# 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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The minimum work done in pulling up a block of wood weighing 2 kN for a length of 10m on a smooth plane inclined at an angle of 15° with the horizontal is (given: sin15°=0.2588):
1. 4.36 kJ
2. 5.17 kJ
3. 8.91 kJ
4. 9.82 kJ

Subtopic:  Work done by constant force |
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A spherical ball of mass 20 kg is stationary at the top of a hill of height 100 m. It slides down a smooth surface to the ground, then climbs up another hill of height 30 m and finally slides down to a horizontal base at a height of 20 m above the ground. The velocity attained by the ball is:

1. 10 m/s

2. $10\sqrt{30}$ m/s

3. 40 m/s

4. 20 m/s

Subtopic:  Conservation of Mechanical Energy |
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A quarter horse-power motor runs at a speed of 600 r.p.m. Assuming 40% efficiency, the work done by the motor in one rotation will be:

1. 7.46 J

2. 7400 J

3. 7.46 ergs

4. 74.6 J

Subtopic:  Power |
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Two equal masses, m1 and m2 , moving in the same straight line at velocities +3 m/s and –5 m/respectively, collide elastically. Their velocities after the collision will be:

1. +4 m/s for both

2. –3 m/s and +5 m/s

3. –4 m/s and +4 m/s

4. –5 m/s and +3 m/s

Subtopic:  Collisions |
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A uniform chain of length L and mass M is lying on a smooth table and one third of its length is hanging vertically down over the edge of the table. If g is acceleration due to gravity, the work required to pull the hanging part on the table is:

1. MgL

2. MgL/3

3. MgL/9

4. MgL/18

Subtopic:  Gravitational Potential Energy |
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A particle of mass 'm' is moving in a horizontal circle of radius 'r' under a centripetal force equal to –K/r2, where K is a constant. The total energy of the particle will be:

1. $\frac{K}{2r}$

2. $-\frac{K}{2r}$

3. $-\frac{K}{r}$

4. $\frac{K}{r}$

Subtopic:  Potential Energy: Relation with Force |
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A force $\mathbit{F}=-k\left(y\mathbit{i}+x\mathbit{j}\right)$ (where k is a positive constant) acts on a particle moving in the xy-plane. Starting from the origin, the particle is taken along the positive x-axis to the point (a, 0) and then parallel to the y-axis to the point (a, a). The total work done by the force on the particle is:

1. $-2k{a}^{2}$

2. $2k{a}^{2}$

3. $-k{a}^{2}$

4. $$ka^2$$

Subtopic:  Work Done by Variable Force |
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A lorry and a car moving with the same K.E. are brought to rest by applying the same retarding force, then:

1. Lorry will come to rest in a shorter distance

2. Car will come to rest in a shorter distance

3. Both will come to rest in a same distance

4. None of the above

Subtopic:  Work Energy Theorem |
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The relationship between force and position is shown in the given figure (in a one-dimensional case). The work done by the force in displacing a body from x = 1 cm to x = 5 cm is:

1. 20 ergs

2. 60 ergs

3. 70 ergs

4. 700 ergs

Subtopic:  Work Done by Variable Force |
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