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

Answer:

The speed of the truck is 14.95 m/s.

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

$\dfrac{mv^2}{r}=\mu\times m\times g$

$v^2=\mu\times g\times r$

Where, r = radius

g = acceleration due to gravity

v = speed

Put the value into the formula

$v=\sqrt{0.516\times9.8\times44.2}$

$v=14.95\ m/s$

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