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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Two identical smooth spheres $A$ and $B$ are moving with same velocity and collides with similar spheres $C$ and $D,$ then after elastics collision- (Consider one dimensional collision)

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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 136

A ball is allowed to fall from a height

1.0 m .

If the value of the coefficient of restitution is

0.6,

then after the impact ball will go up to

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 137

A ball of mass

m

is moving with velocity

v

collides elastically with another ball of identical mass coming from opposite direction with velocity

2 v

. Their velocities after collision will be

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 138

A sphere of mass

M

moving with velocity

u

collides head on elastically with a sphere of mass

m

at rest. After collision their respective velocities are

V

and

v

. The value of

v

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 139

A scooter of

40 kg

mass moving with velocity

4 m s^{- 1}

collides with another scooter of

60 kg

mass and moving with velocity

2 m s^{- 1} .

After the collision the two scooters stick to each other the loss in kinetic energy is-

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 140

Two spheres approaching each other collide elastically. Before the collision the speed of

A

5 m s^{- 1}

and that of

B

10 m s^{- 1} .

. Their masses are

1 kg

and

0.5 kg .

After collision velocities of

A

and

B

are respectively-

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 141

After falling from a height

h

and striking the ground twice, a ball rise up to the height [

e =

coefficient of restitution]

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 142

A metal ball of mass

2.0 kg

moving at

36 km {hr}^{- 1}

collides with a stationary ball of mass

3.0 kg .

If after the collision both balls move together, 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 143

One sphere collides with another sphere of same mass at rest inelastically. If the value of coefficient of restitution is 1/ 2, the ratio of their speeds after collision shall be-

Two identical smooth spheres A and B are moving with same velocity and collides with similar spheres C and D, then after elastics collision- (Consider one dimensional collision)

Important Questions on Centre of Mass, Momentum and Collisions

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Two identical smooth spheres $A$ and $B$ are moving with same velocity and collides with similar spheres $C$ and $D,$ then after elastics collision- (Consider one dimensional collision)