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 centre of mass of triangle shown in figure has coordinates

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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 24

Four bodies of the equal mass start moving with the same speed as shown in the figure. In which of the following combination the centre of mass will remain at origin.

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 25

Three identical spheres, each of mass $1 kg$ are kept as shown in the figure, touching each other with their centres on a straight line If their centres are marked $P, Q, R$ respectively, the distance of the centre of mass of the system from $P$ (origin) is

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 26

A uniform square plate $A B C D$ has a mass of $10 kg .$ If two point masses of $3 kg$ each are placed corners $C$ and $D$ as shown in the adjoining figure, then the centre of mass shifts to the point which lies on -

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 27

Three particles of masses $1 kg, 2 kg$ and $3 kg$ are placed at the corners of an equilateral triangle of side $1.0 m$ as shown in the figure. The coordinates of the centre of masses of the system are

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 28

A non-uniform thin rod of length

L

is placed along

x

-axis as such its one of ends at the origin. The linear mass density of rod is

λ = λ_{0} x .

The distance of centre of mass of rod from the origin is :

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 30

Four particle of masses

m, 2 m, 3 m

and

4 m

are arranged at the corners of a parallelogram with each side equal to

a

and one of the angles between two adjacent sides is

60 ° .

The parallelogram in the

x - y

plane with mass

m

at the origin and

4 m

on the x-axis. The centre of mass of the arrangement will be located at

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 31

The masses

8 kg

2 kg

4 kg

and

2 kg

are placed at the corners

A, B, C

and

D

, respectively, of a square

A B C D

of diagonal

80 cm

. The distance of centre of mass from

A

will be

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Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 32

If the linear density of a rod of length

3 m

varies as

λ = 2 + x,

then the position of the centre of gravity of the rod is

The centre of mass of triangle shown in figure has coordinates

Important Questions on Centre of Mass, Momentum and Collisions

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