Question

1) A space shuttle without fuel weighs 75,000 kg. The international space station is 408 km in the sky. It will reach this altitude in roughly 450 seconds. Neglecting the weight of fuel (which is a complex calculation as it is used up by the flight), as well as any reduction to the force of gravity at that height, calculate: (A) The potential energy of the space shuttle at the height of the ISS (B) the work needed to get it to that height (C) the minimum force needed to get it to that height (neglect any changes in this force) (D) the power necessary to lift the shuttle in that amount of time.

2) One 30-gram serving of Cheez-its is shown to contain 150 calories. (A) If the amount of nutritional (chemical) energy in that 30-gram serving of Cheez-its were entirely converted into mechanical energy by a machine, how high could that machine lift a second 30-gram serving of Cheez-its into the air against the weight of gravity? (B) If that energy were instead converted inside a different machine that fired a third 30-gram serving of Cheez-its in a horizontal line, what initial horizontal velocity would those Cheez-its have (assuming they all stayed together)?

Answer 1

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