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AP EAMCET · PHYSICS · Laws of Motion

Two blocks A and B of masses 2 kg and 4 kg respectively are kept on a rough horizontal surface. If same force of 20 N is applied on each block, then the ratio of the accelerations of the blocks \(A\) and \(B\) is (Coefficient of kinetic friction between the surface and the blocks is 0.3 and acceleration due to gravity \(=10 \mathrm{~m} \mathrm{~s}^{-2}\) )

  1. A \(1: 1\)
  2. B \(7: 2\)
  3. C \(1: 2\)
  4. D \(4: 3\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(7: 2\)

Step-by-step Solution

Detailed explanation

\(a_A = \frac{F - \mu_k m_A g}{m_A} = \frac{20 - 0.3 \times 2 \times 10}{2} = \frac{20 - 6}{2} = 7 \mathrm{~m} \mathrm{~s}^{-2}\) \(a_B = \frac{F - \mu_k m_B g}{m_B} = \frac{20 - 0.3 \times 4 \times 10}{4} = \frac{20 - 12}{4} = 2 \mathrm{~m} \mathrm{~s}^{-2}\)…