Question

How much force is needed to accelerate a 2000 kg car at \[5m{\sec ^{ - 2}}\]?

Answer 1

Hint :
1. The change of speed with respect to time is called acceleration.
2. According to Newton's second law the body will only be accelerated upon the action of external unbalanced force.
3. The acceleration of the body depends upon the mass of the body and the magnitude of the force applied to it.

Complete step by step solution:
As we know according to Newton's second law, A body at rest or a body in motion will be on rest or keep on moving till the external force is applied to move the ball or to stop it or change its direction.
Now lets us suppose if a body is in motion and moving in a particular direction with a constant velocity. Now we want to increase its speed or we can say we want to accelerate the body for that we need to apply an external force which will accelerate the body.
Here in this question, we are given a body that is in motion and we need to accelerate it, wo we have to calculate the amount of force required to accelerate the body
As we know the relation between force applied, mass of the body and its acceleration is given by
\[F = ma\]
Where F is the force applied, m is the mass of the body and a is the acceleration
Here we are given
$m = 2000kg$
$a = 5m{\sec ^{ - 2}}$
Substituting values, we get,
$F = 2000 \times 5$
$ \to F = 10000N$
$F = 10kN$

Final answer: The amount of force required to accelerate a body of 2000kg by $5m{\sec ^{ - 2}}$ is 10kN

Note:
The applied force when applied in the same direction as of motion will accelerate the body but if it is applied in the opposite direction as of the motion then it will accelerate the object.
The acceleration of the body directly depends upon the force applied but it inversely depends upon mass of the body i.e., if the body is having greater mass the acceleration will be lower or we can say that more amount of force will be required to accelerate a heavier body a lighter body through same acceleration.