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The body of a man \(100~\text{kg}\) travelled \(10~\text{m}\) before coming to rest. If \(\mu=0.4,\) then work done against friction is: (motion is happening on a horizontal surface, take \(g=10~\text{m/s}^2\))
1. \(4500~\text{J}\)
2. \(5000~\text{J}\)
3. \(4200~\text{J}\)
4. \(4000~\text{J}\)
Subtopic:  Work Energy Theorem |
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A rigid body moves a distance of \(10\) m along a straight line under the action of a force of \(5\) N. If the work done by this force on the body is \(25~\text{J}\), the angle which the force makes with the direction of motion of the body is:

1. \(0^{\circ}\) 2. \(30^{\circ}\)
3. \(60^{\circ}\) 4. \(90^{\circ}\)
Subtopic:  Concept of Work |
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A man pushes a wall and fails to displace it. He does: 

1. negative work
2. positive but not maximum work
3. no work at all
4. maximum work 
Subtopic:  Concept of Work |
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A mass of \(5\text{ kg}\) is moving along a circular path of radius \(1\text{ m}.\) If the mass moves with \(300\text{ revolutions per minute},\) its kinetic energy would be:
1. \(250 \pi^2\)
2. \(100 \pi^2\)
3. \(5 \pi^2\)
4. \(0\)
Subtopic:  Concept of Work |
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A spring has a force constant of \(100~\text{N/m}\) and an unstretched length of \(0.07~\text m.\) One end is attached to a post that is free to rotate in the centre of a smooth table, as shown in the top view. The other end is attached to a \(1~\text{kg}\) disc moving in uniform circular motion on the table, which stretches the spring by \(0.03~\text m.\) Friction is negligible.

What is the work done on the disc by the spring during one full circle?
1. \(0~\text J\) 2. \(94~\text J\)
3. \(186~\text J\) 4. \(314~\text J\)
Subtopic:  Concept of Work |
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A body constrained to move in \(y\)-direction is subjected to a force given by \(\vec F=(-2\hat i+15\hat j+6\hat k)\text{ N}.\) The work done by this force in moving the body a distance of \(10\text{ m}\) along the \(y\)-axis is:
1. \(20\text{ J}\)

2. \(150\text{ J}\)

3. \(60\text{ J}\)

4. \(190\text{ J}\)

Subtopic:  Concept of Work |
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In which of the following figures, the work done by force \(F\) in displacing an object through distance \(d\) is positive? (\(\theta\) is the angle between \(F\) and \(d\))
1. 2.
3. 4.
Subtopic:  Concept of Work |
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A ball of mass \(2~\text{kg}\) is tied to a \(0.80~\text m\) long string and whirled at a constant speed of \(6~\text{m/s} \) in a horizontal circular path. What is the net work done on the ball during one complete revolution?
1. \(450~\text J\) 2. \(90~\text J\)
3. \(72~\text J\) 4. \(0~\text{J}\)
Subtopic:  Concept of Work |
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It is well known that a raindrop falls under the influence of the downward gravitational force and the opposing resistive force. The latter is known to be proportional to the speed of the drop but is otherwise undetermined. Consider a drop of mass \(1.00\) g falling from a height of \(1.00\) km. It hits the ground with a speed of \(50.0\) m/s. Work done by the gravitational force and work done by the unknown resistive force respectively are:

1. \(-8.75\) J and \(10\) J 2. \(10\) J and \(-8.75\) J
3. \(0\) J and \(2.26\) J 4. \(-10\) J and \(-10\) J
Subtopic:  Work Energy Theorem |
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The system of blocks, connected by an ideal horizontal string, lies at rest on a smooth horizontal surface. A constant force \(F (=10\sqrt2~\text N)\) acts on the \(2~\text{kg}\) block, at an angle of \(45^\circ\) above the horizontal. The system undergoes a displacement of \(2~\text m.\) Match the quantities mentioned in Column I with their values (SI) in Column II. Take \(g=10~\text{m/s}^2.\)
Column I Column II
\(\mathrm{(A)}\) Work done by force \(F\) on \(2~\text{kg}\) block \(\mathrm{(I)}\) \(20\sqrt2\)
\(\mathrm{(B)}\) Work done by tension \((T)\) on \(2~\text{kg}\) block \(\mathrm{(II)}\) \(12\)
\(\mathrm{(C)}\) Power due to force \(F,\) finally \(\mathrm{(III)}\) \(20\)
\(\mathrm{(D)}\) Final kinetic energy of \(3~\text{kg}\) block \(\mathrm{(IV)}\) \(-12\)
 
1. A-II, B-II, C-III, D-I
2. A-III, B-IV, C-I, D-II
3. A-I, B-IV, C-III, D-II
4. A-II, B-IV, C-I, D-III
Subtopic:  Power |
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