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Question

What is the difference between force due to gravity and acceleration due to gravity?(Please explain theoretically.)

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Solution

Gravity always tries to accelerate an object towards
the centre of the earth at 9.81 m/s2
. We could say:
g = 9.81 m/s2
If an object is dropped, the acceleration due to
gravity creates a force on the object, known as the
gravitational force, Fg.
Fg = mg
If an object is on the earth’s surface, the force is felt
even if the object does not accelerate. We sense this
force as our weight.
Weight = Fg
Weight: the gravitational force acting on an object
Mass: the amount of matter that makes up an object
Ex. What is the weight of a 50 kg box?
Fg = mg
= 50 kg x 9.81 m/s2
= 490.5 N
= 0.49 kN
Note that in the SI system, weight has units of N.
On different planets an object’s mass is constant,
but its weight will vary because g is different on
different planets.
Ex.
On Mars g is about 3.74 m/s2
. What is the weight of
the 50 kg object on Mars?
Fg = mg
= 50 kg x 3.74 m/s2
= 187 N
= 0.19 kN
If you diet, and want weight loss, you really want
mass loss.
In the old Imperial units, the unit of force is the
pound, and the unit of mass is the slug!
On earth, a weight of 2.2 lbs is equivalent to a mass
of 1.0 kg.


OR

gravitational force - the force of attraction between all masses in the universe; especially the attraction of the earth's mass for bodies near its surface
Acceleration due to gravity - The acceleration imparted to bodies by the attractive force of the earth or any other heavenly body.

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