A body starts moving from rest in straight line under a constant power source. Its displacement in time t is proportional to

(1) t1/2

(2) t

(3) t3/2

(4) t2

Subtopic:  Power |
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A block of mass m = 25 kg on a smooth horizontal surface with a velocity v =3 ms-1 meets the spring of spring constant k = 100 N/m fixed at one end as shown in the figure. The maximum compression of the spring and velocity of the block as it returns to the original position respectively are: 

                     3523

1.  1.5 m, -3 ms-1

2.  1.5 m, 0 ms-1

3.  1.0 m, 3 ms-1

4.  0.5 m, 2 ms-1

Subtopic:  Elastic Potential Energy |
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The velocity, given to the block of mass (m), is 72gl to rotate it in a circle of radius l. Calculate the height (h) where the block leaves the circle.

1. 3l2

2. 4l3

3. 5l4

4. None of these

Subtopic:  Work Energy Theorem |
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If length of string is l = 103m, TmaxTmin=4

where Tmax= Maximum tension in the stringTmin=Minimum tension in the string.Velocity at highest point is -

1.  10 m/s

2.  20 m/s

3.  102m/s

4.  103 m/s

Subtopic:  Work Energy Theorem |
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The relation between velocity (v) and time (t) is vt, then which one of the following quantity is constant?

1.  Force

2.  Power

3.  Momentum

4.  Kinetic Energy

Subtopic:  Power |
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A particle is moving on the circular path of the radius (R) with centripetal acceleration ac=k2Rt2. Then the correct relation showing power (P) delivered by net force versus time (t) is 

1. 1

2. 2

3. 3

4. 4

Subtopic:  Power |
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A steel wire can withstand a load up to 2940 N. A load of 150 kg is suspended from a rigid support. The maximum angle through which the wire can be displaced from the mean position, so that the wire does not break when the load passes through the position of equilibrium, is (2008 E)

1. 30°

2. 60°

3. 80°

4. 85°

Subtopic:  Work Energy Theorem |
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A sphere of mass m moving with constant velocity hits another sphere of the same mass at rest. If e is the coefficient of restitution. The ratio of their velocities after the collision is

1.  1 + e

2.  1 + e2

3.  1 + 2e1 - 2e

4.  1 - e1 + e

Subtopic:  Collisions |
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A body is thrown vertically up with a certain initial velocity. The potential and the kinetic energy of the body are equal at a point P in its path. If the same body is thrown with double the velocity upwards, the ratio of the potential and the kinetic energies of the body when it crosses at the same point will be: 

1. 1:1

2. 1:4

3. 1:7

4. 1:8

Subtopic:  Conservation of Mechanical Energy |
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A body is displaced from (0,0) to (1m,1m) along the path x=y by a force F=x2j^+yi^N. The work done by this force will be :

1. 43J

2. 56J

3. 32J

4. 75J

Subtopic:  Work Done by Variable Force | Work Energy Theorem | Power |
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