A ball is initially rolling along the ground with a linear speed of 4.75 meters per second (m/s). It then rolls up a hill. After the ball gets to the top of the hill, its linear speed is reduced to 2.05 m/s. The ball is a hollow sphere, with a moment of inertia given by I = 2MR²/3. Assume the total mechanical energy of the ball is conserved, and it rolls without slipping the whole time. What is the height of the hill, in meters? 2.05 m/s h = ? 4.75 m/s

A thin, hollow sphere of mass 2.30 kg and radius 0.610 m is rolling on a horizontal surface with a constant angular speed of 61.0 rpm. What fraction of the kinetic energy is translational kinetic energy, and what fraction of the kinetic energy is rotational kinetic energy?

A metal can containing condensed mushroom soup has mass 230 g, height 10.6 cm and diameter 6.38 cm. It is placed at rest on its side at the top of a 3.00-m-long incline that is at 26.0° to the horizontal and is then released to roll straight down. It reaches the bottom of the incline after 1.50 s. (a) Assuming mechanical energy conservation, calculate the moment of inertia of the can. I = kg m m² · (b) Which pieces of data, if any, are unnecessary for calculating the solution? (Select all that apply.) the mass of the can the height of the can the angle of the incline the time the can takes to reach the bottom none of these 1 (c) Why can't the moment of inertia be calculated from I = 2 mr² mr2 for the cylindrical can?

In the figure, a wheel of radius 0.234 m is mounted on a frictionless horizontal axis. The rotational inertia of the wheel about the axis is 0.586 kg-m2. A massless cord wrapped around the wheel's circumference is attached to a 4.00 kg box. The system is released from rest.When the box has a kinetic energy of 4.00 J, what are (a) the wheel's rotational kinetic energy and (b) the distance the box has fallen? Assume free-fall acceleration to be equal to 9.81 m/s2. M (a) Number Units (b) Number Units