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A small object of mass m moves in a horizontal circle of
Chapter , Problem 68(choose chapter or problem)
A small object of mass m moves in a horizontal circle of radius r on a rough table. It is attached to a horizontal string fixed at the center of the circle. The speed of the object is initially \(v_{0}\). After completing one full trip around the circle, the speed of the object is \(0.5 v_{0}\).
(a) Find the energy dissipated by friction during that one revolution in terms of m, \(v_{0}\) and r.
(b) What is the coefficient of kinetic friction?
(c) How many more revolutions will the object make before coming to rest?
Questions & Answers
QUESTION:
A small object of mass m moves in a horizontal circle of radius r on a rough table. It is attached to a horizontal string fixed at the center of the circle. The speed of the object is initially \(v_{0}\). After completing one full trip around the circle, the speed of the object is \(0.5 v_{0}\).
(a) Find the energy dissipated by friction during that one revolution in terms of m, \(v_{0}\) and r.
(b) What is the coefficient of kinetic friction?
(c) How many more revolutions will the object make before coming to rest?
ANSWER:Step 1 of 4
According to the law of conservation of energy, we have
In this case, external work done
The above equation becomes
Here, 
When the particle is revolving on the table in horizontal circle,
