Solved: A car of mass M is initially at rest on a frictionless surface. A jet of water

Chapter 9, Problem 47

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A car of mass M is initially at rest on a frictionless surface. A jet of water carrying mass at the rate dm/dt and moving horizontally at speed v0 strikes the rear window of the car, which is at 45 to the horizontal; the water bounces off at the same speed, relative to the window, with which it hit (see Fig. 9.26). Find expressions for (a) the cars initial acceleration and (b) the maximum speed it reaches. Note: (b) doesnt require any calculation. It might help to sketch a rough plot (no calculations!) of the cars speed versus time. Figure 9.26 47

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