Application Questions When you jump in the air, the Earth exerts a gravitational

Question

Application Questions When you jump in the air, the Earth exerts a gravitational force on you. Newton's Third Law says that you exert an equal force on the Earth. 1. Find the gravitational force between yourself and the Earth when you are standing on the ground. (Mas of the Earth M = 5.97 x1024 kg, radius of the Earth R-637x 10° m, G = 6.67 × 10-11m) [4 pts] Mm grav 6 .37 x 10 ma 2. Find the acceleration you feel as a result ofthisforce: 3pts 3. Find the acceleration of the Earth due to this force: [3 pts)

Explanation / Answer

f = GMm/r^2

f = 6.67*10^-11*5.97*10^24*60 /(6.37*10^6)^2

f = 588.8 N

b) a = 588.8/60 = 9.81 m.s^2

c) aearth = 588.8/5.97*10^24 = 9.86*10^-23 m/s^2

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