Question

if two forces act in opposite direction then their resultant is 10N and if they act mutually perpendicular then their resultant is 50N.find the magnitude of both the forces

Answer 1

"If two forces are acting in the opposite directions (180 degrees apart), the magnitude of resultant force would simply be the difference in the magnitude of the two forces.

A-B = 10N; A=10+B-----Eq 1; given 50=root A2+B2 its square now square on both aise.. 25000=(10+B)+ B2 2500=100+B2+20B +B2 B2+ 10B-1200=0 B2-30B+40B-1200=0

B(B-30)+40(B-30)=0 (B+40)(B-30)=0 B=30 & from eq 1 A =40

"