Physics · Grades 9–12
Perpendicular force resultant
Use this rule only for perpendicular components.
Rule and assumptions
Use this rule only for perpendicular components.
R = √(F₁² + F₂²)
Worked examples
Two perpendicular forces of 96 N and 128 N act on a point. Find the magnitude of their resultant. Round to 3 decimal places if needed. Answer in N.
R = √(F₁² + F₂²) √(96² + 128²) = 160
160 N
Two perpendicular forces of 36 N and 48 N act on a point. Find the magnitude of their resultant. Round to 3 decimal places if needed. Answer in N.
R = √(F₁² + F₂²) √(36² + 48²) = 60
60 N
Try two questions
Two perpendicular forces of 440 N and 825 N act on a point. Find the magnitude of their resultant. Round to 3 decimal places if needed. Answer in N.
Two perpendicular forces of 105 N and 252 N act on a point. Find the magnitude of their resultant. Round to 3 decimal places if needed. Answer in N.
Answers and reasoning
Answers and marking notes
- 935 N
R = √(F₁² + F₂²) √(440² + 825²) = 935
- 273 N
R = √(F₁² + F₂²) √(105² + 252²) = 273
Further reading and review references
These are reference links, not copied exercises, institutional endorsement or proof of independent review.
Learning preview · independent educational and translation review required. Suggested grades are not official curriculum alignment.