A mass m moves in a circle on a smooth horizontal plane with velocity v0 at a radius R0. The mass is attached to a string which passes through a smooth hole in the plane as shown. the tension in the string is increased gradually and finally m moves in a circle of radius ${{{R_0}} \over 2}$. The final value of the kinetic energy is

Question

A mass m moves in a circle on a smooth horizontal plane with velocity v₀ at a radius R₀. The mass is attached to a string which passes through a smooth hole in the plane as shown. the tension in the string is increased gradually and finally m moves in a circle of radius ${{{R_0}} \over 2}$.

The final value of the kinetic energy is

2mv$_0^2$

${1 \over 2}$mv$_0^2$

mv$_0^2$

${1 \over 4}$mv$_0^2$

Solution

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