basketball (hollow sphere) starts from rest and rolls down a hill without slipping. The hill is 70 meter high. Total mechanical energy is conserved. Find the linear speed of the basketball at the bottom in m/s.

A bowling ball of mass 7.26 kg and radius 10.3 cm rolls without slipping down a lane at 3.00 m/s. Calculate its total kinetic energy.   Express your answer using three significant figures and include the appropriate units.

A merry-go-round has a mass of 1450 kgkg and a radius of 7.50 mm . How much net work is required to accelerate it from rest to a rotation rate of 1.00 revolution per 8.10 ss ? Assume it is a solid cylinder.

A wheel with rotational inertia 46 kg.m2 is mounted on a fixed, frictionless axle. The angular speed of the wheel is increased from zero to 43 rad/s in 19-s. What is the AVERAGE power input to the wheel during this time interval?

What is the final speed in m/s of a solid cylinder that rolls down a 56.202 meter high ramp.  The cylinder starts from rest and has a mass of 1.037 kg and a radius of 2.543 meters.

A disk of mass 3.8 kg and radius 0.17 m starts at the bottom of a 25 degree incline. It'stranslational velocity is 16 m/s. How far along the incline does it roll before coming to astop?

A 34 kg hoop of radius 1.3 m, initially rotating at 301 revolutions per minute, is brought smoothly to a stop in 20 s. What is the average power (in Watts) associated with the force that brings the hoop to a stop?

A 34.0 kg wheel, essentially a thin hoop with radius 1.50 m, is rotating at 250 rev/min. It must be brought to a stop in 11 s. How much work must be done to stop it? What is the required average power?

A clay cylinder of radius 21 cm on a potter's wheel spins at a constant rate of 15 rev/s. The potter applies a normal force of 15.3 N to the clay with his hands where the coefficient of friction is 0.1 between his hands and the clay. What is the power (in W) that the potter has to deliver to the wheel to keep it rotating at this constant rate?

A car is designed to get its energy from a rotating flywheel (solid disk) with a radius of 2.00 m and a mass of 400 kg. Before a trip, the flywheel is attached to an electric motor, which brings the flywheel's rotational speed up to 4500 rev/min. (a) Find the kinetic energy stored in the flywheel. (b) If the flywheel is to supply energy to the car as would a 20.0-hp motor, find the length of time the car could run before the flywheel would have to be brought back up to speed.