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7 Questions around this concept.
What is the standard value of acceleration due to gravity near the Earth's surface?
A planet has double the mass of the Earth. Its average density is equal to that of the Earth. An object weighing W on Earth will weigh on that planet:
Mass of earth-
Using Newton’s law of gravitation we can estimate the mass of the earth
mass of earth
Gravitational constant
Density of earth
As
Where density of earth
So
Inertial mass
Also known as the mass of material of body which measures its inertia.
From Newton’s second law of motion
So
Where
inertial mass
external force
Gravity has no effect on inertial mass.
Inertial mass is independent of size, shape, and state of the body.
Gravitational Mass-
It is mass which determines the gravitational pull acting upon it.
Let F= gravitational pull on a body of mass
applying Newton’s law of gravitation
We have
So we get
Where Gravitational mass
Gravitational field intensity
Tip-Spring balance measure gravitational mass.
Mass (m)
It is the quantity of matter contained in the body.
Its SI unit- Kg
Its dimension is
It is a scalar quantity.
It Can never be zero
Its value does not change with g.
Weight (W)
It is an Attractive force exerted by the earth on anybody.
S.I. Unit: Newton or Kg - wt
Dimension-
It is a vector quantity
It changes its value according to the value of g
At and at the centre of earth g = 0, So W is equal to zero there.
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