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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 |

87%

From NCERT

PMT - 1992

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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 \(15^\circ\) with the horizontal is (given: \(\mathrm{sin}15^\circ=0.2588)\):

1. \(4.36\) kJ

2. \(5.17\) kJ

3. \(8.91\) kJ

4. \(9.82\) kJ

Subtopic: Work done by constant force |

79%

From NCERT

PMT - 2003

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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. | \(10 \mathrm{~m} / \mathrm{s} \) | 2. | \(10 \sqrt{30} \mathrm{~m} / \mathrm{s} \) |

3. | \(40 \mathrm{~m} / \mathrm{s} \) | 4. | \(20 \mathrm{~m} / \mathrm{s}\) |

Subtopic: Conservation of Mechanical Energy |

61%

From NCERT

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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 |

54%

From NCERT

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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 |

81%

From NCERT

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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 |

72%

From NCERT

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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 |

58%

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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 |

56%

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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 |

64%

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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 |

83%

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