# Force Formula

The concept of Force is quite tricky for many students. What they do know is that it's some form of energy, and the word push and pull are also related to it, but they don't know what exactly the word force means.

In simple words, Force can be defined as the external agency which makes the body change its state, size, position under strain. It is denoted by F.

In general, the formula for force is given by

$F=m\times a$

Where m = mass

a = acceleration.

It is expressed in Newton (N) or Kgm/s^{2}.

Acceleration a is given by

$a=\frac{v}{t}$

Where v = Velocity and

t = time taken

So Force can be given as

$F=\frac{mv}{t}$

Momentum is given by p = mv can also be called as inertia formula

Hence Force can be given as rate of change of momentum.

$F=\frac{p}{t}=\frac{dp}{dt}$

Force formulas are helpful in finding out the force, mass, acceleration, momentum, velocity in any given problem.

## Force Problems

Below are given some problems based on force which may be helpful to you to get an idea that where exactly you can use this formula.

## Solved Examples

**Question 1:** Jacob is having a toy car of mass 1,5kg. How much force should he put on the car so that it should move with the acceleration of 7m/s^{2}?

Solution:

Given: Mass of toy car m = 1,5 Kg,

Acceleration a = 7m/s^{2},

Force to be applied by aimmee is given by F = m * a

= 1,5 Kg * 7 m/s^{2}

= 10.5 Kgm/s^{2}

= 10.5 N.

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