Question

A box rests on the back of a truck. The coefficient of friction between the box and the surface is 0.32. (3 marks) a. When the truck accelerates forward, what force accelerates the box? b. Find the maximum acceleration the truck can have before the box slides.

Answer 1

The force that accelerates the box when the truck moves forward is the force of static friction. The maximum acceleration the truck can have before the box slides can be found using the equation: max acceleration = coefficient of friction x acceleration due to gravity.

Step-by-step explanation:

When the truck accelerates forward, the force that accelerates the box is the force of static friction between the box and the surface of the truck bed. This force opposes the motion of the box and allows it to stay in place on the truck.

The maximum acceleration the truck can have before the box slides can be found using the equation:

max acceleration = coefficient of friction x acceleration due to gravity

Using the given coefficient of friction between the box and the surface, you can substitute the value and solve for the maximum acceleration.

Answer 2

Part a)

here friction force will accelerate the box in forward direction

Part b)

a = 3.14 m/s/s

Step-by-step explanation:

Part a)

When truck accelerates forward direction then the box placed on the truck will also move with the truck in same direction

Here if they both moves together with same acceleration then the force on the box is due to friction force between the box and the surface of the truck

So here friction force will accelerate the box in forward direction

Part b)

The maximum value of friction force on the box is known as limiting friction

it is given by the formula

`F = \mu mg`

so we have

`F = ma = \mu mg`

now the acceleration is given as

`a = \mu g`

`a = (0.32)(9.8) = 3.14 m/s^2`