A)The mass of the Moon is 7.4 × 1022 kg, its radiusis 1.74 × 103 km, and it has no atmosphere. What is theacceleration (in m/s2) due to gravity at the surface ofthe Moon? (G = 6.67 × 10-11 N ∙m2/kg2)
B)From what height above the surface of the earth should anobject be dropped to initially experience an acceleration of 0.54g?(G = 6.67 × 10-11 N ∙ m2/kg2,Mearth = 5.97 × 1024 kg, Rearth =6.38 × 106 m)
C)A fairground ride spins its occupants inside a flyingsaucer-shaped container. If the horizontal circular path the ridersfollow has an 8.0 m radius, at how many revolutions per minute willthe riders be subjected to a centripetal acceleration whosemagnitude is 1.5 times that due to gravity?
D)An automobile with 0.260 m radius tires travels 83000 kmbefore wearing them out. How many revolutions do the tires make,neglecting any backing up and any change in radius due to wear?