In Problems 1 and 2 we considered a cylinder and a solid sphere, respectively, rolling down a ramp. (a) Which object do yon expect to have the greater speed at the bottom of the ramp? (b) Verify your answer to part (a) by calculating the speed of the cylinder and of the sphere when they rthe the bottom of the ramp.
Problem 1
A 2.0-kg solid cylinder (radius = 0.10 m, length = 0.50 m) is released from rest at the top of a ramp and allowed to roll without slipping. The ramp is 0.75 m high and 5.0 m long. When the cylinder rthees the bottom of the ramp, what are (a) Its total kinetic energy, (b) its rotational kinetic energy, and (c) its translational kinetic energy?
Problem 2
A 2.5-kg solid sphere (radius = 0.10 m) is released from rest at the top of a ramp and allowed to roll without slipping. The ramp is 0.75 m high and 5.6 m long. When the sphere rthees the bottom of the ramp, what are (a) its total kinetic energy, (b) its rotational kinetic energy, and (c) its translational kinetic energy?
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