In which scenario will the two objects have the least gravitational force between them?
2 answers:
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Answer:
Charge Z can be placed at <em>x</em> = -2.7 m or at <em>x</em> = 0.27 m.
Explanation:
The Coulomb force between two charges, and
, separated by a distance,
, is given
<em>k</em> is a constant.
For the charge Z to be at equilibrium, the force exerted on it by charge X must be equal and opposite to the force exerted on it by charge Y.
It is to be placed along the <em>x</em>-axis. Hence, it is on the same line as charges X and Y.
Let the charge on Z be <em>Q</em>. It is positive.
Let the distance from charge X be <em>x m.</em> Then the distance from charge Y will be (0.60 - <em>x</em>) m.
Force due to charge X
Force due to charge Y
Since both forces are equal and opposite,
Applying the quadratic formula,
or
Charge Z can be placed at <em>x</em> = -2.7 m or at <em>x</em> = 0.27 m