In the figure below, the hanging object has a mass of m₁ = 0.415 kg; the sliding block has a mass of m₂ = 0.760 kg; and the pulley is a hollow cylinder with a mass of M = 0.350 kg, an inner radius of R₁ = 0.020 0 m, and an outer radius of R₂ = 0.0300 m. Assume the mass of the spokes is negligible. The coefficient of kinetic friction between the block and the horizontal surface is 4 = 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 = 0.820 m/s toward the pulley when it passes a reference point on the table. R R (a) Use energy methods to predict its speed after it has moved to a second point, 0.700 m away. m/s (b) Find the angular speed of the pulley at the same moment. rad/s

In the figure below, the hanging object has a mass of m₁ = 0.415 kg; the sliding block has a mass of m₂ = 0.760 kg; and the pulley is a hollow cylinder with a mass of M = 0.350 kg, an inner radius of R₁ = 0.020 0 m, and an outer radius of R₂ = 0.0300 m. Assume the mass of the spokes is negligible. The coefficient of kinetic friction between the block and the horizontal surface is 4 = 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 = 0.820 m/s toward the pulley when it passes a reference point on the table. R R (a) Use energy methods to predict its speed after it has moved to a second point, 0.700 m away. m/s (b) Find the angular speed of the pulley at the same moment. rad/s