Which pair of following forces will never give resultant force of 2, N

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3-1.Vectors

easy

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

A

$2 \,N$ and $2\, N$

B

$1 \,N$ and $1 \,N$

C

$1\, N $ and $3\, N$

D

$1\, N$ and $4\, N$

Solution

(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 $3\,N$ and $5\,N$. It can never be $2\,N.$

Standard 11

Physics

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