Question

A crate of eggs is located on the flat bed of a pickup truck which drives around a curve on a flat road. The curve can be treated as an arc of a circle of radius 44.244.2m. If the coefficient of static friction between the crate and the truck is 0.5160.516, how fast can the truck be moving without the crate sliding?

Answer 1

The speed of the truck is 14.95 m/s.

Step-by-step explanation:

Given that,

Radius = 44.2 m

Coefficient of static friction = 0.516

We need to calculate the speed of the truck

Using relation of frictional force and centripetal force

`(mv^2)/(r)=\mu* m* g`

`v^2=\mu* g* r`

Where, r = radius

g = acceleration due to gravity

v = speed

Put the value into the formula

`v=√(0.516*9.8*44.2)`

`v=14.95\ m/s`

Hence, The speed of the truck is 14.95 m/s.