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• Newton’s universal law of gravity tells us that .
Chapter 29, Problem 44TAS(choose chapter or problem)
Newton’s universal law of gravity tells us that
\(F=G \frac{m_{1} m_{2}}{d^{2}}\)
Newton’s second law tells us that \(a=\frac{F_{n f t}}{m}\)
a. With a bit of algebraic reasoning, show that your gravitational acceleration toward any planet of mass M
a distance d from its center is \(a=\frac{G M}{d^{2}}\)
b. How does this equation tell you whether or not your gravitational acceleration depends on your mass?
Equation Transcription:
Text Transcription:
F=G m_1 m_2 /d^2
a = F_net /m
a = GM/d^2
Questions & Answers
QUESTION:
Newton’s universal law of gravity tells us that
\(F=G \frac{m_{1} m_{2}}{d^{2}}\)
Newton’s second law tells us that \(a=\frac{F_{n f t}}{m}\)
a. With a bit of algebraic reasoning, show that your gravitational acceleration toward any planet of mass M
a distance d from its center is \(a=\frac{G M}{d^{2}}\)
b. How does this equation tell you whether or not your gravitational acceleration depends on your mass?
Equation Transcription:
Text Transcription:
F=G m_1 m_2 /d^2
a = F_net /m
a = GM/d^2
ANSWER:
Step 1 of 3
(a)
According to Newton’s universal law of gravity,
Here, 
According to Newton’s second law,
Here, 
