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TS EAMCET · Physics · Work Power Energy

A bullet of mass 1 kg fired with a speed 2 m s-1 from x=0 passes through a block of wood whose centre is kept at a distance of 10 m from the origin as shown in figure. The retarding force Fr on the bullet within the wooden block is -0.5x. The minimum length of the block (upto one decimal digit) required to completely stop the bullet is (Assume e4=55)

  1. A 10.1 m
  2. B 9.2 m
  3. C 9.7 m
  4. D 19.3 m
Verified Solution

Answer & Solution

Correct Answer

(D) 19.3 m

Step-by-step Solution

Detailed explanation

Given Mass of bullet m=1 kg Velocity of bullet v=2 m s-1 The restoring force on the bullet within the block is F=-0.5x Applying work energy theorem, W=∆KE ⇒ ∫F dx=-12mu2…
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