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Question

Physics Question on laws of motion

A ball of mass 0.25kg0.25\, kg attached to the end of a string of length 1.96m1.96\, m is moving in a horizontal circle. The string will break if the tension is more than 25N25 \,N . What is the maximum speed with which ball can be moved?

A

14m/s14 \,m/s

B

3m/s3 \,m/s

C

3.92m/s3.92 \,m/s

D

5m/s5 \,m/s

Answer

14m/s14 \,m/s

Explanation

Solution

The correct option is(A): __ 14m/s.
Tension of string T=mv2rT=\frac{m v^{2}}{r} 25=0.25×v21.9625 =\frac{0.25 \times v^{2}}{1.96} v=14m/sv =14\, m / s