Question

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

• A. $2Nand2N$
• B. $1Nand1N$
• C. $1Nand3N$
• D. $1Nand4N$

Answer 1

The correct option is D

$1Nand4N$

Step 1. Given data:

Suppose two vectors $A$ and $B$ are given.

Step 2. Formula used:

$(A–B)\le R\le (A+B)$

Here, $A,B$ are vectors and $R$ is the range of resultant.

$R_{max}=A+B,R_{min}=A-B$

Step 3. Applying the values:

If $A=4,B=1$

Then, $(A–B)\le R\le (A+B)$

$(4-1)\le R\le \left(4+1\right)$

Thus, the result will be $3N,5N$.

Hence, it will not be $2N$ and a correct answer is an option (D).