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noticethat weight can increase or decrease depending on the acceleration due to
gravity, but the mass remains unchanged.

Relation between Weight and Mass

Consider a body having large mass and large weight. Example of this situation is a
large object which is hard to throw because the weight of this object is large.
Therefore, the relation between weight and mass can be derived with the help
of Newton’s second law which explains that the free falling object has an acceleration
“g” as the magnitude.

If an object with a mass of 1kg falls with an acceleration of 9.8 m.s , then the
-2
magnitude of the force is given as :
F = ma
= (1kg)(9.8m.s )
-2
= (9.8 kg.m.s )
-2
= 9.8N
Therefore, it can be concluded that the relation between weight and mass of an
object with 1kg mass will have a weight of 9.8N.