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).
Mass can be calculated using Various ways Using Density
$\text{Mass} = \text{Volume} \times \text{density}$
or
$m= V \times \rho$
Where
m -> Mass of the Body
V-> Volume of the body
$\rho$ -> Density of the body Using Newton's Second Law
$\text{Mass}= \frac {\text{force}}{\text{acceleration}}$
or
$m = \frac {F}{a}$
where
F -> Force on the body
a -> Acceleration of the Body
m -> mass of the body Using Weight
$W= mg$
Where
W -> Weight of the body
m -> mass of the body
g -> Acceleration due to gravity
Mass Calculator using Density Formula
Note
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.
Formula used
$m=V \times \rho$
Mass Calculator
Example of Few questions where you can use this Mass Calculator using Density Formula Question 1
Calculate the Mass of the body having volume 1000m3 and density 25 kg/m3 Solution
Given ,m=?, V=1000m3, $\rho =25 \ kg/m^3$
Mass is given by the formula
$m= V \times \rho = 1000 \times 25 = 25000 \ kg$
Question 2
A object has density as $20 \ kg/m^3$. The mass is 2 kg. Find the Volume. Answer
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 $
How the Mass Calculator works
1. If volume and density are given
$m = \rho \times V$
2. If mass and volume given
$\rho =\frac {m}{V}$
3. If mass and density are given
$V= \frac {m}{ \rho}$
Mass Calculator using F=ma
Note
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.
Formula used
$m=\frac {F}{a}$
Mass Calculator
Example of Few questions where you can use this Mass Calculator using F=ma Question 1
A Body is acted by the force of 8 N and it start moving with the acceleration 2 m/s2.Find the mass of the body Solution
m = ?, a =2 m/s2, F=8N
Now as per Mass formula
$m= \frac {F}{a} = \frac {8}{2}= 4 \ kg$
Question 2
A Force of 20 N acts on the body of mass 10 kg.Find the acceleration of the body. Solution
m = 10 kg, a =? , F=20 N
Now as per Newton second law formula
$f=ma$
or
$a = \frac {F}{m} = \frac {20}{10} = 2 \ m/s^2$
How the Mass Calculator using Newton second lawworks
1. If acceleration and force are given, mass is calculated as
$m = \frac {F}{a}$
2. If mass and acceleration are given, Force is calculated as
$F= ma$
3. If mass and force are given, acceleration is calculated as
$a= \frac {F}{m}$
Mass Calculator using Weight Formula
Note
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.
Formula used
$m=\frac {W}{g}$
Mass Calculator
Example of Few questions where you can use this Mass Calculator using weight Formula Question 1
A person has weight has 686 N on the surface of the earth .Acceleration due to gravity at that point is 9.8 m/s2.Find the mass of the body Solution
m = ?, g =9.8 m/s2, W=686 N
Now as per Mass formula
$m= \frac {W}{g} = \frac {686}{9.8}= 76 \ kg$
Question 2
The gravity of Jupiter is about 26 m/s2. What would be the weight of a probe of mass 1000 kg at Jupiter's surface?. Solution
m = 100 kg, g =26 m/s2 , W=?
Now as Weight formula
$W=mg = 100 \times 26 = 2600 \ N$
How the Mass Calculator using Weight Formula
1. If acceleration due to gravity and Weight are given, mass is calculated as
$m = \frac {W}{g}$
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
$g= \frac {W}{m}$
