You can use the fact that two pulls on one object is minimum if both pulls are oppositely working and is maximum if both the pulls are working in same direction.
The range of values possible for the magnitude of the resultant force is
[25, 125]
What are the directions in which two pulls on the same object become maximum in resultant and minimum in resultant?
Two pulls on one object is minimum if both pulls are oppositely working and is maximum if both the pulls are working in same direction.
Using above conclusion for given pair of forces on one object
For getting minimum value:
Let they are working oppositely, then the resultant force would be subtraction of one force from other
Based on the direction we can have
Resultant force =
\(75N - 50N = 25N\\50N - 75N = -25N\)
Since the magnitude is same 25, thus, the minimum magnitude we can get is 25
Let the forces are working in same direction, then we have:
Resultant force = 75N + 50N = 125N
Thus, the maximum resultant force's magnitude is 125
Thus,
The range of values possible for the magnitude of the resultant force is
[25, 125]
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