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 collision between two solid spheres, the velocity of separation along the line of impact is (assume no external forces act on the system of two spheres during impact)

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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 128

In the figure shown the block $A$ collides head on with another block $B$ at rest. Mass of $B$ is twice the mass of $A .$ The block A stops after collisión. The co-efficient of restitution is

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 129

A sphere of mass

m

moving with a constant velocity hits another stationary sphere of the same mass. If

e

is the coefficient of restitution, then the ratio of the speed of the first sphere to the speed of the second sphere, after a collision, will be

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 130

A ball rebounds after colliding with the floor, then in case of inelastic collision-

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 132

A particle of mass

m_{1}

moving with a velocity of

5 m s^{- 1}

collides head-on with a stationary particle of mass

m_{2} .

After collision both the particles move with a common velocity of

4 m s^{- 1},

then the value of

\frac{m_{1}}{m_{2}}

is-

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 133

A body of mass

m_{1}

collidés head on elastically with a stationary body of mass

m_{2} .

If velocities of

m_{1}

before and after the collision are

v

and

\frac{- v}{3}

, respectively then the value of

\frac{m_{1}}{m_{2}}

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 135

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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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

In a collision between two solid spheres, the velocity of separation along the line of impact is (assume no external forces act on the system of two spheres during impact)

Important Questions on Centre of Mass, Momentum and Collisions

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