Work, Energy and Power

Three bodies A, B and C have equal kinetic energies and their masses are 400 g, 1.2 kg and 1.6 kg respectively. The ratio of their linear momenta is :

1. 1 : 3 : 2
2. 3 : 2 : 1
3. 1 : 3 : 2
4. 2 : 3 : 1

[figure] A block is simply released from the top of an inclined plane as shown in the figure above. The maximum compression in the spring when the block hits the spring is :

1. 6 m
2. 5 m
3. 1 m
4. 2 m

A bullet of mass 50 g is fired with a speed 100 m/s on a plywood and emerges with 40 m/s. The percentage loss of kinetic energy is :

1. 44\%
2. 16\%
3. 84\%
4. 32\%

Four particles A, B, C, D of mass m2, m, 2m, 4m, have same momentum, respectively. The particle with maximum kinetic energy is :

1. B
2. C
3. D
4. A

When kinetic energy of a body becomes 36 times of its original value, the percentage increase in the momentum of the body will be :

1. 60%
2. 500%
3. 6%
4. 600%

A body of mass 50 kg is lifted to a height of 20 m from the ground in the two different ways as shown in the figures. The ratio of work done against the gravity in both the respective cases, will be : [figure]

1. 2 : 1
2. 3 : 2
3. 1 : 1
4. 1 : 2

A body is moving unidirectionally under the influence of a constant power source. Its displacement in time t is proportional to :

1. t2/3
2. t3/2
3. t
4. t2

If a rubber ball falls from a height h and rebounds upto the height of h/2. The percentage loss of total energy of the initial system as well as velocity of ball before it strikes the ground, respectively, are :

1. 50\%, 2gh
2. 50\%, gh
3. 50\%, gh2
4. 40\%, 2gh

A body of m kg slides from rest along the curve of vertical circle from point A to B in frictionless path. The velocity of the body at B is: [figure] (given, R = 14 m, g = 10 m/s2 and 2 = 1.4)

1. 10.6 m/s
2. 19.8 m/s
3. 16.7 m/s
4. 21.9 m/s

A simple pendulum of length 1 m has a wooden bob of mass 1 kg. It is struck by a bullet of mass 10-2 kg moving with a speed of 2 102 ms-1. The bullet gets embedded into the bob. The height to which the bob rises before swinging back is : (use g=10 m/s2)

1. 0.20 m
2. 0.40 m
3. 0.30 m
4. 0.35 m