Question

calculate the kinetic energy, potential Energy and total energy of a satellite of mass 100kg orbiting around the earth in an orbit of radius 100km . given the mass of the earth =6×10^25 kg , radius of the earth =6400km, G=6.67×10^-11 Nm² by Kg‐¹​

Answer 1

Circular orbits arise whenever the gravitational force on a satellite equals the centripetal force needed to move it with uniform circular motion.

Fc = Fg

mv2  =  GMm

rp rp2

v2 =  Gm1

r

Substitute this expression into the formula for kinetic energy.

K = ½m2v2

K = ½m2 ⎛

⎝ Gm1 ⎞

⎠

r

K = ½  Gm1m2

r

Note how similar this new formula is to the gravitational potential energy formula.

K = + ½  Gm1m2

r

Ug = −  Gm1m2

r

K = −½Ug

The kinetic energy of a satellite in a circular orbit is half its gravitational energy and is positive instead of negative. When U and K are combined, their total is half the gravitational potential energy.

E = K + Ug

E = −½Ug + Ug

E = ½Ug

E = −  Gm1m2

2r

Answer 2

here is your answer

K.E.=3.07×10^17J

P.E.= -1.53×10^17J

Total E.= 1.54×10^17J