Question

Calculate the force required to stop a car of mass 1000 kg moving with an acceleration of 5m/s2 and a loaded truck of mass 10,000 kg moving with an acceleration of 2m/s2?

Answer 1

Answer:

5000 N to stop the car and

20000 N to stop the truck.

Explanation:

As per Newton's second law, Force generated by a moving object can be calculated by:

$F =m \times a$

Where m is the mass of object and

a is the acceleration of the moving object.

Now, so as to stop a moving object if we apply the exactly same amount of force in the opposite direction, it will cause the object to stop.

First of all, let us calculate the force generated by the car and truck with certain masses moving with certain acceleration as given in the question statement:

$F_{car} = m_{car} \times a_{car}\\\Rightarrow F_{car} = 1000 \times 5 \\\Rightarrow \bold{F_{car} = 5000\ N}$

$F_{Truck} = m_{Truck} \times a_{Truck}\\\Rightarrow F_{Truck} = 10000 \times 2 \\\Rightarrow \bold{F_{Truck} = 20000\ N}$

Therefore, the answer is:

5000 N to stop the car and

20000 N to stop the truck.