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A ball of mass, $m$ is being swung on a string of length, $l$ in a horizontal circle as depicted above. When the ball is swung with velocity, $v$, The tension in the string is equal to, $F$.

If the length of the string is doubled and the ball is swung at the same angle with the same velocity, in terms of the original force, $F$, what is the new tension in the string?

A

$F^\prime=\cfrac{F}{2}$

B

$F^\prime=\cfrac{F}{4}$

C

$F^\prime=F$

D

$F^\prime=2F$

E

$F^\prime=4F$

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