Drum m
Engineers are designing a system
by which a falling mass m imparts
kinetic energy to a rotating uniform
drum to which it is attached by thin,
very light wire wrapped around the rim
of the drum (Fig.). There is no
appreciable friction in the axle of the
drum, and everything starts from rest.
This system is being tested on earth, but
it is to be used on Mars, where the acceleration
due to gravity is 3.71 m/s2. In
the earth tests, when m is set to 15.0 kg
and allowed to fall through 5.00 m, it
gives 250.0 J of kinetic energy to the
drum. (a) If the system is operated on
Mars, through what distance would the
15.0 kg mass have to fall to give the same amount of kinetic energy to
the drum? (b) How fast would the 15.0 kg mass be moving on Mars just
as the drum gained 250.0 J of kinetic energy?
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