Question

a) show that the total energy of a satellite in a circular orbitabout Earth is equal to half of the potential energy.

b) A projectile is fired straight up from the south pole of theEarth with an initial speed v_i=15km/s. Find the speed ofthe projectile when it is very far from Earth, neglecting effectsdue to air resestance.

c) A projector is fired straight up from the south pole of theEarth with an initial speed v_i= 8.0km/s. Find themaximum height it reaches, neglecting effects due to airresistance.

Please explain and show work. I need to understand this.Thanks