# A 1200 kg car is pulling a 500-kg trailer along level ground. Friction is negligible. The car...

## Question:

A 1200 kg car is pulling a 500-kg trailer along level ground. Friction is negligible. The car accelerates with an acceleration of 1.3 m/s squared. What is the force exerted by the car on the trailer?

## Newton relation between the force and the acceleration :

Newton was very curious in order to derive a relation between the force and the acceleration of the object and its second law he establishes a relation between the force and the acceleration according to which if a force is exerted on an object then it will be equal to the mass time acceleration where acceleration is in the direction of applied force.

Given:

Mass of the car is {eq}m_1=1200\ kg {/eq}

Mass of the trailer is {eq}m_2=500\ kg {/eq}

Acceleration of the car is {eq}a=1.3\ m/s^2 {/eq}

According to the newton second law:

{eq}F=ma {/eq}

Since force exerted by the car has to be calculated we will take the mass of the trailer only to calculate force:

{eq}F=m_2\times a\\ F=500\times 1.3\\ F=650\ N {/eq}

Thus, the force exerted by the car on the trailer is 650 N