- The term mass is used for how much matter an object under consideration has. Mass is the measure of the inertia of an object
- The mass contained in a body is denoted by letter M or m
- Mass is a scalar quantity as it has magnitude only but no direction
- The SI unit of mass is Kilogram (Kg).

$\text{Mass} = \text{Volume} \times \text{density}$

or

$m= V \times \rho$

Where

m -> Mass of the Body

V-> Volume of the body

$\rho$ -> Density of the body

$\text{Mass}= \frac {\text{force}}{\text{acceleration}}$

or

$m = \frac {F}{a}$

where

F -> Force on the body

a -> Acceleration of the Body

m -> mass of the body

$W= mg$

Where

W -> Weight of the body

m -> mass of the body

g -> Acceleration due to gravity

- Enter the values of the two known variables in the text boxes

- Leave the text box empty for the variable you want to solve for

- Click on the calculate button.

$m=V \times \rho$

Calculate the Mass of the body having volume 1000m

Given ,m=?, V=1000m

Mass is given by the formula

$m= V \times \rho = 1000 \times 25 = 25000 \ kg$

A object has density as $20 \ kg/m^3$. The mass is 2 kg. Find the Volume.

Given , m= 2 kg, V=?, $\rho=20 \ kg/m^3$

Density is given by

$\rho = \frac {mass}{Volume} = \frac {m}{V}$

Rearranging this $V = \frac {m}{\rho} = \frac {2}{20} = .1 \ m^3 $

$m = \rho \times V$

2. If mass and volume given

$\rho =\frac {m}{V}$

3. If mass and density are given

$V= \frac {m}{ \rho}$

- Enter the values of the two known variables in the text boxes

- Leave the text box empty for the variable you want to solve for

- Click on the calculate button.

$m=\frac {F}{a}$

A Body is acted by the force of 8 N and it start moving with the acceleration 2 m/s

m = ?, a =2 m/s

Now as per Mass formula

$m= \frac {F}{a} = \frac {8}{2}= 4 \ kg$

A Force of 20 N acts on the body of mass 10 kg.Find the acceleration of the body.

m = 10 kg, a =? , F=20 N

Now as per Newton second law formula

$f=ma$

or

$a = \frac {F}{m} = \frac {20}{10} = 2 \ m/s^2$

$m = \frac {F}{a}$

2. If mass and acceleration are given, Force is calculated as

$F= ma$

3. If mass and force are given, acceleration is calculated as

$a= \frac {F}{m}$

- Enter the values of the two known variables in the text boxes

- Leave the text box empty for the variable you want to solve for

- Click on the calculate button.

$m=\frac {W}{g}$

A person has weight has 686 N on the surface of the earth .Acceleration due to gravity at that point is 9.8 m/s

m = ?, g =9.8 m/s

Now as per Mass formula

$m= \frac {W}{g} = \frac {686}{9.8}= 76 \ kg$

The gravity of Jupiter is about 26 m/s

m = 100 kg, g =26 m/s

Now as Weight formula

$W=mg = 100 \times 26 = 2600 \ N$

$m = \frac {W}{g}$

2. If mass and acceleration due to gravity are given, Weight is calculated as

$W= mg$

3. If mass and Weight are given, acceleration due to gravity is calculated as

$g= \frac {W}{m}$

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