20 J of work is done to increase the length of a light spring by 1 cm from its natural length. Work done in increasing its length further by 1 cm is:

(1)  20 J

(2)  40 J

(3)  30 J

(4)  60 J

Subtopic:  Elastic Potential Energy |
 63%
From NCERT
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The work-energy theorem is the scalar form of Newton's

(1)  The first law of motion

(2)  The second law of motion

(3)  Third law of motion

(4)  All of these

Subtopic:  Work Energy Theorem |
 61%
From NCERT
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A pendulum bob is made to move along a vertical circle such that it passes the highest point with critical speed. The ratio of centripetal and tangential acceleration when the string becomes horizontal is

(1)  1: 3

(2)  3: 1

(3)  1: 9

(4)  9: 1

Subtopic:  Work Energy Theorem |
 69%
From NCERT
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A block of mass m is given a speed v when the spring of constant k is in its natural length as shown in the figure. The remaining kinetic energy of the block when spring is compressed by half of the maximum compression is:

                     

(1)  25%

(2)  50%

(3)  75%

(4)  Any value of less than 50%

Subtopic:  Work Energy Theorem |
 55%
From NCERT
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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%
From NCERT
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A shell fired from a cannon explodes in mid-air. It's total

(1)  Linear momentum is not conserved

(2)  Linear momentum is conserved

(3)  Kinetic energy is conserved

(4)  Potential energy is conserved

Subtopic:  Collisions |
 88%
From NCERT
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A constant force is applied on a body of mass 2 kg to give it a displacement s = 12t2. Work done by agent applying the force up to time t = 3 s is

(1)  3 J

(2)  9 J

(3)  18 J

(4)  2 J

Subtopic:  Work done by constant force |
 82%
From NCERT
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A particle of mass 10 kg is moving with a velocity of 10x m/s, where x is displacement. The work done by net force during the displacement of the particle from x = 4 m to x = 9 m is:

(1)  1250 J

(2)  1000

(3)  3500 J

(4)  2500 J

Subtopic:  Concept of Work |
 70%
From NCERT
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Two bodies A and B of mass m and 2m respectively are placed on a smooth floor as shown. They are connected by a spring of constant k. If a third body C of mass m moves with a velocity v0 along the line joining A and B and collides head-on elastically with A, then speed of A at the instant of maximum compression is

                              

1.  v0

2.  v02

3.  v04

4.  v03

Subtopic:  Collisions |
From NCERT
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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%
From NCERT
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