A block of mass m moves from point 1 to point 2 at constant speed over the two p

Question

A block of mass m moves from point 1 to point 2 at constant speed over the two paths shown in (Figure 1 ). The coefficient of friction has the constant value mu over the surface. Determine the work you would have to do to move a block of mass m from point 1 to point 2 at constant speed over the path (a). Express your answer in terms of some or all of the variables mu, L, m, and the gravitational acceleration g. Incorrect; Try Again; 2 attempts remaining Determine the work you would have to do to move a block of mass m from point 1 to point 2 at constant speed over the path (b). Express your answer in terms of some or all of the variables mu, L, m, and the gravitational acceleration g.

Explanation / Answer

Mass of the block = m

Coefficient of friction on the surface = µ

Work done in moving a block of mass m in path (a) :

W = F x distance

     = µ x N x distance = µ x m x g x (Sqrt[2]) x l = 1.414 µmgl

Work done in moving a block of mass m in path (b)

W = F x displacement

     = µ x N x distance = µ x m x g x (Sqrt[2]) x l = 1.414 µmgl

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