it explodes into three particles of equial masses. One goes vertically upward with velocity

100 m s^{- 1},

second particle goes vertically downyard with, the same velocity as the first. Then what is the velocity of the third one-

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 96

Consider the following two statements :

A .

Linear momentum of a system of particles is zero

B .

Kinetic energy of a system of particles is zero

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 97

A $50 g$ bullet moving with velocity $10 m s^{- 1}$ strikes a block of $950 g$ at rest and gets embedded in it. The loss in kinetic energy will be $?$

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 98

A body at rest splits into three parts of masses

m, m

and

4 m

, respectively. The two equal masses fly off perpendicular to each other, and each with speed of

v

. The speed of

4 m

will be

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 99

A stationary body explodes into two fragments of masses

m_{1}

and

m_{2}

. If momentum of one fragment is

p

, the minimum energy of explosion is

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 100

If the momentum of a body increases by

20 %

, the percentage increase in its kinetic energy is equal to

HARD

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 101

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?

If a lighter body (mass M1 and velocity V1 ) and a heavier body (mass M2 and velocity Vi) have the same kinetic energy, then

Important Questions on Centre of Mass, Momentum and Collisions

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If a lighter body (mass $M_{1}$ and velocity $V_{1}$ ) and a heavier body (mass $M_{2}$ and velocity $V_{i}$ ) have the same kinetic energy, then