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svetoff [14.1K]

3 years ago

5

At what distance from the Earth’s surface is a 10,000 kg satellite if its potential energy is equal to –5.58 x 1011 J? (choose t

he closest answer)
A 958 km

B 858.km

C 758 km

D 658 km

1 answer:

Maksim231197 [3]3 years ago

3 0

Answer:

Option D

Explanation:

As we know

Gravitational Constant (G) $= 6.67*10^{11}$

Mass of Earth (M) $= 5.98*10^{24}$

Weight of satellite (m) $= 10,000$ Kg

Radius of Earth (R) = $6.378*10^6$

Distance of satellite from Earth = $\frac{GMm}{R} - U$

Substituting the given values, we get

$D=\frac{(-((6.67*10^{11})(5.98*10^{24})(10000))}{(6.378*10^6)} - (-5.58*10^{11})\\\\0.625*10^{3}$ Km

or 635 m

The correct answer is option D

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