A car of mass 1000 kg moves on a circular track of radius 40 m. If...

A car of mass 1000 kg moves on a circular track of radius 40 m. If the coefficient of friction is 1.28. The maximum velocity with which the car can be moved, is

Options

A $22.4 \mathrm{~m} / \mathrm{s}$
B $112 \mathrm{~m} / \mathrm{s}$
C $\frac{0.64 \times 40}{1000 \times 100} \mathrm{~m} / \mathrm{s}$
D $1000 \mathrm{~m} / \mathrm{s}$

Correct answer

A. $22.4 \mathrm{~m} / \mathrm{s}$

Step-by-step solution

\begin{aligned} & \text{ The maximum velocity } v_{\max }=\sqrt{\mu r g} \\ & =\sqrt{1.28 \times 40 \times 9.8} \\ & =22.4 \mathrm{ m} / \mathrm{s} \\ & \end{aligned}

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