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Two bodies have masses in the ratio 3:4. A force gives the larger mass an acceleration of 12 m s⁻². What acceleration does the same force give the smaller mass?
A9 m s⁻²
B12 m s⁻²
C21 m s⁻²
D16 m s⁻²
Answer & Solution
Correct answer: D. 16 m s⁻²
1. For the same force, F = m₁a₁ = m₂a₂, so a is inversely proportional to mass.
2. Larger mass = 4 parts gives a = 12 m s⁻², so F corresponds to 4 x 12 = 48 (in ratio units).
3. Smaller mass = 3 parts: a = 48 / 3 = 16 m s⁻².
4. Rule out 9 m s⁻²: that wrongly makes acceleration smaller for the lighter body.
_Source: Samacheer Kalvi (TN SCERT) Class 10 Science, Unit 1 "Laws of Motion", p.21_
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