A body of mass (\(4m\)) is lying in the x-y plane at rest. It suddenly explodes into three pieces. Two pieces, each of mass (\(m\)) move perpendicular to each other with equal speeds (\(u\)). The total kinetic energy generated due to explosion is:

1. | \(mu^2\) | 2. | \(1.5~mu^2\) |

3. | \(2~mu^2\) | 4. | \(3~mu^2\) |

Subtopic: Concept of Work |

61%

From NCERT

AIPMT - 2014

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A uniform force of \((3 \hat{i} + \hat{j})\) newton acts on a particle of mass \(2\) kg. Hence the particle is displaced from position \((2 \hat{i} + \hat{k})\) meter to position \((4 \hat{i} + 3 \hat{j} - \hat{k})\) meter. The work done by the force on the particle is:

1. | \(6\) J | 2. | \(13\) J |

3. | \(15\) J | 4. | \(9\) J |

Subtopic: Concept of Work |

80%

From NCERT

AIPMT - 2013

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A particle of mass m_{1} is moving with a velocity v_{1} and another particle of mass m_{2} is moving with a velocity v_{2}. Both of them have the same momentum, but their kinetic energies are E_{1} and E_{2} respectively. If m_{1} > m_{2} then:

1. $\frac{{\mathrm{E}}_{1}}{{\mathrm{E}}_{2}}=\frac{{\mathrm{m}}_{1}}{{\mathrm{m}}_{2}}$

2. ${\mathrm{E}}_{1}>{\mathrm{E}}_{2}$

3. ${\mathrm{E}}_{1}={\mathrm{E}}_{2}$

4. ${\mathrm{E}}_{1}<{\mathrm{E}}_{2}$

Subtopic: Concept of Work |

72%

From NCERT

AIPMT - 2004

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If the kinetic energy of a body is increased by \(300\)%, then the percentage change in momentum will be:

1. \(100\)%

2. \(150\)%

3. \(265\)%

4. \(73.2\)%

Subtopic: Concept of Work |

74%

From NCERT

AIPMT - 2002

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\(250\) N force is required to raise \(75\) kg mass from a pulley. If the rope is pulled \(12\) m, then the load is lifted to \(3\) m. The efficiency of the pulley system will be:

1. \(25\text{%}\)

2. \(33.3\text{%}\)

3. \(75\text{%}\)

4. \(90\text{%}\)

Subtopic: Concept of Work |

From NCERT

AIPMT - 2001

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The kinetic energy of a person is just half of the kinetic energy of a boy whose mass is just half of that person. If the person increases his speed by \(1~\text{m/s},\) then his kinetic energy equals to that of the boy, then the initial speed of the person was:

1. \(\left( \sqrt{2}+1 \right)~\text{m/s}\)

2. \(\left( 2+\sqrt{2} \right)~\text{m/s}\)

3. \(2\left( 2+\sqrt{2} \right)~\text{m/s}\)

4. none of the above

Subtopic: Concept of Work |

55%

From NCERT

AIPMT - 1999

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