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 10*m* 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, *m*_{1} and *m*_{2} , moving in the same straight line at velocities +3 *m*/*s* and –5 *m*/*s *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*/*r*^{2}, 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 $\mathit{F}=-k(y\mathit{i}+x\mathit{j})$ (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. $-\mathrm{2k}{a}^{2}$

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

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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