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Physics-

General

Easy

Question

A boy whirl is a stone in a horizontal circle of radius 1.5 m and at height 2.0 m above level ground. The string breaks and the stone flies off tangentially and strikes the ground after traveling a horizontal distance of 10 m. What is the magnitude of the centripetal acceleration of the stone while in circular motion?

$163 m s^{- 2}$
64 $m s^{- 2}$
15.63 $m s^{- 2}$
125 $m s^{- 2}$

The correct answer is: $163 blank m s to the power of negative 2 end exponent$

$t equals square root of fraction numerator 2 h over denominator g end fraction end root equals square root of fraction numerator 2 cross times 2 over denominator 9.8 end fraction end root equals 0.64 blank$ s
$v equals fraction numerator 10 over denominator t end fraction equals 15.62 blank m s to the power of negative 1 end exponent$
$therefore blank a equals fraction numerator v to the power of 2 end exponent over denominator R end fraction equals 163 blank m s to the power of negative 2 end exponent$

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