Discover a world of knowledge and community-driven answers at IDNLearn.com today. Get accurate and detailed answers to your questions from our dedicated community members who are always ready to help.

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 the closest answer)



A 958 km

B 858.km

C 758 km

D 658 km


Sagot :

Answer:

Option D

Explanation:

As we know

Gravitational Constant (G) [tex]= 6.67*10^{11}[/tex]

Mass of Earth (M) [tex]= 5.98*10^{24}[/tex]

Weight of satellite (m) [tex]= 10,000[/tex] Kg

Radius of Earth (R) = [tex]6.378*10^6[/tex]

Distance of satellite from Earth = [tex]\frac{GMm}{R} - U[/tex]

Substituting the given values, we get

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

or 635 m

The correct answer is option D