Log in

View Full Version : 3 Masses


susus
Dec 10, 2010, 11:33 AM
M1 is a spherical mass (43.8 kg) at the origin. M2 is also a spherical mass (15.4 kg) and is located on the x-axis at x = 57.0 m. At what value of x would a third mass with a 11.0 kg mass experience no net gravitational force due to M1 and M2?

ebaines
Dec 10, 2010, 12:37 PM
Set the forces for gravitational attraction for a mass at distance x from the origin to be equal and opposite. At this point the 3rd mass is x meters from mass M1, and (57-x) meters from mass M2. So:


\frac {G M_1M_3} {x^2} = \frac {G M_2M_3} {(57-x)^2}


Note that the mass M_3 cancels out, so its value doesn't matter. Now solve for x.

Unknown008
Dec 11, 2010, 01:57 AM
I thought you had it solved? You could have posted that you didn't understand something :(

https://www.askmehelpdesk.com/physics/masses-gravitation-law-532845.html

susus
Dec 11, 2010, 07:45 AM
Sorry I just copied and paste it , without knowing or noticing that this is the question I posted..