Question

An automobile vehicle has a mass of 1500 kg. What must be the force between the vehicle and road if the vehicle is to be stopped with a negative acceleration of $2m.{s^{ - 2}}$ ?

Answer 1

In order to this question, to find the force between the vehicle and road if the vehicle is to be stopped with a negative acceleration of $2m.{s^{ - 2}}$ , We will apply Newton’s second law of motion. And we will also discuss the exact meaning of negative acceleration.

Complete step by step solution:
Given that-
Mass of the automobile vehicle, $m = 1500kg$
Final velocity, $v = 0$ (finally the auto-mobile stops)
Acceleration of the automobile, $a = 2m.{s^{ - 2}}$
We need to find the force between the vehicle and the road if the vehicle is to be stopped with a negative acceleration of $- 2m.{s^{ - 2}}$ .
By using Newton’s second law of motion:-
$\therefore Force = mass \times acceleration \\\ \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 1500 \times ( - 2) = - 3000N \\\$
Hence, the force between the automobile and the road is $- 3000N$ , in the opposite direction of the auto-mobile’s motion.

Additional Information:- The behaviour of objects for which all existing forces are not balanced is described by Newton's second law of motion. The second rule states that an object's acceleration is determined by two factors: the net force acting on the body and the mass of the body.

Note: Negative acceleration merely denotes the direction of acceleration and might indicate whether an object is speeding up or slowing down. Slowing is defined as an item travelling at a positive velocity with a negative acceleration.