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

Question

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 %u2218 to the horizontal; the water bounces off at the same relative speed with which it hit the window, as shown in the figure (Figure 1) .

Find an expression for the car's initial acceleration.

Find the maximum speed the car reaches

Explanation / Answer

The applied force on window =>F=dP/dt where P is momentum of water =>F=d(MVo)/dt =Vo dM/dt =>since F=Ma =>Mao = VodM/dt =>ao =(Vo/M)dM/dt =>b) Vmax =Vo

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