A stone is tied to a string of length l is whirled in a vertical circle with the other end of the string at the center. At a certain instant of time, the stone is at its lowest position and has a speed u. The magnitude of the change in velocity of string when it is at horizontal position (g being acceleration due to gravity) is:
Text Solution
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When stone is at its lowest position, it has only kinetic energy, given by
At the horizontal position, the total energy is given by
According to conservation of energy,
…(i)
The velocities are shown below
So, the magnitude of change in velocity
[From Equ. (i)]
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