Given the mass andradius of the Earth (5.96 x 10 24 kg and 6370 km), (a) calcula

Question

Given the mass andradius of the Earth (5.96 x 1024 kg and 6370 km),
(a) calculate the acceleration of a 300g apple dropped from quiteclose to the earth's surface, using the formula for the universallaw of
gravity.
(b) Calculate the acceleration of the earth toward the apple.
(c) How far would the earth move if the falling lasts for 1 s?Compare this distance to
the diameter of a proton (~10-15m) Given the mass andradius of the Earth (5.96 x 1024 kg and 6370 km),
(a) calculate the acceleration of a 300g apple dropped from quiteclose to the earth's surface, using the formula for the universallaw of
gravity.
(b) Calculate the acceleration of the earth toward the apple.
(c) How far would the earth move if the falling lasts for 1 s?Compare this distance to
the diameter of a proton (~10-15m)

Explanation / Answer

a) a=F/m=GMm/r^2 /m=GM/r^2=g=9,8(m/s^2) b) a'=F/M=Gm/r^2=4,89e-25(m/s^2). c) S=a'*t^2/2=2,44e-25(m)

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