Calculating Mass of Pith Balls in Space with Gravitational and Electrical Forces

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Homework Help Overview

The discussion revolves around calculating the mass of two pith balls in space, considering the effects of gravitational and electrical forces while they move at constant velocity. The original poster expresses confusion over the number of variables involved in the problem.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to solve for the mass using known values but feels overwhelmed by the variables. Some participants question the significance of setting distances equal and explore the implications of constant velocity on the forces acting on the balls.

Discussion Status

Participants are actively engaging with the problem, clarifying the relationship between forces when the balls are in motion. There is recognition that the net force must be zero, leading to further exploration of how gravitational and electrical forces interact.

Contextual Notes

The original poster notes that there are three variables missing when attempting to solve for mass, indicating potential constraints in the problem setup.

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Question:
Two pith balls are free to float in space. If only gravitational and electrical forces are acting, and the balls have identical masses and charges (q = 4e), find the mass of the balls if they are moving at constant velocity.

I'm pretty sure that there is something I'm missing because when I try to solve for the mass, there are just too many variables to work with. Here's my work:

http://img291.imageshack.us/img291/2433/unsolvablemg8.png

Known values:
k = 9.0 x 10^9 Nm²/C²
G = 6.67 x 10^-11 N /m²kg²
q = 4(1.60 x 10^-19 C)

Otherwise, there are 3 variables missing if we solve for m ...
 
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You set the distance equal... that's not very meaningful! Instead, what must be true about the forces if the balls move at constant velocity?
 
Ohh! Constant velocity indicate that Fnet = 0. But I don't understand how that applies here. Surely, Fg and Fe cannot equal to 0 o.O
 
They don't have to equal zero, but they have to add to zero. The net force on each ball must be zero.
 
I can't believe I didn't realize this. Nonetheless, thank you very much :)
 

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