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## Homework Statement

A banked curve has been designed so that it is safest for a vehicle going 70 mph. The topography of the land restricts the radius of the road to 300m. Assume mu(static friction) is 0.80 and mu(kinetic friction) is 0.60.

A 5512 lb vehicle travels with a speed of 60 mph on the curve.

1. Calculate the force that the road exerts on the vehicle.

2. Calculate the friction on the tires.

## Homework Equations

F=ma

Centripetal acceleration=v^2/r

## The Attempt at a Solution

converted all mph's given to m/s and converted weight in lbs to N.

tried to find the angle by:

v^2/r=Wsinθ

I came up with 19.45 degrees. This just doesn't seem right, that's an awfully steep bank.

The rest I'm stumped about.