Question

Which pair of the following forces will never give resultant force of $2N$ ?

• A. $2N$ and $2N$
• B. $1N$ and $1N$
• C. $1N$ and $3N$
• D. $1N$ and $4N$

Answer 1

Answer: (D)

If two vectors $A$ and $B$ are given then range of their resultant can be written as $(A-B)\le R\le (A+B)$.
i.e. $R_{\max }=A+B$ and $R_{\min }=A-B$
If $B=1$ and $A=4$ then their resultant will lies in between $3N$ and $5N$. It can never be $2N$.
If these three vectors are represented by three sides of triangle then they form equilateral triangle.