A particle is moving along the x-axis under a conservative force and its potential energy U varies with x co-ordinate as shown in the figure. Then force is positive at:

                           

(1)  A

(2)  C, D 

(3)  B

(4)  D, E

Subtopic:  Potential Energy: Relation with Force |
 56%
From NCERT
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The following are three graphs of the magnitude of force F versus time t for a body involved in a collision.

                         

Then the relation between the magnitude of impulse on the body in these cases is best represented by

(1)  a > b > c

(2)  a = b = c

(3)  b > a > c

(4)  c > a < b

Subtopic:  Collisions |
 86%
From NCERT
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A block of mass 'm' is connected to a spring of force constant K. Initially, the block is at rest and the spring is relaxed. A constant force F is applied horizontally towards the right. The maximum speed of the block will be:

                              

1. F2mK 2.  2FmK
3. FmK 4. 2F2mK
Subtopic:  Work Energy Theorem |
 57%
From NCERT
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Two blocks A and B of mass m and 4m at rest are displaced through identical paths due to identical net forces, then

1.  Their speeds are in the ratio, vAvB = 11

2.  Work done on the blocks is in the ratio, WAWB = 11

3.  Their kinetic energies are in the ratio, KAKB = 14

4.  All of these

Subtopic:  Concept of Work |
From NCERT
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For the path wxyz in a conservative field, the amount of work done in carrying a body from w to x and from x to y and from y to z are 2 J. 4 J and 6 J respectively. The work done in carrying the body from w to z will be

                            

(1)  12 J

(2)  2 J

(3)  4 J

(4)  6

Subtopic:  Concept of Work |
 75%
From NCERT
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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%
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