Arturo O. answered • 05/19/16

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(a)

T = 2*pi / omega = 2*pi / sqrt (g/L) = 2 * pi / sqrt (9.8/2) sec = 2.84 sec

(b)

mgh = 0.5 mv^2

gh = 0.5 v^2

v = sqrt(2gh) = sqrt (2 * 9.8 *1.2) m/s = 4.85 m/s

(c)

T = 2*pi / omega = 2*pi / sqrt (g/L)

Replace g with g/6:

T = 2*pi / omega = 2*pi / sqrt [(g/6)/L] = 2.45 * [2*pi / sqrt (g/L)]

Therefore, the period on the moon is 2.45 times the period on the earth.

Kylie H.

05/23/16