Question

Please answer the question for part B.

(a) Your pendulum clock which advances 1.0 s for every complete oscillation of the pendulum is running perfectly on Earth at a site where the magnitude of the acceleration due to gravity is 9.80 m/s2. You send the clock to a location on the Moon where the magnitude of the acceleration due to gravity is 1.65 m/s2. Does the clock run fast or slow on the Moon? O It runs fast. • It runs slow. O Neither, it runs the same as on Earth. (b) If the clock is started at 12:00 noon, what will it read after a time of 18.2 h has elapsed on Earth? Enter the time to the nearest minute. How slow does the clock run on the Moon?: 47 Knowing that the clock is designed to advance by 1.0 s for every oscillation and knowing the actual time elapse for one oscillation, how can we determine the total time elapse and hence the reading on the clock? PM

Answer 1

If then- I be the Time period length of in earth, the Te= pendulam 2 whese ge = 9.80 m/sh. Time period in moon, Tmaanse where , qn = 1.65 m/s2, 1.65 V 9.80 20 ron r ge - Tomar 0.80 Te = 2-4 37 Te. Now , Te = lsec. so, Tmi 2.437 seer ire. the clock is slowes in moon, Now, 2-4 37 see. in earth is similar to see in moon

So I sec. in earth is similas to four sec. in moon 2.437 tous 18-2hs in earth = 18-2 x60 san x60 see. In moon - see 18.2x 60 x 60 - 2.43P 26884.55 see. - 448.08 min . = = 7.468 m Ihs 28 min. In moon it will head 12 = pm & Fas. 28 min, 7:28 pm, The clock suns s et = 0.41 2-47 kimes slowes in the moon.