Momentum

Q. if the percent error in the measurement of momentum and mass of an object are 2 percent and 3 percent then maximum percentage error in the calculated value of its kinetic energy i

Q.

The kinetic energy $k$ of a particle moving along a circle of radius $R$ depends on the distance covered $s$ as $k=a{s}^2$ where $a$ is a constant. The force acting on the particle is

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Q.

The principle of working of a rocket is based on

1. conservation of charge

2. conservation of energy

3. conservation of linear momentum and third law of motion

4. conservation of mass

Q.

If the momentum of a body is doubled, then its kinetic energy will increase by

1. 100%

2. 300%

3. 50%

4. 400%

Q.

If a force of 250 N act on body, the momentum acquired is 125 kg-m/s. What is the period for which force acts on the body

1. 0.5 sec

2. 0.2 sec

3. 0.4 sec

4. 0.25 sec

Q. The total kinetic energy of a body of mass 10kg and radius 0.5m rolling with a velocity of 2 m/s without slipping is 32.8 J The radius of gyration of the body is :

Q. Two particles of masses m and 2m are connected by massless string of length 3 meter and whole system is rotating about their centre of mass with angular speed ω. The kinetic energy ofsystem is

Q. 1.the kinetic energy of a body is increased by 300%. the momentum of the body would increase by a.50% b.100% c. 150% d.300%

Q. a particle of mass m moves on the axis of a ribg of radius R and mass M.if particle at rest released from P then its kinetic energy at centre c will b

Q. A block of mass 4.5kg is free to move along the x-axis. It is at rest at t=0. If the force on the particle varies with time, then its kinetic energy at t=4.5s is

Q. 29. A person, with outstretched arms, is spinning on a rotating stool. He suddenly brings his arms down to his sides. Which of the following is true about his kinetic energy K and angular momentum L? (1) Both K and L increase (2) Both K and L remain unchanged (3) K remains constant, L increases (4) K increases but L remains constant

Q. 14. A bullet, on penetrating two successive wooden planks of unequal thickness, loses its velocity by 200 m s-1 in each case. If the initial velocity of the bullet is 1000 m s-1, calculate the ratio of thickness of the planks

Q. A hollow sphere having mass m and radius R is moving as shown in the fig. If the speed of centre of mass of sphere is V and angular speed is w=V/R. The angular momentum of the sphere about point O is m 1)5/3MVR 2)MVR 3)MVR/2 4)MVR/

Q. A ball is projected with momentum p at angle θ from horizontal. What is the change in momentum till it reaches the highest point?

Q. if time t energyE momentumM are as base quatites then dimension of mass

Q.

A man of 80 kg mass is standing on the rim of a circular platform of mass 100 kg rotating about its axis. The mass of the platform with the man on its rotates at 12 r.p.m. If the man moves to the center of the platform, the rotational speed (take platform as a circular ring)

1. 22.4rpm

2. 21.6 rpm

3. 24.2 rpm

4. 23.6 rpm

Q. Two disc having Masses in the ratio 1:2 and radius in the ratio 1: 8 roll down without slipping one by one fromm an incline plane of height h the ratio of the linear velocity on reaching the ground is

Q. 14. A wagon of mass 2000kg is seperated form a train travelling at 9 km/hr and then the wagon comes to rest in 2 min Find the resistance b/with theach wheels and wagon and the track

Q. A particle of mass 1kg has been thrown with initial speed 20m/sec making an angle 60degree with the horizontal ground.the angular momentum of the particle about point of projection when the projectile is at the highest point is?

Q. A dancer is standing on a rotating platform takingtwo sphere on her hands. If she drops down the sphere on ground, then dancers(1) angular velocity will increase(2) angular momentum & angular velocity both willunchange(3) angular momentum unchanged & angularvelocity will increase(4) both will decrease

Q. A ball is dropped from a height of 15m and gets embedded in sand 1m and stops. Then, 1. Only momentum is conserved 2. Only kinetic energy is conserved 3. Both momentum and kinetic energy are conserved 4. Neither momentum nor kinetic energy is conserved

Q. write down three differences between mass and moment of inerti

Q. The kinetic energy of mass 2kg and momentum of 2kg m/s is

Q. How to find moment of inertia of a triangle about its centre of mass

Q. If the kinetic energy of a body increases by 300%, A, by what percent shall the linear momentum of thebody increase?

Q. A particle of mass 2 kg is on a smooth horizontal table and moves in a circular path of radius 0.6m. The height of the table from the ground is 0.8m. If the angular speedof particle is 12 rad per sec. the ang. momentum about a point on the ground right under the centre of the circle i

Q.

Angular momentum of a body is the product of

1. Angular velocity and radius vector of a particle

2. Linear momentum (p) of a particle and the perpendicular distance of the line of action of linear momentum vector from axis of rotation.

3. Force on a particle and perpendicular distance

4. Mass of a particle and square of perpendicular distance

Q. 7. A body of mass 1 kg moving on a smoothhorizontal surface with velocity 5 m/s is to bebrought to rest in 5 seconds. How much constanforce is needed to be applied?

Q. If the linear momentum of body is increased by 50% what will be the percentage increase in the kinetic energy of the body. ?

Q.

What is the relation between torque and angular momentum?

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