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Two particles $A$ and $B$ initially at rest, move towards each other, under mutual force of attraction. At an instance when the speed of $A$ is $v$ and speed $B$ is 2 $v$ , the speed of the centre of mass (CM) is

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Important Questions on Systems of Particles and Rotational Motion

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 7 - Systems of Particles and Rotational Motion>Exercise>Q 7

Two blocks

A

and

B

are connected by a massless string (shown in figure). A force of

30 N

is applied on block

B

. The distance travelled by centre of mass in

2 s

starting from rest is

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 7 - Systems of Particles and Rotational Motion>Exercise>Q 1

A bomb at rest explodes into

3

parts of same mass. The momentum of two parts is

- 3 p \hat{i}

and

2 p \hat{j}

respectively. The magnitude of momentum of the third part is

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 7 - Systems of Particles and Rotational Motion>Exercise>Q 2

Two particles ( $A$ and $B$ ) of masses $m$ and $2 m$ are joined through a string. The system lies in a gravity-free space. The particle with mass $m$ is projected with velocity $u$ perpendicular to the line $A B$ . What is the maximum speed of the particle $B$ in consequent motion?

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 7 - Systems of Particles and Rotational Motion>Exercise>Q 3

A bullet of mass 0.1 kg is fired with a speed of 100 m/sec, the mass of gun is 50 kg. The velocity of recoil is

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 7 - Systems of Particles and Rotational Motion>Exercise>Q 4

A sphere

P

of mass $m$ moving with velocity

u

collides head-on with another sphere

Q

of mass

m

which is at rest. The ratio of final velocity of

Q

to initial velocity of

P

is (

e =

coefficient of restitution)

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 7 - Systems of Particles and Rotational Motion>Exercise>Q 5

The kinetic energy of a body of mass 3 kg and momentum 2 Ns is

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 7 - Systems of Particles and Rotational Motion>Exercise>Q 6

Consider the following two statements :

I. Linear momentum of a system of particles is zero.

II. Kinetic energy of a system of particles is zero. Then

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 7 - Systems of Particles and Rotational Motion>Exercise>Q 1

A particle undergoes uniform circular motion. about which point of the plane of the circle, will the angular momentum of the particle remain conserved ?

Two particles A and B initially at rest, move towards each other, under mutual force of attraction. At an instance when the speed of A is v and speed B is 2v, the speed of the centre of mass (CM) is

Important Questions on Systems of Particles and Rotational Motion

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Two particles $A$ and $B$ initially at rest, move towards each other, under mutual force of attraction. At an instance when the speed of $A$ is $v$ and speed $B$ is 2 $v$ , the speed of the centre of mass (CM) is