Question

An object of 200,000 g is attached to a spring and executes a simple harmonic motion with a period of 0.650 s. If the total energy of the system is 8,700 J, find (a) the maximum speed of the object, (b) the force constant of the spring and (c) the amplitude of the movement.

a |
6.595 m/s, 18.688 N/m, 1.197 m |

b |
9.327 m/s, 12.147 N/m, 0.965 m |

c |
9.327 m/s, 18.688 N/m, 0.965 m |

d |
6.595 m/s, 18.688 N/m, 1.197 m |

Answer #1

Given that

(a) Using energy conservation

(b) Hence spring constant can be given as

(c) The amplitude can be given as

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