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Physics · LAWS OF MOTION

हिन्दी

A body of mass \( 2\text{ kg} \) changes its velocity vector from \( \mathbf{v}_1 = 3\hat{i} + 4\hat{j}\text{ m s}^{-1} \) to \( \mathbf{v}_2 = -3\hat{i} + 4\hat{j}\text{ m s}^{-1} \). The magnitude of the impulse imparted to the body is:

  1. \( 12\text{ N s} \)
  2. \( 6\text{ N s} \)
  3. \( 16\text{ N s} \)
  4. \( 0\text{ N s} \)

Correct answer · Option 1

\( 12\text{ N s} \)

Explanation

Impulse \( \mathbf{I} = m(\mathbf{v}_2 - \mathbf{v}_1) = 2 ((-3 - 3)\hat{i} + (4 - 4)\hat{j}) = -12\hat{i}\text{ N s} \). Magnitude is \( 12\text{ N s} \).
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