Select Chapter Topics:

1. | straight line | 2. | circular |

3. | projectile | 4. | can't be determined |

Subtopic: Work Energy Theorem |

63%

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To simulate car accidents, auto manufacturers study the collisions of moving cars with mounted springs of different spring constants. Consider a typical simulation with a car of mass \(1000\) kg moving with a speed \(18.0\) km/h on a smooth road and colliding with a horizontally mounted spring of spring constant \(6.25\times 10^3~{\mathrm{N/m}}\). The maximum compression in the spring is:

1. \(3\) m

2. \(0.2\) m

3. \(1\) m

4. \(2\) m

Subtopic: Elastic Potential Energy |

72%

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To simulate car accidents, auto manufacturers study the collisions of moving cars with mounted springs of different spring constants. Consider a typical simulation with a car of mass \(1000~\text{kg}\) moving with a speed of \(18~\text{km/h}\) on a rough road and colliding with a horizontally mounted spring of spring constant \(2.5\times 10^3~\text{N/m}\)$\mathrm{}$. If the coefficient of friction between road and tyre of the car, \(\mu\), to be \(0.375\). Maximum compression of the spring is:

1. \(3.5~\text{m}\)

2. \(2.0~\text{m}\)

3. \(1.5~\text{m}\)

4. \(2.5~\text{m}\)

Subtopic: Elastic Potential Energy |

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The values of energy required to break one bond in DNA \((10^{-20}~\mathrm{J})\) and the kinetic energy of an air molecule \((10^{-21}~\mathrm{J})\) in eV respectively are:

1. | \(0.6\) eV and \(0.06\) eV |

2. | \(0.006\) eV and \(0.06\) eV |

3. | \(0.06\) eV and \(0.06\) eV |

4. | \(0.06\) eV and \(0.006\) eV |

Subtopic: Concept of Work |

60%

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An elevator can carry a maximum load of \(1800\) kg (elevator + passengers) is moving up with a constant speed of \(2\) m/s. The frictional force opposing the motion is \(4000\) N. The minimum power delivered by the motor to the elevator is:

1. \(59000\) W

2. \(44000\) W

3. \(11000\) W

4. \(22000\) W

Subtopic: Power |

73%

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In a nuclear reactor, a neutron of high speed (typically \(\left(10\right)^{7}\) m/s) must be slowed to \(\left(10\right)^{3}\) m/s so that it can have a high probability of interacting with isotope \(^{235}_{92}U\) and causing it to fission. The material making up the light nuclei, usually heavy water \(\left(D_{2} O\right)\) or graphite, is called a moderator. Find the fraction of the kinetic energy of the neutron lost by it in an elastic collision with light nuclei like deuterium.

1. \(\dfrac{1}{9}\)

2. \(\dfrac{8}{9}\)

3. \(\dfrac{9}{8}\)

4. \(\dfrac{1}{8}\)

Subtopic: Work Energy Theorem |

67%

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Consider the collision depicted in the figure below to be between two billiard balls with equal masses \(m_{1} = m_{2}\). The first ball is called the cue while the second ball is called the target. The billiard player wants to ‘sink’ the target ball in a corner pocket, which is at an angle \(\left(\theta\right)_{2}=37^\circ\). Assume that the collision is elastic and that friction and rotational motion are not important. \(\left(\theta\right)_{1}\) is:

1. \(53^{o}\)

2. \(0^{o}\)

3. \(37^{o}\)

4. \(30^{o}\)

66%

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The value of the daily intake of a human adult $\left({10}^{7}\mathrm{J}\right)$ in kilocalories is:

1. 24 k cal

2. 2.4 kcal

3. 2400 kcal

4. 240 kcal

Subtopic: Concept of Work |

68%

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A bob of mass m is suspended by a light string of length \(L.\) It is imparted a horizontal velocity \(v_0\) at the lowest point \(A\) such that it completes a semi-circular trajectory in the vertical plane with the string becoming slack only on reaching the topmost point, the ratio of the kinetic energies \(\dfrac{K_B}{K_C}\) ${\mathrm{}}_{}$at points \({B}\) and \({C}\) is:

1. | \(1:3\) | 2. | \(3:1\) |

3. | \(1:5\) | 4. | \(5:1\) |

Subtopic: Work Energy Theorem |

77%

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A bob of mass \(m\) is suspended by a light string of length \(L\). It is imparted a horizontal velocity \(v_{0}\) at the lowest point \(A\) such that it completes a semi-circular trajectory in the vertical plane with the string becoming slack only on reaching the topmost point, the horizontal velocity \(v_{0}\) is:

1. \(\sqrt{5 gl}\)

2. \(\sqrt{4 gl}\)

3. \(\sqrt{3 gl}\)

4. \(\sqrt{gl}\)

Subtopic: Work Energy Theorem |

66%

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