Suppose that you lived on a planet with Earth’s mass (5.97×1024 kg) but only half its radius (that is, a radius of 3,189 km instead of 6,378 km). Suppose, too, that your own mass was 75 kg. a. What would your weight be on the surface of this hypothetical planet? (State your answer in both newtons and in pounds.)

b. What would the acceleration due to gravity be on the surface of this made-up planet? (State your answer in newtons per kilogram and compare it to the value on Earth’s surface.)