A 2000 kg truck negotiates a curve of radius 65.0m a. If the coefficient of stat

Question

A 2000 kg truck negotiates a curve of radius 65.0m

a. If the coefficient of static friction between the tires and the dry pavement is 0.950, then what is the maximum speed the truck can travel and still make the curve?

b.Will a truck of mass 4000 kg make the curve at the speed found in part a? explain why or why not.

c. The city wants to redesign the curve by banking it so that an average car of 1500 kg can make the curve on a rainy day (neglecting friction) at a speed of 26.8 m/s. What angle must the curve be banked to allow this?

d. Will the angle found in part c work for a vehicle with mass 4000 kg? If not, what is the maximum speed this car can have and still make the curve? If so, explain why.

Explanation / Answer

(a) let maximum speed is v

v^2/rg=u

we got

v^2=rgu

v=24.6 m/s

(b) As seen it is independent of m so truck of mass 4000 will also cross at the same speed

(c)let the angle is theta

tan(theta)=v^2/rg

we got theta=48.4 degree

(d) Yes

As angle is independent of mass

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