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JEE Main202227 Jul 2022Evening ShiftPhysicsMotion in One DimensionActual

The velocity of the bullet becomes one third after it penetrates 4 cm in a wooden block. Assuming that bullet is facing a constant resistance during its motion in the block. The bullet stops completely after travelling at 4 + x cm inside the block. The value of x is

Options

  1. A2 . 0
  2. B1 . 0
  3. C0 . 5
  4. D1 . 5

Correct answer

C. 0 . 5

Step-by-step solution

According to the given information for the first 4   cm , u = v 0 and v = v 0 3 . Applying equation of motion for constant acceleration, v 2 = u 2 + 2 a s ⇒ v 0 3 2 = v 2 + 2 a 4 ⇒ a = - 8   v 0 2 9 8 = - v 0 2 9 When the body stops, v = 0 ⇒ 0 = v 0 2 + 2 a 4 + x ⇒ v 0 2 = 2 v 0 2 9 4 + x ⇒ 4 . 5 = 4 + x ⇒ x = 0 . 5   cm

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