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MHT CET · Physics · Center of Mass Momentum and Collision

Force is applied to a body of mass 3 kg at rest on a frictionless horizontal surface as shown in the force against time (F - t) graph. The speed of the body after 1 s is
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  1. A \(8 \mathrm{~m} / \mathrm{s}\)
  2. B \(6 \mathrm{~m} / \mathrm{s}\)
  3. C \(4 \mathrm{~m} / \mathrm{s}\)
  4. D \(2 \mathrm{~m} / \mathrm{s}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(2 \mathrm{~m} / \mathrm{s}\)

Step-by-step Solution

Detailed explanation

\(J = \text{Area under F-t graph} = \frac{1}{2} \times 1 \text{ s} \times 12 \text{ N} = 6 \text{ Ns}\) \(J = m(v_f - v_i)\)