A $1500 k g$ car moving on a flat road negotiates a curve whose radius is $35 m$ . If the coefficient of static friction between the tyres and the dry pavement is $0.5$ . Find the maximum speed, the car can have in order to make the turn successfully.

13.1 m / s

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15.1 m / s

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20 m / s

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25 m / s

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Solution

The correct option is A $13.1 m / s$
$μ m g = \frac{m v^{2}}{r}$
$\Rightarrow v = \sqrt{μ g r}$
$= \sqrt{0.5 \times 9.8 \times 35}$
$= 13.1 m / s$

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A 1500kg car moving on a flat road negotiates a curve whose radius is 35m. If the coefficient of static friction between the tyres and the dry pavement is 0.5. Find the maximum speed, the car can have in order to make the turn successfully.

The correct option is A 13.1 m/sμmg=mv2r⇒v=√μgr=√0.5×9.8×35=13.1m/s

A $1500 k g$ car moving on a flat road negotiates a curve whose radius is $35 m$ . If the coefficient of static friction between the tyres and the dry pavement is $0.5$ . Find the maximum speed, the car can have in order to make the turn successfully.

The correct option is A $13.1 m / s$
$μ m g = \frac{m v^{2}}{r}$
$\Rightarrow v = \sqrt{μ g r}$
$= \sqrt{0.5 \times 9.8 \times 35}$
$= 13.1 m / s$