Question

A satellite is projected from earth surface at 2r height. What are the value of energy to set satellite at earth orbit . satellite mass is m .​

Answer 1

Answer:

PHYSICS

ENERGY OF AN ORBITING SATELLITE

A satellite of mass m orbits the earth at a height h above the surface of the earth. How much energy must be expended to rocket the satellite out of earth's gravitational influence? (where M

E

and R

E

be mass and radius of the earth respectively)

December 26, 2019avatar

Arushi Mishra

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ANSWER

Total energy of orbiting satellite at a height h is E=

2(R

E

+h)

GM

E

m

The total energy of the satellite at infinity is zero.

∴ Energy expended to rocket the satellite out of the earth's gravitational field is ΔE=E

∞

−E

=0−(−

2(R

E

+h)

GM

E

m

)=

2(R

E

+h)

GM

E

m

D