A block of mass m is allowed to slide down a fixed smooth inclined plane of inclination θand slope length L. What is the power developed by the force of gravity, when the block reaches the bottom?

1.  2m2Lgsinθ3

2.  23Lg2sin θ

3.  23m2Lg3

4.  mg2gL sin θ

Subtopic:  Power |
 55%
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Which of the following statement is correct regarding potential energy?

(1)  Change in potential energy depends upon reference point.

(2)  Potential energy does not depend upon reference point.

(3)  Potential energy can be defined for any field.

(4)  Change in potential energy of any particle is equal to work done by external force for moving the particle in equilibrium in a conservative field.

Subtopic:  Potential Energy: Relation with Force |
 63%
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A body A of mass 10 kg at rest starts slipping from the top of the inclined plane of height 10 m as shown. If it reaches the ground at 10 m/s, then work done by friction is

                       

(1)  500 J

(2)  -500 J

(3)  1000 J

(4)  -1000 J

Subtopic:  Work Energy Theorem |
 74%
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A body is released from the top of an inclined smooth plane of inclination θ. It reaches the bottom with speed u. If the angle of inclination is doubled keeping the height unchanged, then the speed of the object on reaching on the ground is

(1)  u

(2)  2u

(3)  u2cos θ

(4)  u2sin θ

Subtopic:  Gravitational Potential Energy |
 58%
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Select the correct statement. Work is done by the internal forces on the system

(1)  maybe zero.

(2)  must be greater than zero.

(3)  must be less than zero.

(4)  must be zero.

Subtopic:  Concept of Work |
 50%
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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.  2i^ N

2.  -4i^ N

3.  5i^ N

4.  4i^ N

Subtopic:  Potential Energy: Relation with Force |
 61%
From NCERT
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A block of mass m is attached with a spring of spring constant k as shown in the figure. Another block of mass 2m moving with speed v hits the spring. Speed of blocks at the instant of maximum compression of spring is:

                            

1.  v3

2.  v2

3.  2v3

4.  3v2

Subtopic:  Collisions |
 76%
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The potential energy of a particle of mass m varies as U=ax2+by. The magnitude of the acceleration of the particle at (0, 3) is (symbols have their usual meaning)

1.  bm

2.  3bm

3.  bm

4.  Zero

Subtopic:  Potential Energy: Relation with Force |
 64%
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A ball of mass 100 g at rest is thrown on a horizontal surface as shown in the figure. The acceleration-displacement graph for the motion is given. The maximum height attained by the ball on the smooth inclined plane is

               

(1)  10 m

(2)  4 m

(3)  2 m

(4)  1 m

Subtopic:  Work Energy Theorem |
 73%
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A body moving with speed 10 m/s is stopped by applying constant braking power in 5 seconds. If the speed of the body is 30 m/s, then time in which the body can be stopped by applying the same retarding power is

(1)  10 s

(2)  15 s

(3)  30 s

(4)  45 s

Subtopic:  Power |
 50%
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