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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
Engineering
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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