Holly puts a box into the trunk of her car. later, she drives around an unbanked curve that has a radius of 48 m. the speed of the car on the curve is 16 m/s, but the box remains stationary relative to the floor of the trunk. determine the minimum coefficient of static friction for the box on the floor of the trunk.

The minimum coefficient of friction is 0.544

Solution:

As per the question:

Radius of the curve, R = 48 m

Speed of the car, v = 16 m/s

To calculate the minimum coefficient of static friction:

The centrifugal force on the box is in the outward direction and is given by:

where

= coefficient of static friction

The net force on the box is zero, since, the box is stationary and is given by: