The position (in meter) of a particle of mass 1 kg confined to move along the y-axis varies with time (in second) as y= t2 - 4t+ 5. The work done by all the forces acting on the particle during t = 0 to t = 4 s is

(1)  8 J

(2)  16 J

(3)  32 J

(4)  Zero

Subtopic:  Work Energy Theorem |
 59%
From NCERT
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A particle is dropped from a height of 50 m. If the particle loses its 20% mechanical energy during the impact with the ground, up to what height will it rebound after the second impact?

(1)  40 m

(2)  36 m

(3)  32 m

(4)  28 m

Subtopic:  Gravitational Potential Energy |
From NCERT
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A body of mass 2 kg is rotating in a vertical circle of radius 4 m. The difference in its kinetic energy at the top and bottom of the circle is:

(1)  40 J

(2)  80 J

(3)  120

(4)  160 J

Subtopic:  Work Energy Theorem |
 72%
From NCERT
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If a stone is projected vertically upward from the ground with a speed of 10 m/s, then it's: (g = 10 m/s2)

1.  Potential energy will be maximum after 0.5 s

2.  Kinetic energy will be maximum again after 1 s

3.  Kinetic energy = potential energy at a height of 2.5 m from the ground

4.  Potential energy will be minimum after 1 s

Subtopic:  Gravitational Potential Energy |
 74%
From NCERT
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A body of mass m strikes with the ground with speed u and coefficient of restitution is e, then find the work done by normal reaction force on the body.

1.  zero

2.  12mu2e2 - 1

3.  12mu21 - e2

4.  12mu2

Subtopic:  Collisions |
 53%
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A particle suspended by a light inextensible thread of length l is projected horizontally from its lowest position with velocity 4gl. The height from its lowest position at which particle will leave the circular path is:

1.  3l2

2.  5l3

3.  4l3

4.  2l

Subtopic:  Work Energy Theorem |
 50%
From NCERT
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A mass M is suspended by a spring having a spring constant K. In equilibrium position mass M is given a speed u. Find further extension in the spring.

                          

1.  MKu

2.  2MKu

3.  MKu + MgK

3.  2MKu + MgK

Subtopic:  Elastic Potential Energy |
From NCERT
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A ball 'P strikes elastically with another identical ball Q resting on a smooth surface with velocity v. The ratio of the speeds of vP : ve two balls after the collision is

                          

(1)  1: 3

(2)  3:1

(3)  1:2

(4)  3:2

Subtopic:  Collisions |
 64%
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A block of mass 20 kg is being brought down by a chain. If block acquires a speed of 2 m/s in dropping down 2 m. Find work done by the chain during the process. (g = 10 m/s2)

(1)  -360 J

(2)  400 J

(3)  360 J

(4)  -280 J

Subtopic:  Work Energy Theorem |
 60%
From NCERT
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A ball is dropped from a height h on a stationary floor and rebounds. If the coefficient of restitution is 0.5, then the total distance covered by the ball before it strikes the floor for 3rd time is:

1.  2h

2.  13h8

3.  3h2

4.  4h3

Subtopic:  Collisions |
 68%
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