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 person-1 stands on an elevator moving with an initial velocity of 'v' & upward acceleration 'a'. Another person-2 of the same mass m as person-1 is standing on the same elevator. The work done by the lift on the person-1 as observed by person-2 in time 't' is:

1. $\mathrm{m}\left(\mathrm{g}\right)$ $+$ $\mathrm{a}\left(\mathrm{vt}\right)$ $+$ $\frac{1}{2}{\mathrm{at}}^{2}$

2. $-\mathrm{mg}\left(\mathrm{vt}\right)$ $+$ $\frac{1}{2}{\mathrm{at}}^{2}$

3. 0

4. $\mathrm{ma}\left(\mathrm{vt}\right)$ $+$ $\frac{1}{2}{\mathrm{at}}^{2}$

Subtopic: Work done by constant force |

78%

From NCERT

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A block of mass m is placed in an elevator moving down with an acceleration $\frac{\mathrm{g}}{3}$. The work done by the normal reaction on the block as the elevator moves down through a height h is:

1. $\frac{-2\mathrm{mgh}}{3}$

2. $\frac{-\mathrm{mgh}}{3}$

3. $\frac{2\mathrm{mgh}}{3}$

4. $\frac{\mathrm{mgh}}{3}$

Subtopic: Work done by constant force |

65%

From NCERT

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A particle moves from a point $\left(-2\hat{i}+5\hat{j}\right)$ to $\left(4\hat{j}+3\hat{k}\right)$ when a force of $\left(4\hat{i}+3\hat{j}\right)$ N is applied. How much work has been done by the force?

1. | 8 J | 2. | 11 J |

3. | 5 J | 4. | 2 J |

Subtopic: Work done by constant force |

68%

From NCERT

NEET - 2016

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In the diagram shown, force F acts on the free end of the string. If the weight W moves up slowly by distance h, then work done on the weight by the string holding it will be: (Pulley and string are ideal)

1. Fh

2. 2Fh

3. $\frac{Fh}{2}$

4. 4Fh

Subtopic: Work done by constant force |

67%

From NCERT

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The position of a particle (x) varies with time (t) as \(x = (t - 2)^2\), where x is in meters and t is in seconds. Calculate the work done during t = 0 to t = 4 s if the mass of the particle is 100 g.

1. 0.4 J

2. 0.2 J

3. 0.8 J

4. Zero

Subtopic: Work done by constant force |

61%

From NCERT

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The position-time graph of a particle of mass 2 kg is shown in the figure. Total work done on the particle from t = 0 to t = 4s is:

1. | 8 J | 2. | 4 J |

3. | 0 J | 4. | Can't be determined |

Subtopic: Work done by constant force |

57%

From NCERT

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A bicyclist comes to a skidding stop in \(10\) m. During this process, the force on the bicycle due to the road is \(200\) N is directly opposed to the motion. The work done by the cycle on the road is:

1. | \(+2000\) J | 2. | \(-200\) J |

3. | zero | 4. | \(-20000\) J |

Subtopic: Work done by constant force |

58%

From NCERT

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A cord is used to vertically lower a block of mass m by a distance d at a constant downward acceleration of $\frac{\text{'}\mathrm{g}\text{'}}{4}$. The work done by the chord on the block will be:

1. $\frac{3}{4}$mgd

2. -$\frac{3}{4}$mgd

3. $\frac{1}{4}$mgd

4. -$\frac{1}{4}$mgd

Subtopic: Work done by constant force |

68%

From NCERT

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Forces acting on a particle have magnitudes of 14, 7, and 7 N and act in the direction of vectors \(6\hat{i} + 2\hat{j} + 3\hat{k}\), \(3\hat{i} - 2\hat{j} + 6\hat{k}\), \(2\hat{i} - 3\hat{j} - 6\hat{k}\) respectively. The forces remain constant while the particle is displaced from point A: (2, –1, –3) to B: (5, –1, 1). The coordinates are specified in meters. The work done equal to:

1. | 75 J | 2. | 55 J |

3. | 85 J | 4. | 65 J |

Subtopic: Work done by constant force |

From NCERT

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