Question

o) The acceleration due to gravity on the moon is 1/6 of what it is on Earth. We are going to do clock experiments on the moon. We have one clock that runs because of the oscillation of a ass (m) on an ideal spring (spring constant k), which oscillates with an amplitude A, We have a second clock that runs because of a simple pendulum made of a mass (m) on a wire of length L, which oscillates with an amplitude of 0. Each has a period of 1 second on the Earth, exactly how (be quantitative as well as qualitative) would I need to adjust each so that it has a period of I second on the moon? a) How would I need to change the spring clock? b) How would I need to change the pendulum clock?

Answer 1

a) For spring mass system We von To service 2 both s'muss m and spring constant are independent of acceleration due to - gravity Therefore no adjustment on change needs te be done in the spring clock. b) For pendulum clock Tezen van Toe Ron ve in Tma Te - clock y Lm 2 9L by to make the period of pendulum moon ito length has to be made 1/6 • 3 Isea So on