Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 77

EASY

NEET

IMPORTANT

Earn 100

Two particles of masses $m_{1}$ and $m_{2}$ initially at rest start moving towards each other under their mutual force of attraction. The speed of the centre of mass at any time $t$ , when they are at a distance $r$ apart, is

46.67% studentsanswered this correctly

Important Questions on Centre of Mass, Momentum and Collisions

EASY

NEET

IMPORTANT

Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 78

A body of mass

20 kg

is moving with a velocity of

2 v

and another body of mass

10 kg

is moving with velocity

V

along the same direction. The velocity of their centre of mass is

MEDIUM

NEET

IMPORTANT

Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 80

A thin rod of length

L

lying along the jc-axis with its ends at

x = 0

and

x = L

. Its linear density (mass/length) varies with

x

as

k {(\frac{x}{L})}^{n}

, where

n

can be zero or any positive number. If the position

x_{c . m .}

of the center of mass of the rod is plotted against

n

, which of the following graphs best approximates the dependence of

x_{c . m .}

on

n

MEDIUM

NEET

IMPORTANT

Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 81

Two particles $A$ and $B$ , initially at rest, move towards each other under a mutual force of attraction. The speed of centre of mass, at the instant when the speed of $A$ is $V$ and the speed of $B$ is

2 V

, is

EASY

NEET

IMPORTANT

Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 82

If the kinetic energy of a body becomes four times its initial value, then the new momentum will be more than its initial momentum by

MEDIUM

NEET

IMPORTANT

Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 83

A particle of mass

4 m

which is at rest explodes into three fragments. Two of the fragments, each of mass

m

are found to move with speed

v

each, in mutually perpendicular directions. The total energy released in the process of the explosion is

EASY

NEET

IMPORTANT

Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 84

A bullet of mass

m

is being fired from a stationary gun of mass

M .

If the velocity of the bullet is

v,

the velocity of the gun is

EASY

NEET

IMPORTANT

Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 85

A bomb explodes in the air in two equal fragments. If one of the fragments is moving vertically upwards with velocity

v_{0},

then the other fragment is moving

EASY

NEET

IMPORTANT

Alpha Question Bank for Medical: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise-1>Q 86

Two particles with equal kinetic energies are having masses in the ratio of

1 : 2 .

Then linear momenta will be in the ratio