Question:
If the forces acting on two bodies of masses \(2kg\) and \(3kg\) are same, then the ratio of their respective accelerations is
If the forces acting on two bodies of masses \(2kg\) and \(3kg\) are same, then the ratio of their respective accelerations is
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For a constant force, acceleration is inversely proportional to mass.
Updated On: Apr 24, 2026
- 1:1
- 1:2
- 2:3
- 3:2
- 4:9
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The Correct Option is D
Solution and Explanation
Step 1: Understanding the Concept:
Newton's second law of motion: \(F = ma\).
Step 2: Detailed Explanation:
Given that the force \(F\) is the same for both bodies. Let \(m_1 = 2 kg\), \(a_1\) be its acceleration. Let \(m_2 = 3 kg\), \(a_2\) be its acceleration. We have \(F = m_1 a_1\) and \(F = m_2 a_2\). Therefore, \(m_1 a_1 = m_2 a_2\). The ratio of accelerations is: \[ \frac{a_1}{a_2} = \frac{m_2}{m_1} = \frac{3}{2} \] So, \(a_1 : a_2 = 3 : 2\).
Step 3: Final Answer:
The ratio of their accelerations is 3:2.
Newton's second law of motion: \(F = ma\).
Step 2: Detailed Explanation:
Given that the force \(F\) is the same for both bodies. Let \(m_1 = 2 kg\), \(a_1\) be its acceleration. Let \(m_2 = 3 kg\), \(a_2\) be its acceleration. We have \(F = m_1 a_1\) and \(F = m_2 a_2\). Therefore, \(m_1 a_1 = m_2 a_2\). The ratio of accelerations is: \[ \frac{a_1}{a_2} = \frac{m_2}{m_1} = \frac{3}{2} \] So, \(a_1 : a_2 = 3 : 2\).
Step 3: Final Answer:
The ratio of their accelerations is 3:2.
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