A 1287-kg car and a 2270-kg pickup truck approach a curve on the expressway that

Question

A 1287-kg car and a 2270-kg pickup truck approach a curve on the expressway that has a radius of 234m .

1.At what angle should the highway engineer bank this curve so that vehicles traveling at 61.3 mi/hr can safely round it regardless of the condition of their tires?
Answer: angle =18.1 degrees.

2.Should the heavy truck go slower than the lighter car?
Answer= yes

3.As the car and truck round the curve at 61.3 mi/hr, find the normal force on the car to the highway surface.
Answer=????

4.As the car and truck round the curve at 61.3 mi/hr, find the normal force on the truck to the highway surface.
Answer=???

Please help with number 3&4!!

Explanation / Answer

3) Normal force applied by the car on road N = mgcos? = 1287*9.8*cos 18.1 = 11988.47472 N 4) Normal force applied by the truck on road N = mgcos? = 2270*9.8*cos18.1 = 21145.17297 N

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