physics electricity

1. NEWTON’S LAW OF
UNIVERSAL
GRAVITATION
Report by:
Tunoys (Rhenz Christian Valiente)
and
Dodoys (Vince RJ Silvestre)

2. ISAAC NEWTON
• Born on January 4, 1643 in Woolsthorpe,
Lincolnspire, England. Died on March 31, 1727.
When the great Plague shuttered Cambridge in
1665, He returned home and began formulating
his theories on calculus, light and color, his farm
the setting for the supposed falling apple that
inspired his work in gravity.
Newton’s Contribution
In optics, his discovery of the composition of the
composition of white light integrated the
phenomena of colours into the science of light and
laid the foundation for modern physics optics. In
mechanics, his three laws of motion, the basic
principles pf modern physics, resulted in the
formulation of the law of universal gravitation.

3. NEWTON’S LAW OF UNIVERSAL
GRAVITATION
• Gravitation is a natural occurrence by which physical
objects attract each other due to their masses. There is a
force that appears whenever masses are present, and this is
a non-contact force. In relation to this, Newton concluded
that this non-contact gravitational force must be responsible
for the falling of an apple from a tree, as it is also the cause
for the rotation of the moon about the earth.

4. ACCORDING TO NEWTON’S
LAW OF UNIVERSAL GRAVITATION WHICH STATES
THAT:
•Every point mass in the universe attracts every
other point mass with a force that is directly
proportional to the product of their masses
and inversely proportional to the square of
the distance between them.
•The force acts on the line between the two
objects.
•The magnitude of the force of each object is the
same but is it in opposite direction.

5. IN EQUATION: • where:
• F is the magnitude of the
gravitational force [N]
• G, the constant of universal
gravitation, is 6.67 x 10-11 N
m2/ kg2
• m1 is one of the point mass
[kg]
• m2 is the other point mass [kg]
• r is the centre-to-centre distance
between the two point masses
[m]

6. EXAMPLES:
•1. A 60 kg person and a 80kg person
are sitting in their classroom 50cm
apart from each other. Calculate the
gravitational force between them.

7. SOLUTION
Given: m1: 60 kg m2: 80kg r:0.5m g: 6.67 x 10-11 N
m2/ kg2
F=
𝐺 𝑚1 𝑚2
𝑟2
=
(6.67 x 10−11 N m2/ kg2)(60)(80)
0.5 2
=
(6.67 x 10−11 N m2/ kg2)(4.8 x 103)
0.5 2
=
(3.20 x 10 −7)
2.5 x 10−1
= 1.8 x 10-6N