Please answer all of the following questions usgin the prompt below
A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant speed of v=
1.06\times 10^(4)(m)/(s). The mass of the planet is M=6.08\times 10^(24)kg. The mass of the satellite is m=4.7\times 10^(3)kg. Part (a)
Enter an expression for the kinetic energy KE of the satellite in terms of m and v. Part (b)
Calculate the value of KE in joules.
Part (c)
Enter an expression for the magnitude of the gravitational force F in terms of M,R,m and the gravitational constant G.
Part (d)
Enter an expression for the centripetal acceleration of the satellite a_(c) in terms of the speed of the satellite, v, and R.
Part (e)
Enter an expression for the radius R in terms of G,M and v.
Part (f)
Calculate the value of R in meters.
Part (g)
Enter an expression for the gravitational potential energy PE in terms of G,M,m, and R.
Part (h)
Calculate the value of PE in joules.
Part (i)
Enter an expression for the total energy E of the satellite in terms of m and v.
Part (j)
Calculate the value of the total energy E in joules.