Mass:

Mass is a measure of the quantity of matter in an object at rest. (Mass is the amount of matter in an object)

Weight:

Weight is the force of gravity acting on an object that has mass. (Weight is a gravitational force)

W = Weight (in Newtons)

m = Mass (Kg)

g = Gravity (on earth 9.8m/s^2)

The SI unit of weight is the same as that of force: the newton (N)

One newton is equal to 1 kilogram meter per second squared

$$One\;newton(1N)\;=\;Kgms^{-2}$$

Gravitational field strength

Gravitational field strength Defined as force per unit mass;

W = Weight (in Newtons)

m = Mass (Kg)

g = Gravity (on earth 9.8m/s^2)

Mass Vs. Weight

MassWeight
Mass always remains the sameWeight can change with location. 
Mass is measured in Kilograms, Grams etc.Weight is measured in Newtons (N)
Mass can never be zeroWeight can be zero
Mass has only magnitude (Scalar)Weight has both magnitude and direction (Vector)
Mass may be measured using an ordinary balanceWeight is measured using a spring balance.

The Greater the mass of a body, the greater is the inertia or resistance to change of motion

The weight of an object and its mass are directly proportional. For a given gravitational field strength, the greater the mass of the object, the greater its weight.

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