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AIIMS 201926 May
Exam
AIIMS
Year
2019
Date
26 May
Subject
Physics
Chapter
Work, Power and Energy

AIIMS 2019 · 26 May · Physics · Work, Power and Energy

A body of mass 10^3 ~kg moving with speed 2 ~m ~s^ -1 collides with...

A body of mass 103 kg10^3 \mathrm{~kg} moving with speed 2 m s−12 \mathrm{~m} \mathrm{~s}^{-1} collides with a body of mass 15×103 kg15 \times 10^3 \mathrm{~kg} inelastically and sticks to it. Then loss in KE of the system will be

Options

  1. A1.875 kJ1.875 \mathrm{~kJ}
  2. B15 kJ15 \mathrm{~kJ}
  3. C10 kJ10 \mathrm{~kJ}
  4. D5 kJ5 \mathrm{~kJ}

Correct answer

A. 1.875 kJ1.875 \mathrm{~kJ}

Step-by-step solution

 Loss in  KE =12M1M2(M1+M2)(u1−u2)2=12×103×15×10316×103×(2)2=12×15×10316×4=1.875kJ\begin{aligned} & \text{ Loss\text{ in } KE }=\frac{1}{2} \frac{M_1 M_2}{\left(M_1+M_2\right)}\left(u_1-u_2\right)^2 \\ & =\frac{1}{2} \times \frac{10^3 \times 15 \times 10^3}{16 \times 10^3} \times(2)^2 \\ & =\frac{1}{2} \times \frac{15 \times 10^3}{16} \times 4=1.875 \mathrm{ kJ}\end{aligned}
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