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(a) What is the length of a simple pendulum that oscillates with a period of 4.0

ID: 1388505 • Letter: #

Question

(a) What is the length of a simple pendulum that oscillates with a period of 4.0 s on Earth, where the acceleration due to gravity is 9.80 m/s2, and on Mars, where the acceleration due to gravity is 3.70 m/s2?


(b) What mass would you need to suspend from a spring with a force constant of 20 N/m in order for the mass-spring system to oscillate with a period of 4.0 s on Earth, where the acceleration due to gravity is 9.80 m/s2, and on Mars, where the acceleration due to gravity is 3.70 m/s2?

LE =? m LM =? m

Explanation / Answer

a) Period T = 2pi*sqrt(L/g). Plug in T and g.
b) Period T = 2pi * sqrt(m/k). Plug in T and k. Notice that g doesn't come into it.