In the figure below, the hanging object has a mass of
*m*_{1} = 0.360 kg; the sliding block has a mass of
*m*_{2} = 0.895 kg; and the pulley is a hollow
cylinder with a mass of *M* = 0.350 kg, an inner radius of
*R*_{1} = 0.020 0 m, and an outer radius of
*R*_{2} = 0.030 0 m. Assume the mass of the spokes
is negligible. The coefficient of kinetic friction between the
block and the horizontal surface is *μ*_{k} = 0.250.
The pulley turns without friction on its axle. The light cord does
not stretch and does not slip on the pulley. The block has a
velocity of *v*_{i} = 0.820 m/s toward the pulley
when it passes a reference point on the table.

(a) Use energy methods to predict its speed after it has moved to a second point, 0.700 m away. (in m/s)

(b) Find the angular speed of the pulley at the same moment. (in rad/s)

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