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.
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.
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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