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NEET
Exam
NEET
Subject
Physics
Chapter
Work, Power and Energy

NEET · Physics · Work, Power and Energy

A body of mass 2.4 ~kg is subjected to a force which varies with...

A body of mass 2.4 kg2.4 \mathrm{~kg} is subjected to a force which varies with distance as shown in figure. The body starts from rest at x=0x=0. Its velocity at x=9 mx=9 \mathrm{~m} is A body of mass 2.4 ~kg is subjected to a force which varies with distance as shown in figure. The body starts from rest

Options

  1. A53 m/s5 \sqrt{3} \mathrm{~m} / \mathrm{s}
  2. B203 m/s20 \sqrt{3} \mathrm{~m} / \mathrm{s}
  3. C10 m/s10 \mathrm{~m} / \mathrm{s}
  4. D40 m/s40 \mathrm{~m} / \mathrm{s}

Correct answer

C. 10 m/s10 \mathrm{~m} / \mathrm{s}

Step-by-step solution

Work done in a moving body is get converted into kinetic energy. A body of mass 2.4 ~kg is subjected to a force which varies with distance as shown in figure. The body starts from rest
∴\intFdx=12m(v2−02)⇒12(9+3)(20)=12(2.4)v2⇒V=10 m/s\begin{aligned}& \therefore & \intF d x & =\frac{1}{2}m\left(v^2-0^2\right) \\ & \Rightarrow & \frac{1}{2}(9+3)(20) & =\frac{1}{2}(2.4) v² \\ & \Rightarrow & V & =10 \mathrm{~m}/ \mathrm{s} \end{aligned}
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