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A stone is projected from a horizontal plane. It attains maximum height, 'H', and strikes a stationary smooth wall & falls on the ground vertically below the maximum height. Assuming the collision to be elastic, the height of the point on the wall where the ball will strike will be:

1. | \(\frac{H}{2} \) | 2. | \(\frac{H}{4} \) |

3. | \(\frac{3 H}{4} \) | 4. | None of these |

Subtopic: Collisions |

53%

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Potential energy (U) related to coordinates is given by U = 3(x + y). Work done by the conservative force when the particle is going from (0, 0), (2, 3) is:

1. 15 J

2. -15 J

3. 12 J

4. 10 J

Subtopic: Potential Energy: Relation with Force |

70%

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A position dependent force \(F=7-2x+3x^2\) N acts on a small body of mass \(2\) kg and displaces it from \(x = 0\) to \(x = 5\) m. The work done in joule is:

1. | \(70\) | 2. | \(270\) |

3. | \(35\) | 4. | \(135\) |

Subtopic: Work Done by Variable Force |

82%

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Three different objects of mass ${m}_{1},$ ${m}_{2}$ and *m*_{3} are allowed to fall from rest and from the same point ‘*O*’ along three different frictionless paths. The speeds of the three objects, on reaching the ground, will be in the ratio of:

1. | ${m}_{1}:{m}_{2}:{m}_{3}$ | 2. | ${m}_{1}:2{m}_{2}:3{m}_{3}$ |

3. | 1 : 1 : 1 | 4. | $\frac{1}{{m}_{1}}:\frac{1}{{m}_{2}}:\frac{1}{{m}_{3}}$ |

Subtopic: Work Energy Theorem |

79%

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AIIMS - 2002

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A body is thrown vertically up with a certain initial velocity. The potential and the kinetic energy of the body are equal at a point P in its path. If the same body is thrown with double the velocity upwards, the ratio of the potential and the kinetic energies of the body when it crosses at the same point will be:

1. 1:1

2. 1:4

3. 1:7

4. 1:8

Subtopic: Conservation of Mechanical Energy |

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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%

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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%

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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%

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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%

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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%

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