Tamsen and Vera imagine visiting another planet, planet X, whose gravitational a

Question

Tamsen and Vera imagine visiting another planet, planet X, whose gravitational acceleration, gX, is different from that of Earth's. They envision a pendulum, whose period on Earth is 2.243 s, that is set in motion on planet X, and the period is measured to be 1.510 s. What is the ratio of gX/gEarth? Neglect any effects caused by air resistance. (gx/ge= --------?) if the average density of planet x is equal to earthes average density, PE, what is the ratio of Rx/Re, where Re is the mean radius of earth?(assume both planets are spherical. recall that P= m/v and Vsphere= 4/3 pi r^3.) (Rx/Re=--------- ?)

Explanation / Answer

acceleration due to gravity g= Gm/R2

by given data

1)the ratio of gx/ge= (te/tx)2

                             = (2.243/.510)2

                             = 2.20

2) the ratio of   Rx/Re= sqrt(ge/gx)

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