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Example 4 – Universal gravitation
Newton’s law of universal gravitation indicates that the magnitude of the
attractive force between two bodies of masses
m
1
and
m
2
separated by a
distance
r
is given by the equation
.
2
2
1
r
M
M
G
F
⋅
⋅
=
Here, G is the universal gravitational constant, whose value can be obtained
through the use of the function CONST in the calculator by using:
We can solve for any term in the equation (except G) by entering the
equation as:
This equation is then stored in EQ:
Launching the numerical solver for this equation results in an input form
containing input fields for F, G, m1, m2, and r.
Let’s solve this problem using units with the following values for the known
variables m1 = 1.0
×
10
6
kg, m2 = 1.0
×
10
12
kg, r = 1.0
×
10
11
m. Also, enter
a value of 0_N in field F to ensure the proper solution using units in the
calculator:
Содержание 49g+
Страница 1: ...hp 49g graphing calculator user s guide H Edition 4 HP part number F2228 90006 ...
Страница 197: ...Page 5 30 LIN LNCOLLECT POWEREXPAND SIMPLIFY ...
Страница 377: ...Page 11 55 Function KER Function MKISOM ...
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Страница 775: ...Page 26 10 the location of the backup battery in the top compartment at the back of the calculator ...
Страница 838: ...Page L 5 ...