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2 years ago

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Calculate the force of Earth’s gravity on a spacecraft 2.00 Earth radii above the Earth’s surface (That would be 3.00 Earth radi

i from the center of Earth) if its mass is 1850 kg.
Express your answer to three significant figures and include the appropriate units.

1 answer:

igomit [66]2 years ago

3 0

Answer:

2014.44 N

Explanation:

mass of spacecraft, m = 1850 kg

distance r = 3 x R

where r be the radius of earth.

g be the acceleration due to gravity on the surface of earth and g' be the acceleration due to gravity at height

$\frac{g'}{g}=\left (\frac{R}{r} \right )^{2}$

$\frac{g'}{g}=\left (\frac{R}{3R} \right )^{2}$

g' = g / 9

g' = 9.8 / 9 = 1.089 m/s²

Force of gravity on the space craft

F = m g' = 1850 x 1.089

F = 2014.44 N

Thus, the force of gravity on the space craft at height is 2014.44 N.

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