Work, Energy and Power · NEET Preparation Physics

A bullet of mass 20text{ g} moving with a velocity of 300text{ m/s} penetrates a wooden block and comes to rest after traversing a distance of 5text{…

Practice question from Work, Energy and Power (NEET Preparation Physics), with the correct answer and a step-by-step solution.

medium · MCQ · Q-66BC3F

A bullet of mass 20 g20\text{ g} moving with a velocity of 300 m/s300\text{ m/s} penetrates a wooden block and comes to rest after traversing a distance of 5 cm5\text{ cm}. The average resistance offered by the block is:

  1. A.9000 N
  2. B.18000 NCorrect answer
  3. C.36000 N
  4. D.4500 N

Solution

By work-energy theorem, work done by the resistive force equals the change in kinetic energy: F⋅d=12mv2F \cdot d = \frac{1}{2}mv^2. Here, m=0.02 kgm = 0.02\text{ kg}, v=300 m/sv = 300\text{ m/s}, d=0.05 md = 0.05\text{ m}. F×0.05=12×0.02×(300)2=0.01×90000=900 JF \times 0.05 = \frac{1}{2} \times 0.02 \times (300)^2 = 0.01 \times 90000 = 900\text{ J}. Thus, F=9000.05=18000 NF = \frac{900}{0.05} = 18000\text{ N}.

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