A curve on a level road has a radius of 75 , | vedclass

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(A) The maximum speed $v$ of a car on a level curved road is given by the formula $v = \sqrt{\mu Rg}$,where $\mu$ is the coefficient of friction,$R$ i

Vedclass · Accepted Answer

$24$

Vedclass · Answer

(A) The maximum speed $v$ of a car on a level curved road is given by the formula $v = \sqrt{\mu Rg}$,where $\mu$ is the coefficient of friction,$R$ is the radius of the curve,and $g$ is the acceleration due to gravity.Since $\mu$ and $g$ are constant,we have $v \propto \sqrt{R}$.Therefore,the ratio of the speeds is $\frac{v_2}{v_1} = \sqrt{\frac{R_2}{R_1}}$.Given $v_1 = 30 \, m/s$,$R_1 = 75 \, m$,and $R_2 = 48 \, m$.Substituting these values: $\frac{v_2}{30} = \sqrt{\frac{48}{75}}$.Simplifying the fraction inside the square root: $\frac{48}{75} = \frac{16}{25}$.So,$\frac{v_2}{30} = \sqrt{\frac{16}{25}} = \frac{4}{5}$.$v_2 = 30 	imes \frac{4}{5} = 6 	imes 4 = 24 \, m/s$.

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