Mass Formula

Introduction 

Mass is a fundamental property of matter representing the amount of matter in a body. It characterizes how much material is contained in the body and does not depend on the location of this body in space. The formula of mass is an important concept in physics and chemistry, further helping in understanding the relation of mass in different contexts like atomic, molecular, and nuclear physics. Molar Mass (M) is the mass of one mole of a substance, which is expressed in units of mass per amount of substance. It states the weight of one mole of any substance. The unit of molar mass is kg/mol.

Formula for mass

The formula for mass is given as

Mass = ρ × v

Where,

• ρ = density and

• v = the volume

The weight mass formula is given as

m = w / g

Where,

• w= weight

• m = mass

• g = gravity

The mass formula is also given as

 m = F / a

If acceleration itself is the gravity, then

M = F / g

Where,

• F = force

• G = gravity

According to Einstein's mass-energy relation 

m = (E / c2)

Where,

• m = mass

• E = Energy

• c = velocity of light 3× 108 m/s

The kinetic energy mass formula is given as

K.E = ½ mv2

 Where,

• m = mass,

• v = velocity.

Solved Problems

Problem 1: Find the mass if the weight of a body is 80 N.

Solution:

Given,

weight of the body = 80 N

mass of the body is given by

m = w / g

m = 80 / 9.8

m = 8.163 kg

Problem 2: A body has K.E 70 J and a velocity of 8m/s. Calculate its mass.

Solution:

Given,

K.E = 70 J

v = 8 m/s

mass is given by

m = 2 K.E / v2

m = (2 × 70)/ 82

m = 14o/64

m = 2.18 kg 

 

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