Calculate Gravitational Force Mathematically
Physics · Flashcards · Recall
PHYSICS · FLASHCARDS
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QUESTION
State the relationship between gravitational force and field strength for a test mass
m
m
m
.
QUESTION
Find
m
2
m_2
m
2
in terms of
F
F
F
using
F
=
G
m
1
m
2
r
2
F=G\frac{m_1m_2}{r^2}
F
=
G
r
2
m
1
m
2
.
QUESTION
What happens to
F
F
F
if the distance
r
r
r
between two masses is doubled?
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ANSWER
F
becomes
1
4
as large
F\text{ becomes }\frac{1}{4}\text{ as large}
F
becomes
4
1
as large
. Force varies as
1
r
2
\frac{1}{r^2}
r
2
1
, so
(
2
r
)
2
=
4
(2r)^2=4
(
2
r
)
2
=
4
in denominator.
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