# Question #afcbc

Feb 18, 2017

Newton's 2nd law helps to understand this

#### Explanation:

The force required to stop a vehicle is given by Newton's second law:

$F = m a = m \left(\frac{v - u}{t}\right)$

Where v= final velocity and u= initial velocity. Since our final velocity is nil we can simplify to

$F = - \frac{\text{mu}}{t}$

So the force required to bring an object to a halt in a given time increases as its mass and velocity increase.

Hence a heavy vehicle moving quickly will require a larger force to stop it in the same time compared to a slower, lighter vehicle.