Question

Assertion: Two forces 7N and 5N are acting at a point and their resultant can be 3N.
Reason: If two vectors $\overrightarrow{P}$ and $\overrightarrow{Q}$ are acting at a point their resultant can have a value between $\overrightarrow{P}-\overrightarrow{Q}$ to $\overrightarrow{P}+\overrightarrow{Q}$.

• A. Both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
• B. Both Assertion and Reason are true, but Reason is not correct explanation of the Assertion.
• C. Assertion is true, but the Reason is false.
• D. Assertion is false, but the Reason is true.

Answer 1

The correct option is A Both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.

The value of resultant force always lies between $F_{max}$ and $F_{min}$ where $F_{max}$ & $F_{min}$ are the magnitudes of addition and subtraction respectively. The maximum value is therefore $12N$ and minimum value is $2N$.