Question

You're driving your pickup truck around a curve that has a radius of 17 m.

Answer 1

Answer:

$v = 10.8 m/s^{2}$

Explanation:

The centripetal force experienced by the steel toolbox is provided by the friction between the toolbox and the bed of the truck.

Therefore,

$\frac{mv^{2} }{r} = f$--------------------------------(1)

Here,

v - speed of truck

m - mass of toolbox

r - radius of curve around which the truck is turning

f - frictional force

$f \leq$ μmg

In order to obtain Vmax, frictional force must also be max

Thus,

f = μmg--------------------------------------------------(2)

Substitute (2) in (1)

$\frac{mv^{2} }{r} =$  μmg

$v^{2} =$   μgr

g - 9.8 m/$s^{2}$

The standard value of coefficient of static friction between steel and steel is

μ ≈ 0.7

Therefore,

$v = 10.8 m/s^{2}$