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NAkid
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[SOLVED] Newton's law of gravitational attraction help?
M1 is a spherical mass (38.6 kg) at the origin. M2 is also a spherical mass (10.3 kg) and is located on the x-axis at x = 61.2 m. At what value of x would a third mass with a 15.0 kg mass experience no net gravitational force due to M1 and M2?
F=(Gm1m2)/R^2
The force of m1 on m3 and m2 on m3 should be equal, so
Gm1m3/r1^2 := Gm2m3/r2^2
G and m3 are constant, so rearrange and get
sqrt (m1/m2) = r1/r2
not sure what to do here, should i just multiply this ratio by the distance 61.2m?
Homework Statement
M1 is a spherical mass (38.6 kg) at the origin. M2 is also a spherical mass (10.3 kg) and is located on the x-axis at x = 61.2 m. At what value of x would a third mass with a 15.0 kg mass experience no net gravitational force due to M1 and M2?
Homework Equations
F=(Gm1m2)/R^2
The Attempt at a Solution
The force of m1 on m3 and m2 on m3 should be equal, so
Gm1m3/r1^2 := Gm2m3/r2^2
G and m3 are constant, so rearrange and get
sqrt (m1/m2) = r1/r2
not sure what to do here, should i just multiply this ratio by the distance 61.2m?