Question

The sum of magnitude of two forces is $25N$. The resultant of these forces is normal to the smaller force and has a magnitude of $10N$. Then, the two forces are

• A. $14.5N,10.5N$
• B. $16N,9N$
• C. $13N,12N$
• D. $20N,5N$

Answer 1

The correct option is A $14.5N,10.5N$

F1+F2=25N

resultant of these forces s perpendicular to smaller force

they form a triangle

$F{1}^2+{10}^2=F{2}^2$

solving these equations we get

$F1=10.5N$

$F2=14.5N$