write the equation and SI unit of weight
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The unit of measurement for weight is certainly that of force. This unit in the International System of Unit (SI) is the newton. The object with a mass of 1 kilogram would weigh about 9.8 Newtons on the Earth’s surface. Furthermore, it would weigh about one-sixth as much on the moon.
Formula
The weight of an object or body certainly depends on the mass of the object and the gravity acting on it. This is why, the weight is different from mass. The mass of an object would be same whether on the Earth or on the Moon. The weight of an object due to the influence of gravity would be different on the Earth than on the Moon. The weight formula can be explained as follows:
Weight = mass × gravity
The formula for this is:
w = mg
Here we have,
w = weight
m = mass
g = gravity
Weight Formula Derivation
A fact that is well known by experiment is that a freely falling body irrespective of the mass would experience acceleration. This acceleration is due to the influence of gravity and its denotation is by ‘g’. Furthermore, this acceleration acts towards the center of the Earth. Therefore, from the Second Law of Motion we certainly have:
F = ma
Here, F = force, m = mass, and a = acceleration.
Now for freely falling bodies
a = g
F = w
Here, g = gravity and w = weight
Hence, w = mg
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