Beings on spherical asteroid have observed that a large rock is approaching their asteroid in a collision course. at 7514 km from the center of the asteroid, the rock has a speed of 136.0 m/s and later at 2823 km it speed has a of 392.0 m/s. use energy conservation to find the mass of asteroid it. you can neglect any effects due to the parent star of the asteroid. (g = 6.67 times 10^-11 n. m^2/kg^2)

a. 6.112 times 10^28 kg
b. 4.582 times 10^20 kg
c. 4.582 times 10^21 kg
d. 9.164 times 10^27 kg.