two forces of 5 N and 7 N respectively act on an object, what are the maximum and minimum resultants of the two forces?
if they act in the same direction, they add up to 12N
if the act exactly opposite, the subtract to 2N in the direction of the original 7N force.
vectors act on the same direction
To find the maximum and minimum resultants of the given forces, we need to consider the different scenarios of how the forces can combine.
1. Maximum Resultant: When the forces are in the same direction, the maximum resultant occurs. In this case, we simply add the magnitudes of the two forces together:
Maximum Resultant = 5 N + 7 N = 12 N
2. Minimum Resultant: When the forces are in opposite directions, the minimum resultant occurs. Here, we subtract the magnitude of the smaller force from the magnitude of the larger force:
Minimum Resultant = 7 N - 5 N = 2 N
Thus, the maximum resultant is 12 N, and the minimum resultant is 2 N.