Question

Calculate the magnitude of force required to stop a car moving with a velocity of 30m/s in 10 seconds .The mass of the car is 1,500 kg

Answer 1

Dear Student ,
Here in this question the given data is , mass of the car = 1500 kg, velocity of the car = 30 m/s and time taken ,t=10 seconds.
So , when the car stops the final velocity is zero .
Therefore ,from the equations of motion we get ,
$$\begin{gathered} v=u+at \\ \Rightarrow a=\frac{v-u}{t} \\ \Rightarrow a=\frac{0-30}{10}=-3m/s^2 \\ Herenegativesigndenotesthatafterapplyigforceretardationoccurs. \end{gathered}$$
So the force required to stop the car is ,$F=ma=1500\times 3=4500N$
Regards