Mass Formulas - Difference Between Mass and Weight
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Mass is a quantity that gives an idea about how much matter is present in an object. It is a quantitative measure of inertia. So acceleration is inversely proportional to inertia.
The relation between force and mass is given by: F = ma or m = F/m The relation between density, mass, and Volume is given by: 𝛒 = m/V or m = 𝛒V The relation between Kinetic energy, mass, and velocity is given by: K = ½ mv^{2} or m = 2K/v^{2} The relation between Potential energy, mass, the acceleration due to gravity and height is given by: P = mgh or m = P/gh The well known Einstein’s mass-energy relation that provides mass energy formula as m = E / c2 Where, E = energy, m = mass, c = speed of light The relation between mass(m), velocity(v) and momentum(p) is given by: p = mv or m = p/v
Difference between mass and weight: Weight is the force due to gravity on a mass. So mass remains constant but weight changes as per the change in the gravitational field. W = mg or m = W/g
Example: Calculate the mass of a body if the density and volume of a body are 2 Kg/m^{3} and 5 m^{3}. Ans: Here mass = density x volume = 2 x 5 = 10 Kg
Question: If an object is moving with a velocity of 5 m/s and has a kinetic energy of 100J, Find the mass.