Hey, just starting my new physics course this semester and to start we are revie

Question

Hey, just starting my new physics course this semester and to start we are reviewing some older material from the first physics course (I'm in PHY 213 and the 1st one was 211). I haven't taken a physics course in 2 years (since the first time I took it was very discouraging...) so I'm needing a bit of help with a problem or two. Here it is:

3) There are two particles in the xy-plane, particle one is located at (0,0) and particle 2 at (6,4). Use your knowledge of vectors and Newton's Gravitational Force to calculate the gravitational force that particle one feels and express this force in polar form. (Each particle is an electron of mass 9.11*10^-31kg).

Any help would be appreciated!

Explanation / Answer

Gravitational force between two objects is found with: (GMm)/R^2 Where G = Gravitational Constant M = Mass of Object A m = Mass of Object B R = distance between objects Knowing they are both electrons, you can rewrite this as: (2GM)/R^2 G is known, m is known. R would be the magnitude of the vector as drawn from (0,0) to (6,4)...basically, the distance between the two points. This vector would essentially be, or 6i + 4j To find the magnitude, you need to square the components, add them together, then take the square root: 6^2 = 36 4^2 = 16 36+16 = 52 sqrt(52) = 7.21 = R (The last step is a bit moot, as you wind up squaring R anyway which takes you back to 52) Plug it all into the above equation and shoot out an answer. 2.3*10^(-42)

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