An astronaut is conducting a "swinging" experiment at his space outpost on the Moon. He has a cord, 6.0 m in length and 0.6 cm in diameter. The maximum tension that the cord can support is 600 newtons. His mass is 60 Kg. He plans to swing from the top of a moon crater as shown in the diagram. Assume that his initial velocity from the top of the cliff is zero and there is no friction. Gravity on the moon is one sixth that on the Earth.

a. What will be his horizontal velocity at the bottom of the swing?

b. Will the cord be able to support him at this point in the swing? (Prove it)

c. What diameter of cord of the same material would be necessary to just support him at this point in the swing?

d. If we assume that the cord did break just as he reached to bottom of the swing, what horizontal distance, x(measured from lowest point in swing), will he travel before hitting the surface of the moon?