# A body of mass m moving at a certain speed suffers a perfectly inelastic collision with a body of mass M at rest. The ratio of the final kinetic energy of the system to the initial kinetic energy will be: 1. $$m \over {m + M}$$ 2. $$M \over {m + M}$$ 3. $${m + M} \over m$$ 4. $${m + M} \over M$$

Subtopic:  Collisions |
61%
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An automobile of mass m accelerates from rest, while the engine supplies constant power P. The speed of the automobile as a function of time is given by:

1.

2.

3.

4.

Subtopic:  Power |
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The potential energy of a particle of mass 1 kg free to move along the X-axis is given by $$U(x) = (3x^2-4x+6)~\text{J}$$. The force acting on the particle at x = 0 will be:

1.  2$\stackrel{^}{\mathrm{i}}$ N

2.  -4$\stackrel{^}{\mathrm{i}}$ N

3.  5$\stackrel{^}{\mathrm{i}}$ N

4.  4$\stackrel{^}{\mathrm{i}}$ N

Subtopic:  Potential Energy: Relation with Force |
61%
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Work done by frictional force during walking of a man is:

1.  Positive

2.  Negative

3.  Zero

4.  Maybe positive or negative

Subtopic:  Concept of Work |
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A particle is moving such that the potential energy U varies with position in metre as U (x) = ($4{\mathrm{x}}^{2}$ - 2x + 50) J. The particle will be in equilibrium at:
1. x = 25 cm
2. x = 2.5 cm
3. x = 25 m
4. x = 2.5 m

Subtopic:  Potential Energy: Relation with Force |
78%
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Select the incorrect statement about potential energy:

 1 A change in potential energy is equal to work done against the internal conservative force. 2 A change in potential energy is independent of the reference point. 3 A change in potential energy depends on the reference frame. 4 The potential energy at a point is not unique.

Subtopic:  Gravitational Potential Energy |
50%
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A block of mass m is moving with speed v towards a spring block system. If the collision is perfectly inelastic, then the maximum compression in the spring will be:

1.  $\mathrm{v}\sqrt{\frac{\mathrm{m}}{\mathrm{k}}}$

2.  $\mathrm{v}\sqrt{\frac{2\mathrm{m}}{\mathrm{k}}}$

3.  $\mathrm{m}\sqrt{\frac{\mathrm{v}}{2\mathrm{k}}}$

4.  $\mathrm{v}\sqrt{\frac{\mathrm{m}}{2\mathrm{k}}}$

Subtopic:  Collisions |
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The figure shows the potential energy function U of a system in which a particle is in one-dimensional motion. In which region is the magnitude of the force on the particle greatest? (x: position)

 1 OA 2 CD 3 AB 4 BC

Subtopic:  Potential Energy: Relation with Force |
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Which of the following is not a unit of energy?
1. watt-hour
2. joule
3. eV
4. N/m

Subtopic:  Concept of Work |
74%
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Four situations are shown in the following options. In each situation, planes are equally rough and the block begins with the same speed and slides until the kinetic frictional force has stopped it. In which of the following cases increase in thermal energy due to sliding is least?

 1 2 3 4

Subtopic:  Work Energy Theorem |
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