Question:
When two perpendicular forces 3 N and 4 N act on a body at rest, it is accelerated to \(2 \, ms^{-2}\). The mass of the body is.
When two perpendicular forces 3 N and 4 N act on a body at rest, it is accelerated to \(2 \, ms^{-2}\). The mass of the body is.
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Perpendicular vectors always follow the Pythagoras theorem for resultant.
Updated On: Apr 27, 2026
- 1.5 kg
- 2.5 kg
- 3 kg
- 3.5 kg
- 2 kg
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The Correct Option is B
Solution and Explanation
Step 1: Concept
Newton's Second Law: $F_{net} = ma$.
Step 2: Meaning
Since forces are perpendicular, $F_{net} = \sqrt{F_1^2 + F_2^2}$.
Step 3: Analysis
$F_{net} = \sqrt{3^2 + 4^2} = \sqrt{25} = 5$ N.
$5 = m \times 2 \Rightarrow m = 2.5$ kg.
Step 4: Conclusion
Hence, the mass of the body is 2.5 kg.
Final Answer: (B)
Newton's Second Law: $F_{net} = ma$.
Step 2: Meaning
Since forces are perpendicular, $F_{net} = \sqrt{F_1^2 + F_2^2}$.
Step 3: Analysis
$F_{net} = \sqrt{3^2 + 4^2} = \sqrt{25} = 5$ N.
$5 = m \times 2 \Rightarrow m = 2.5$ kg.
Step 4: Conclusion
Hence, the mass of the body is 2.5 kg.
Final Answer: (B)
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