*Try to include a diagram, if possible!*

1) An asteroid of mass m = 5.7 x 10^18 kg has entered into an orbit of r = 8.84 x 10^8 m around the earth (M = 5.97 x 10^24 kg).

a) Find the gravitational force acting on the asteroid by the earth. (2 marks)

b) What is the orbital speed of the asteroid? (1 mark)

c) In its orbit around the earth, the asteroid will pass by the moon (M = 7.4 x10^22 kg)

which will be at a minimum distance of r = 5.00 x 10^8 m away. What force of gravity

does the asteroid feel from the moon at this point? (2 marks)

d) Would this interaction with the moon affect the motion of the asteroid? Explain using the universal law of gravity and centripetal force. (2 marks)