why do two object having different Mass reach the surface of the earth simultaneously is the force of gravitation acting on the both of them equal
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it is because the Force at work here (gravity) is also dependent on the mass
gravity acts on a body with mass m with
F=mg
F=mg
you will plug this in to
F=ma
F=ma
and you get
ma=mg
ma=mg
a=g
a=g
and this is true for all bodies no matter what the mass is. Since they are accelerated the same and start with the same initial conditions (at rest and dropped from a height h) they will hit the floor at the same time.
This is a peculiar aspect of gravity and underlying this is the equality of inertial mass and gravitational mass (here only the ratio must be the same for this to be true but Einstein later showed that they're really the same, i.e. the ratio is 1)
gravity acts on a body with mass m with
F=mg
F=mg
you will plug this in to
F=ma
F=ma
and you get
ma=mg
ma=mg
a=g
a=g
and this is true for all bodies no matter what the mass is. Since they are accelerated the same and start with the same initial conditions (at rest and dropped from a height h) they will hit the floor at the same time.
This is a peculiar aspect of gravity and underlying this is the equality of inertial mass and gravitational mass (here only the ratio must be the same for this to be true but Einstein later showed that they're really the same, i.e. the ratio is 1)
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