uniform ball of radius 0.1 m and mass 1 kg is released from rest on a no-slip surface, as shown in the figure, at a height of 2m. a. If the ball’s speed at the bottom is 5.29 m/s, what is its rotational kinetic energy? b. What is its translational kinetic energy? c. If there were no friction, what speed would it reach the bottom with?

Two spheres of equal mass and radius arerolling across the floor with the same speed. Sphere 1 is a uniformsolid; sphere 2 is hollow. Is the work required to stop sphere 1greater than, less than, or equal to the work required to stop sphere2? (b) Choose the best explanation from among the following:I. Sphere 2 has the greater moment of inertia and hence thegreater rotational kinetic energy.II. The spheres have equal mass and speed; therefore, they havethe same kinetic energy.III. The hollow sphere has less kinetic energy.

The paths of two small satellites, X and Y, of equal mass of 4.00 kg each, are shown below. They orbit around a massive star, as illustrated, with M = 6.20x1029 kg The orbits are in the plane of the paper and are drawn to scale. %3D a C In the statements below KE is kinetic energy, PE is potential energy, and L is magnitude of the angular momentum. At a, the PE of X is .... that of Y. v The speed of Y at c is .... that at a The L of X at p is .... that at u. At a, the KE of X is .... that of Y. The PE of Y at c is .... the PE of X at w Submit Answer Tries 0/12 Send Feedb

7. You are asked to design a turntable that is 55.8 cm in diameter that has a kinetic energy of 0.250 J when it is turning at 45.0 rev/min. a. What must its moment of inertia be? b. If you make the turntable in the shape of a uniform solid disk, what mass would it have?

For a machine with 35-cm-diameter wheels, what rotational frequency (in rpm) do the wheels need to pitch a 95 mph fastball? The answer is NOT 2020.81

4. A pinball of mass M and radius R is pushed against a spring of spring constant k. The spring is compressed a distance D and the pinball machine ramp is inclined at an angle 0. The spring is then released. The pinball is a solid metal sphere that rolls without slipping. a. Determine the speed of the pinball as it leaves the spring. Hint: the spring force is not constant so you cannot use constant acceleration kinematics. Use conservation of mechanical energy instead. b. What is the distance that the pinball would go up the ramp before coming back down?

Two objects, a sphere and a block of the same mass, are released from rest at the top of an inclined plane. The sphere rolls down the inclined plane without slipping. The block slides down the plane without friction. Which object reaches the bottom of the ramp first? A. The sphere, because it gains rotational kinetic energy, but the block does notB. The sphere, because it gains mechanical energy due to the torque exerted on it, but the block does notC. The block, because it does not lose mechanical energy due to friction, but the sphere doesD. The block, because it does not gain rotational kinetic energy, but the sphere does

2a. 2b. 2c. Define center of mass, rem and rotational inertia I State the parallel axis theorem for rotational inertia. Consider a rigid structure made up of a solid sphere of mass ms and a solid cylinder of mass me connected by a solid rod of mass mr (see figure 2). Suppose this system is set into a rotational motion through the center of mass perpendicular to the z axis of the system. Find the rotational inertia of the system. ms 码a.

Shown is the angular position of a potter’s wheel.a. What is the angular displacement of the wheel between t = 5 s and t = 15 s?b. What is the angular velocity of the wheel at t = 15 s?c. What is the maximum speed of a point on the outside of the wheel, 15 cm from the axle?

A hollow sphere rolls without slipping down a ramp that is 3.5 m long. the ramp is inclined at an angle of 20˚ with the horizontal. Use the conservation of energy to find the speed of the sphere at the bottom of the slope if it starts from rest. ( I= 2/3 m R2 )