A person-1 stands on an elevator moving with an initial velocity of 'v' & upward acceleration 'a'. Another person-2 of the same mass m as person-1 is standing on the same elevator. The work done by the lift on the person-1 as observed by person-2 in time 't' is:

1.  mg + avt + 12at2

2.  -mgvt + 12at2

3.  0

4.  mavt + 12at2

Subtopic:  Work done by constant force |
 78%
From NCERT
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If a body of mass 2 kg is moved in the conservative field from point A to B in three different paths, then work done will be

                               

(1)  WI < WII < WIII

(2)  WI > WII > WIII

(3)  WI = WII = WIII

(4)  WI > WII = WIII

Subtopic:  Potential Energy: Relation with Force |
 88%
From NCERT
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Two pendulum bobs A and B of mass m and 2m respectively are simultaneously released from a height H above the lowest point, making an elastic collision at the lowest point. If after the first collision A and B rise to heights h1 and h2 respectively, then h1+2h2 is:

1.  3H

2.  H

3.  H3

4.  2H3

Subtopic:  Gravitational Potential Energy |
 59%
From NCERT
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Two particles moving initially in the same direction undergo a one-dimensional elastic collision. Their relative velocities before and after the collision are v1 and v2. Which of the following is not correct?

1.  v1 = v2

2.  v1 = -v2 only is the two are of equal mass

3.  v1.v2 = -v12

4.  v1.v2 = -v22

Subtopic:  Collisions |
 61%
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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 |
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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%
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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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