A cart running on frictionless air tracks is propelled by a stream of water expelled hy a gas-powered pressure washer stationed on the cart. There is a 1,00-m3 water tank on the cart to provide the water for the pressure washer. The mass of the cart, including the operator riding it, the pressure washer with its fuel, and the empty water tank, is 400. kg. The water can be directed, by switching a valve, either backward or forward. In both directions, the pressure washer ejects 200. L of water per min with a muzzle velocity of 25.0 m/s.
a) If the cart starts from rest, after what time should the valve be switched from backward (forward thrust) to forward (backward thrust) for the cart to end up at rest?
b) What is the mass of the cart at that time, and what is its velocity? (Hint: It is safe to neglect the decrease in mass due to the gas consumption of the gas-powered pressure washer!)
c) What is the thrust of this “rocket”?
d) What is the acceleration of the cart immediately before the valve is switched?
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