Final answer:
To find a location where one could place a third charge such that the charge wouldn't move in the given scenario, the third charge should be placed at the midpoint between q1 and q2, which is 2.5 cm (0.025 m) away from each charge.
Step-by-step explanation:
To find a location where a third charge will not move, we need to calculate the net force acting on the charge at that location. Since we know the charges and their positions, we can use Coulomb's law to calculate the individual forces. The net force will be zero when the sum of the individual forces is zero. Let's calculate the forces using the given charges q1 = 5p+ and q2 = 7e-.
First, let's find the force between charges q1 and q2. The distance between them is 5 cm, which is 0.05 m. Using Coulomb's law, the force between them is given by:
F = k * |q1 * q2| / r^2
F = (8.99 x 10^9 N m²/C²) * |(5 x 10^-12 C) * (7 x 10^-19 C)| / (0.05 m)^2
F = 7.7175 x 10^-8 N
The force between charges q1 and q2 is 7.7175 x 10^-8 N.
To find the location where a third charge will not move, we need to find a point where the force due to q1 and the force due to q2 cancel each other out. Since both q1 and q2 are positive, the third charge should be placed at a point where the force due to q1 is equal in magnitude but opposite in direction to the force due to q2. This can be achieved by placing the third charge equidistant from q1 and q2, along the axis connecting them. The magnitude and direction of the forces for the third charge will be the same, canceling each other out and resulting in a net force of zero.
Therefore, to find the location where one could place a third charge such that the charge wouldn't move with q1 = 5p+ and q2 = 7e-, the third charge should be placed at the midpoint between q1 and q2, which is 2.5 cm (0.025 m) away from each charge.