A spring 40 mm long is stretched by the application of a force. If 10 N force required to stretch the spring through 1 mm, then work done in stretching the spring through 40 mm is

1. 84J

2. 68J

3. 23J

4. 8J

Subtopic:  Elastic Potential Energy |
 56%
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Two springs with spring constants k1 = 1500 N/m and k2 = 3000 N/m are stretched by the same force. The ratio of potential energy stored in the springs will be 

1. 2:1

2. 1:2

3. 4:1

4. 1:4

Subtopic:  Elastic Potential Energy |
 57%
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A block of mass 2 kg moving with velocity of 10 m/s on a smooth surface hits a spring of force constant 80×103 N/m as shown. The maximum compression in the spring is

1. 5 cm

2. 10 cm

3. 15 cm

4. 20 cm

Subtopic:  Elastic Potential Energy |
 70%
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A particle of mass 10 kg is moving with velocity of 10x m/s, where x is displacement . The work done by net force during the displacement of particle from x = 4 to x = 9 m is 

1. 1250 J

2. 1000 J

3. 3500 J

4. 2500 J

Subtopic:  Concept of Work |
 65%
From NCERT
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If length of string is l = 103m, TmaxTmin=4

where
 Tmax= Maximum tension in the string
Tmin=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 |
From NCERT
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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 |
 61%
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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 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 |
 73%
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A weightless rod of length 2l carries two equal mass 'm', one tied at lower end A and the other at the middle of the rod at B. The rod can rotate in a vertical plane about a fixed horizontal axis passing through C. The rod is released from rest in the horizontal position. The speed of the mass B at the instant rod becomes vertical is:

1. \(\sqrt{\frac{3 g l}{5}} \)

2. \(\sqrt{\frac{4 g l}{5}} \)

3. \(\sqrt{\frac{6 g l}{5}} \)

4. \(\sqrt{\frac{7 g l}{5}} \)

Subtopic:  Work Energy Theorem |
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A force F is applied on a body which moves with a velocity v in the direction of the force, then the power will be

1.  Fv2

2.  Fv

3.  F/v2

4.  F/v

 

Subtopic:  Power |
 89%
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