Question

A horizontal rope is attached from a truck to a 1400 kg car. As the truck tows the car on a horizontal straight road, the rope will break if the tension is greater than 2500 N. Ignoring friction, what is the maximum possible acceleration of the truck if the rope does not break?

Answer 1

The maximum possible acceleration of the truck without breaking the rope is 1.79 m/s².

Step-by-step explanation:

To determine the maximum possible acceleration of the truck without breaking the rope, we need to consider the forces acting on the car. The tension in the rope is equal to the force pulling the car, and it must be less than or equal to 2500 N for the rope not to break.

Since the car is on a horizontal road and ignoring friction, the only horizontal force acting on the car is the tension in the rope.

Using Newton's second law of motion, we can write: force = mass x acceleration. Rearranging the equation, acceleration = force / mass.

Therefore, the maximum possible acceleration of the truck is 2500 N / 1400 kg = 1.79 m/s².