A bowling ball encounters a 0.760-m 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 4.01 m/s at the bottom of the rise. Find the translational speed at the top

A disk of radius R=27 cm released from rest down a ramp. It rolls without slipping and its center of mass goes down by h=0.99 meters when it reaches the ground level. Find the center-of-mass speed of the disk right after it reaches the ground level. Enter your answer in m/s.

One popular design of a household juice machine is a conical, perforated stainless steel basket 3.30 cm high with a closed bottom of diameter 8.00 cm and open top of diameter 13.40 cm that spins at 23000 revolutions per minute about a vertical axis. Solid pieces of fruit are chopped into granules by cutters at the bottom of the spinning cone. Then the fruit granules rapidly make their way to the sloping surface where the juice is extracted to the outside of the cone through the mesh perforations. The dry pulp spirals upward along the slope to be ejected from the top of the cone. The juice is collected in an enclosure immediately surrounding the sloped surface of the cone. Pulp D Motor Spinning basket Juice spout (a) What centripetal acceleration does a bit of fruit experience when it is spinning with the basket at a point midway between the top and bottom? m/s² ---Direction--- (b) Observe that the weight of the fruit is a negligible force. What is the normal force on 1.50 g of fruit at…

A solid ball rolls on a slope from rest starting from a height of H = 7.0 m and then rolls on a horizontal region, as shown in the figure. The horizontal distance of the slope and the distance of the horizontal region are both equal to L = 6.0 m, and the height of the horizontal region is h = 3.0 m. Approximately how far horizontally from point P does the ball hit the floor? The rotational inertia of a solid sphere about any diameter is  ?=25??2I=25MR2 , where M and R are the mass and the radius of the solid sphere, respectively, and the gravitational acceleration is g = 9.8 m/s2.