Verify that g is independent of mass of the freely falling body?
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Newton’s 2nd Law:
F = ma
This is an axiomatic statement and is not based on underlying proof, it just seems to be how the world works.
Accordingly, the acceleration of a body experiencing a net force is
a = F/m
This applies to any body under any force.
Uniquely under the forces, the force of gravity felt by a body depends on its mass. This means if you double the mass of a ball falling to Earth, you double the force on it. But if you look at the second equation you’ll see that acceleration scales inversely with mass. So doubling the mass also doubles the force (of gravity), and both of these increases are cancelled out in the acceleration equation.
Note: Newton’s law of gravitation is also axiomatic, i.e. it’s an assumption that works amazingly well in most cases.
F = ma
This is an axiomatic statement and is not based on underlying proof, it just seems to be how the world works.
Accordingly, the acceleration of a body experiencing a net force is
a = F/m
This applies to any body under any force.
Uniquely under the forces, the force of gravity felt by a body depends on its mass. This means if you double the mass of a ball falling to Earth, you double the force on it. But if you look at the second equation you’ll see that acceleration scales inversely with mass. So doubling the mass also doubles the force (of gravity), and both of these increases are cancelled out in the acceleration equation.
Note: Newton’s law of gravitation is also axiomatic, i.e. it’s an assumption that works amazingly well in most cases.
ShreyaPallav:
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