A rectangular block of mass \(M\), with vertical faces, rolls without resistance along a smooth horizontal plane as shown. The block travels initially at speed \(U_{0}\). At \(t=0\) the block is struck by a liquid jet and its speed begins to slow. Obtain an algebraic expression for the acceleration of the block for \(t>0\). Solve the equation to determine the time at which \(U=0\).

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Mass, M U P A P4.116, P4.117