# 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 particle of mass m has momentum p. it's kinetic energy will be

1.  mp

2.  ${p}^{2}m$

3.  $\frac{{p}^{2}}{m}$

4.  $\frac{{p}^{2}}{2m}$

Subtopic:  Newton's Laws |
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A particle of mass 15 kg has an initial velocity m/s. It collides with another body and the impact time is 0.1 s, resulting in a velocity m/s after impact. The average force of impact on the particle is

1.

2.

3.

4.

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.  $\frac{{\mathrm{F}}^{2}{\mathrm{t}}^{2}}{\mathrm{m}}$

2.  $\frac{{\mathrm{F}}^{2}{\mathrm{t}}^{2}}{2\mathrm{m}}$

3.  $\frac{{\mathrm{F}}^{2}{\mathrm{t}}^{2}}{3\mathrm{m}}$

4.  $\frac{\mathrm{Ft}}{2\mathrm{m}}$

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 ${\mathrm{e}}^{2}$ = 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  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 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 $$l_1$$ and $$l_2$$ when stretched with a force of $$4$$ N and $$5$$ N respectively. Its natural length is?
 1 $$l_2+l_1$$ 2 $$2(l_2-l_1)$$ 3 $$5l_1-4l_2$$ 4 $$5l_2-4l_1$$
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 $$\theta$$ $$=37^\circ$$)

1. $$12$$ kg
2. $$15$$ kg
3. $$10$$ kg
4. $$4$$ kg

Subtopic:  Pseudo Force |
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