The Army of the Nation of Whynot has a plan to propel small vehicles across the
ID: 3899563 • Letter: T
Question
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 200kg test vehicle will roll along frictionless rails. The vehicle has a tall "sail" made of ultrahard steel. Previous tests have shown that a 20.0g bullet traveling at 300m/s rebounds from the sail at 200m/s . The design objective is for the cart to reach a speed of 18.0m/s in 30.0s . 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.
Explanation / Answer
The Army of the nation of Why not should be called the nation of people who don't think.
You didn't give me any units so I can't do this problem or help you out.
but here's something to help you figure it out. You said the bullets rebound (they won't do that but okay)
(Mtest_vehicle*V of test vehicle + Mbullet*Vofbullet) in the inital state = (Mtest_vehicle*V of test vehicle + Mbullet*Vofbullet) in the final state
Vfinal of the test vehicle = V intial +Mbullet(Vi - Vf)/Mtestvehicle
notice this takes on the form of y = mx + b
the slope is 1 and Vinital is x
Now be sure to hit in the center, otherwise you will create a torque and you don't want that.
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