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A solid cylinder and a cylindrical shell have the same mass, same radius, and tu

ID: 1285128 • Letter: A

Question

A solid cylinder and a cylindrical shell have the same mass, same radius, and turn on frictionless, horizontal axles. (The cylindrical shell has light-weight spokes connecting the shell to the axle. A rope is wrapped around each cylinder and tied to a block. The blocks have the same mass and are held the same height above the ground, as shown in the figure (Figure 1) . Both blocks are released simultaneously. The ropes do not slip. By the time the blocks reach the ground, they have transformed identical amounts of __________ energy into __________ energy of the blocks and energy of the cylinders. _________________________________________________________________ But the moment of inertia of a ___________ cylinder is higher than that of a cylinder of the same mass, so more of the energy of the system is _______________ in the form of rotational kinetic energy for the __________ cylinder than for the ___________ one. This leaves less energy ?n the form of translational kinetic energy for the cylinder. But it is the ___________ energy that determines the speed of the block. So the block moves more slowly for the system with the cylinder, and so its block reaches the ground last.

Explanation / Answer

Solution:

1.) Gravitational potensial energy

2.) Trasilational kinetic energy

3.) Rotational kinetic enrgy

4.) Hallow

5.) Solid

6.) Hallow

7.) Solid

8.) Hallow

9.) Rotational Potential

10.) Hallow.

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