The magnitudes of forces on the center charge due to left and right charges are 3.4 N and 4.0 N respectively. What will be the resultant force on the center charge?
Correct answer: B. 0.6 N, + x direction
- A. 7.4 N, + x direction
- B. 0.6 N, + x direction
- C. 0.6 N, - x direction
- D. 7.4 N, - x direction
Explanation
To determine the resultant force on the center charge, we need to consider the vector sum of the forces acting on it. Since the forces acting on the center charge due to the left and right charges have magnitudes of 3.4 N and 4.0 N, respectively, we can represent these forces as vectors:Left force: 3.4 N (pointing towards the left)Right force: 4.0 N (pointing towards the right)To find the resultant force, we subtract the force vectors. Since the force on the right is greater, we subtract the force on the left from the force on the right:Resultant force = Right force - Left force= 4.0 N - 3.4 N= 0.6 NThe resultant force on the center charge is 0.6 N. Note that the direction of the resultant force will be towards the right, as the force on the right is greater than the force on the left.
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