The Army of the Nation of Whynot has a plan to propel small vehicles across the battlefield?

The Army of the Nation of Whynot has a plan to propel small vehicles across the battlefield by shooting them, from behind, with a machine gun. They've hired you as a consultant to help with an upcoming test. A 200 kg test vehicle will roll along frictionless rails. The vehicle has a tall "sail" made of ultrahard steel. Previous tests have shown that a 20.0 g bullet traveling at 400 m/s rebounds from the sail at 100 m/s. The design objective is for the cart to reach a speed of 16.0 m/s in 30.0 s. You need to tell them how many bullets to fire per second from the machine gun. Note that your answer should be a rate, which can be fractional, rather than a quantity, which must be an integer. A five-star general will watch the test, so your ability to get future consulting jobs will depend on the outcome.

Asked By: MJ - 3/8/2008
Best Answer - Chosen by Asker
Assuming that the bullets do not lose speed as they travel through the air - a highly questionable assumption for bullets traveling at supersonic speed - and assuming that the bullets rebound at 100 m/s with respect to the sail even if they hit the sail at somewhat less than 400 m/s - another somewhat questionable... More
Answered By: devilsadvocate1728 - 3/8/2008
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