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sweet [91]
2 years ago
13

A car rounds an unbanked curve of radius 65 m. If the coefficient of static friction between the road and car is 0.70, what is t

he maximum speed at which the car can traverse the curve without slipping?
Physics
1 answer:
True [87]2 years ago
3 0

Answer:

v = 21.127 m/s

Explanation:

Let's start off with the equation for centrifugal force:

F = m*v^2 / r

This force has to be equal to the force of friction which is:

F=u * R   (where u = coefficient of friction and R = mass * gravity )

Assumption: The car is travelling on horizontal ground

We can set the above equations equal to one another to get:

(m*v^2)/r = u * (m * 9.81)

here u = 0.7

r = 65

and mass cancels out on each side

Solving for v, we get:

v = 21.127 m/s

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