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nata0808 [166]
3 years ago
8

You are explaining to your friends why astronauts feel weightless while orbiting in the space shuttle. They ask you to prove thi

s mathematically. Calculate the acceleration of gravity 250 km above the Earth’s surface in terms of g.
(Use Rearth = 6.38x103 km.)
Physics
1 answer:
meriva3 years ago
5 0

Answer:

Explanation:

Force of gravity = GMm/r^2 = ma

a being the acceleration due to gravity at some distance r from the center of the Earth.  I'll use 6400 km for the radius of the Earth so r = 6734 km or 6734000 meters

a = GM/r^2

plugging in G = 6.67 x 10^-11

M is the mass of the Earth = 6 x 10^24

and r is from above

a = 8.825 m/s^2  = 0.9g

so 90% the acceleration of gravity on the surface.

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