A particle of mass 15 kg has an initial velocity vi = i^ - 2j^ m/s. It collides with another body and the impact time is 0.1 s, resulting in a velocity vf = 6i^ + 4j^ + 5k^ m/s after impact. The average force of impact on the particle is

1.  155i^ + 6j^ + 5k^

2.  155i^ + 6j^ - 5k^

3.  1505i^ - 6j^ + 5k^

4.  1505i^ + 6j^ + 5k^

Subtopic:  Newton's Laws |
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A particle of mass m at rest is acted upon by a constant force F for a time t. Its kinetic energy after an interval t is 

1.  F2t2m

2.  F2t22m

3.  F2t23m

4.  Ft2m

Subtopic:  Newton's Laws |
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For a rocket moving in free space, the fraction of mass to be disposed of Off to attain a speed equal to two times the exhaust speed is given by (given e2 = 7.4)

1. 0.40

2.  0.37

3.  0.50

4.  0.86

Subtopic:  Variable Mass System |
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The magnitude of the impulse developed by a mass of 0.2 kg which changes its velocity from 5i^ - 3j^ + 7k^  m/s to 2i^ + 3j^ + k^ m/s is

1.  2.7 N-s

2.  1.8 N-s

3.  0.9 N-s

4.  3.6 N-s

Subtopic:  Newton's Laws |
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A particle of mass m has momentum p. it's kinetic energy will be 

1.  mp

2.  p2m

3.  p2m

4.  p22m

Subtopic:  Newton's Laws |
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When a ball of mass = 5kg hits a bat with a velocity = 3 m/s, in positive direction and it moves back with a velocity = 4 m/s, find the impulse in SI units

1. 5 

2. 15

3. 25

4. 35

Subtopic:  Newton's Laws |
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A soldier is firing 20 bullets per second from his gun having a muzzle speed of 150 m/s. The mass of each bullet is 50 g. If they strike the wall and rebound with the same speed, then the force on the wall is

1.  75 N

2.  150 N

3.  300 N

4.  600 N

Subtopic:  Newton's Laws |
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The length of a spring is l1 and l2 when stretched with a force of 4 N and 5 N respectively. Its natural length is?

1. l2+l1

2. 2(l2-l1)

3. 5l1-4l2

4. 5I2-4l1

Subtopic:  Spring Force |
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A simple pendulum hangs from the roof of a train moving on horizontal rails. If the string is inclined towards the front of the train, then train is-

1. Moving with constant velocity

2. In accelerated motion

3. In retarded motion

4. At rest

Subtopic:  Application of Laws |
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The value of M of the hanging block is in the figure, which will prevent the smaller block (m=1 kg) from slipping over the triangular block. All the surfaces are smooth and string and pulley are ideal. (Given: M'=4 kg and θ=370)

                          

1. 12 kg

2. 15 kg

3. 10 kg

4. 4 kg

Subtopic:  Pseudo Force |
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