Force Between Two Objects
The following equation can be used to calculate the gravitational force
between two masses or the electrical force between two charged
objects:
F=KXAXB+R"2
where
A =
the mass (in kilograms) or electrical charge (in cou-
lombs) of object A.
B =
the mass (in kilograms) or electrical charge (in cou-
lombs) of object B.
F =
the force (in newtons).
K =
aconstant. K = 6.67 x 10~ 11 N-m?/kg? (gravitation)
or K = 8.98756 x 10° C2/N-m?2.
R =
the distance between the objects (in meters).
Example: Gravitational Force. Calculate the gravitational force be-
tween the earth and the sun. The earth's mass is 5.983 x 102 kg; the
sun's mass is 1.938 x 103 kg. The sun is 9.3 X 107 miles from earth.
Keys:
Display:
Description:
K?value
Prompts for K.
6.67@E] (=] 11
R?value
Stores K, prompts for
mass of object A
(earth).
5.983 @I(E] 24
B?value
Stores A, prompts for
mass of object B (sun).
1.938 @(E] 30
R?value
Stores B, prompts for
R.
9.3 @(E) 7 [x] 5280 [x]
Converts miles to
12 E
R?5.8925E12
inches.
98
7: The Equation Library