Question

Two forces of $10N$ and $6N$ act upon a body. The direction of the forces are unknown. The resultant force on the body may be

• A. $15N$
• B. $3N$
• C. $17N$
• D. $2N$

Answer 1

The correct option is A $15N$

$(F_1+F_2{)}_{max}=16N$ $F_{net}=\sqrt{F_1^2+F_2^1+2F_1{F}_2}$ $cos\theta$

$cos\theta =+1\left(max\right)$

$(F_1-F_2{)}_{min}=4N$ $cos\theta =-1\left(min\right)$

As $2,3N$ are below min value they are not

possible.

As 17 N is greater then max possible value;

only 15 N is possible