A hoop with a mass of 3.15 kg starts from rest at the top of a...

A hoop with a mass of 3.15 kg starts from rest at the top of a ramp. The ramp is 5.0 m long and 2.1 m high. What is the rotational kinetic energy of the hoop after it has rolled without slipping to the bottom?

16 J

32 J

22 J

78 J

Expert Solution

As the hoop rolls down the gravitational potential energy is converted to rotational kinetic energy and translational kinetic energy . As the hoop radius is not given , we can only find KErotational by deducing the KEtranslational from mgh.

Although v and r are not given , By solving the equation we can obtain that v=√gh .From this KEtranslational can be determined and thereby the rotational kinetic energy can be found.

The rotational kinetic energy of the hoop=32J

genius_generous answered 2 years ago

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