Final answer:
The total force a new charge q feels from charges q1 and q2 in free spaces is calculated using Coulomb's law and the principle of superposition, summing the forces exerted by each charge separately.
Step-by-step explanation:
The magnitude of the total force that a new charge q feels from two other charges q1 and q2 in free spaces can be calculated using Coulomb's law. Coulomb's law states that the force F between two point charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them: F = k|q1*q2|/r², where k is Coulomb's constant (approximately 8.99 x 10⁹ N*m²/C²), and r is the distance between the charges. To determine the total force on charge q, you sum the individual forces exerted on q by q1 and q2. This is done by applying the principle of superposition, which says that the force on one charge due to multiple other charges is the vector sum of the forces due to each charge separately. If q1 and q2 are at different distances from q, calculations must be done separately for each, and then the vectors must be added together to find the net force.