Quiz11_16solutions - Physics 221 Quiz 11 Spring 2016 Name...

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Physics 221 Quiz 11 Spring 2016 Name & Section Quiz 11A 1. The periods of two pendula, one on Earth and the other on Mars, are the same. If the acceleration due to gravity on Earth and Mars are g E = 9.80 m/s 2 and g M =3.73 m/s 2 , respectively, and the length of the pendulum on Earth is 1.0 m, what is the length of the pendulum on Mars? Solution: T E =2 π ! ! ! ! - the period on Earth T M =2 π ! ! ! ! – the period on Mars T E = T M = 4s= ! ! ! ! = ! ! ! ! = > ࠵? ! = ! ! × ! ! ! ! = 0 . 38 m 2. A 200 g block is attached to a horizontal spring and executes simple harmonic motion with period of 0.25 s. The total energy of the system is 2.0 J. Find: a) the force constant of the spring b) the amplitude of the motion Solution: a) m = 200 g, T = 0.25s, ࠵? = ! ! ! = ! ! ! . !" = 25 . 1 rad/s ࠵? = ࠵? ࠵? ! = 0 . 2 00 ࠵?࠵? × 25 . 1 !"# ! ! = 126 N/m b) ࠵? = ! ! ! ! = > ࠵? = ! ! ! = ! × ! . ! !"# = 0 . 18 m
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