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Q. No.A mass of \(1~\text{kg}\) is kept on a inclined plane with \(30^\circ\) inclination with respect to horizontal plane and it is at rest initially. Then the whole assembly is moved up with constant velocity of \(4~\text{m/s}\). The work done by the frictional force in time \(2~\text{s}\) is: (in J) (Take \(g=10~\text{m/s}^2\))
1. \(20\)
2. \(25\)
3. \(30\)
4. \(10\)
1. \(20\)
2. \(25\)
3. \(30\)
4. \(10\)
Subtopic: Work done by constant force |
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A \(1 ~\text{kg}\) block subjected to two simultaneous forces \((2 \hat{i}+3 \hat{j}+4 \hat{k}) \text{N}\) and \((3 \hat{i}-\hat{j}-2 \hat{k})\text{N}\) is moved a distance of \(25~\text{m}\) along \((3 \hat{{i}}-4 \hat{{j}})\) direction. The work done in this process is: (in J)
1. \(50\)
2. \(35\)
3. \(40\)
4. \(60\)
1. \(50\)
2. \(35\)
3. \(40\)
4. \(60\)
Subtopic: Work done by constant force |
81%
Level 1: 80%+
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A body of mass \(2~\text{kg}\) is moving along \(x\text-\)direction such that its displacement as function of time is given by \(x(t)=\alpha t^2+\beta t+\gamma m,\) where \(\alpha=1 ~\text{m/s}^2\), \(\beta=1~\text{m/s}\) and \(\gamma=1~\text{m}.\) The work done on the body during the time interval \(t= 2~\text{s and}~3~\text{s},\) is: (in J)
1. \(49\)
2. \(42\)
3. \(24\)
4. \(12\)
1. \(49\)
2. \(42\)
3. \(24\)
4. \(12\)
Subtopic: Work done by constant force |
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Level 1: 80%+
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Three masses \(200~\text{kg}\), \(300~\text{kg}\) and \(400~\text{kg}\) are placed at the vertices of an equilateral triangle with sides \(20~\text{m}\). They are rearranged on the vertices of a bigger triangle of side \(25~\text{m}\) and with the same centre. The work done in this process: (in J)
(Gravitational constant \(G=6.7 \times 10^{-11} ~\text{N m}^2/ \text{kg}^2\))
1. \(9.86 \times 10^{-6} \)
2. \( 2.85 \times 10^{-7} \)
3. \(1.74 \times 10^{-7}\)
4. \(4.77 \times 10^{-7}\)
(Gravitational constant \(G=6.7 \times 10^{-11} ~\text{N m}^2/ \text{kg}^2\))
1. \(9.86 \times 10^{-6} \)
2. \( 2.85 \times 10^{-7} \)
3. \(1.74 \times 10^{-7}\)
4. \(4.77 \times 10^{-7}\)
Subtopic: Work done by constant force |
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Level 2: 60%+
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A block of mass \(25~ \text{kg} \) is pulled along a horizontal surface by a force at an angle \(45^\circ\) with the horizontal. The friction coefficient between the block and the surface is \(0.25.\) The block travels at a uniform velocity. The work done by the applied force during a displacement of \(5 ~\text m\) of the block is:
1. \(970~\text{J}\)
2. \(245~\text{J}\)
3. \(735~\text{J}\)
4. \(490~\text{J}\)
1. \(970~\text{J}\)
2. \(245~\text{J}\)
3. \(735~\text{J}\)
4. \(490~\text{J}\)
Subtopic: Work done by constant force |
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A force \(\vec F = 2 \hat i + b \hat j + \hat k\) is applied on a particle and it undergoes a displacement \(\hat i - 2 \hat j - \hat k.\) What will be the value of \(b,\) if work done on the particle is zero
1. \(2\)
2. \(0\)
3. \(\dfrac{1}{3}\)
4. \(\dfrac{1}{2}\)
1. \(2\)
2. \(0\)
3. \(\dfrac{1}{3}\)
4. \(\dfrac{1}{2}\)
Subtopic: Work done by constant force |
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A block of mass \(1~\text{kg}\) is pulled up an inclined plane through a distance of \(10 ~\text m\) along the slope by a force of \(10~\text N\) acting along the incline, as shown. The plane is inclined at \(60^\circ\) to the horizontal and the coefficient of friction is \(\mu=0.1.\) What is the work done against friction during this displacement? (take \(g=10~\text{m/s}^2\))
2. \(5\sqrt3~\text{J}\)
3. \(5~\text{J}\)
4. \((10-5 \sqrt{3})~\text{J}\)
Subtopic: Work done by constant force |
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A force \(\vec{F}=(-x \hat{{i}}+y \hat{j})\) acts on a particle that moves in a straight line from point \(A(1,0) \) to point \(B(0,1).\) The work done by this force during the displacement is (all quantities are in SI units):
| 1. | \(2\) | 2. | \(\dfrac{1}{2}\) |
| 3. | \(1\) | 4. | \(\dfrac{3}{2}\) |
Subtopic: Work done by constant force |
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A block of mass \(m\) is placed on a platform that starts from rest and moves upward with a constant acceleration \(\dfrac {g}{2},\) as shown in the figure.
What is the work done by the normal reaction on the block after a time \(t\)?
1. \(-\dfrac{m g^2t^2}{8}\)
2. \(\dfrac{m g^2t^2}{8}\)
3. \(0\)
4. \(\dfrac{3m g^2t^2}{8}\)
What is the work done by the normal reaction on the block after a time \(t\)?
1. \(-\dfrac{m g^2t^2}{8}\)
2. \(\dfrac{m g^2t^2}{8}\)
3. \(0\)
4. \(\dfrac{3m g^2t^2}{8}\)
Subtopic: Work done by constant force |
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Q. No.
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