A star is moving towards a moon. It has mass m = 0.22×109 kg andspeed v1 = 2.6×107 m/s at distance R1 = 2.9×107 m from the centerof the moon. The radius of the moon is R = 0.86×107 m. The mass ofthe moon is M = 8.8×1025 kg. no air is around the moon.
a. Calculate the gravitational potential energy PE1 of the starat R1. potential energy is zero at infinity.
b. Calculate the total energy E1 of the star at R1.
c. Calculate the total energy E of the meteoroid at R, thesurface of the moon.
d. Calculate v, the meteoroid’s speed at the moons surface