Question

Forces acting on 2 bodies of masses 2kg and 3kg are same. What is the ratio of their acceleration?

• A. 3:2
• B. 2:3
• C. 1:1
• D. 1:2

Hint:

When two objects experience the same force, their accelerations are inversely proportional to their masses. The greater the mass, the smaller the acceleration for the same force.

Answer 1

The Correct Option is B

According to Newton's Second Law of Motion: \[ F = ma \] Where: - \(F\) is the force, - \(m\) is the mass, - \(a\) is the acceleration. If the forces acting on both bodies are the same, then the accelerations will be inversely proportional to their masses. Therefore, the ratio of their accelerations is: \[ \frac{a_1}{a_2} = \frac{m_2}{m_1} \] Given: - \(m_1 = 2 \, \text{kg}\), - \(m_2 = 3 \, \text{kg}\), The ratio of accelerations is: \[ \frac{a_1}{a_2} = \frac{3}{2} \] Thus, the ratio of the accelerations is 2:3.