A bowling ball encounters a 0.760 meter vertical rise on the way back to the ball rack, as the drawing illustrates. Ignore frictional losses and assume that the mass of the ball is distributed uniformly. The translational speed of the ball is 8.74 m/s at the bottom of the rise. Evaluate the translational speed at the top.
A 0.64 kilogram metal sphere oscillates at the end of a vertical spring. As the spring stretches from 0.14 to 0.21 meter (relative to its unstrained length), the speed of the sphere decreases from 5.3 to 4.8 m/s. Determine what is the spring constant of the spring?