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A pendulum, consisting of a ball of mass m on a light string of length 1.00 m, is swung back to a 45° angle and released from rest. The ball swings down and, at its lowest point, collides with a block of mass 2m that is on a frictionless horizontal surface. After the collision, the block slides 1.00 m across the frictionless surface and an additional 0.540 m, before coming to rest, across a horizontal surface where the coefficient of friction between the block and the surface is 0.100. Use g = 9.80 m/s2.
(a) What is the block's speed after the collision?
m/s
(b) What is the velocity of the ball immediately after the collision? Use a plus sign if the velocity is in the same direction as the velocity of the ball just before the collision, and a negative sign if the velocity is in the opposite direction as the velocity of the ball just before the collision.
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