A box rests on the back of a truck. The coefficient of static friction between box and bed of the truck is 0.355.
(a) When the truck accelerates forward, what force accelerates the box?
the inertial force
centripetal force
the friction force
gravity
(b) Find the maximum acceleration the truck can have before the box slides.
m/s2
a: the inertial force
b. 2.94 m/s
(a) When the truck accelerates forward, the force that accelerates the box is the friction force. The friction force arises due to the interaction between the box and the bed of the truck. In this case, since the box is at rest, the static friction force is responsible for keeping the box in place and preventing it from sliding off the truck. Therefore, the correct answer is the friction force.
(b) To find the maximum acceleration the truck can have before the box slides, we can use the concept of static friction. The maximum static friction force can be calculated using the formula:
Maximum static friction force = coefficient of static friction * normal force
In this case, the normal force acting on the box is equal to its weight, which is given by:
Normal force = mass of the box * acceleration due to gravity
Since we want to find the maximum acceleration, we can set up the equation:
Maximum static friction force = mass of the box * maximum acceleration
Rearranging the equation, we get:
Maximum acceleration = Maximum static friction force / mass of the box
From the given information, the coefficient of static friction is 0.355, and we don't have the mass of the box. Therefore, we cannot determine the maximum acceleration without knowing the mass of the box.
To find the maximum acceleration, you would need to know the mass of the box. Once you have that information, you can substitute it into the equation to calculate the maximum acceleration.