AP EAMCET · PHYSICS · Center of Mass Momentum and Collision
A canon shell fired breaks into two equal parts at its highest point. If one part retraces the path to the canon with kinetic energy \(E_1\) and kinetic energy of the second part is \(E_2\), then
- A \(E_2=15 E_1\)
- B \(E_2=E_1\)
- C \(E_2=4 E_1\)
- D \(E_2=9 E_1\)
Answer & Solution
Correct Answer
(D) \(E_2=9 E_1\)
Step-by-step Solution
Detailed explanation
Momentum before explosion \( =u \cos \theta \times 2 \mathrm{~m} \) Momentum after explosion \( =-m u \cos \theta+m v_2 \) Momentum is conserved, so \( \begin{aligned} & 2 m u \cos \theta=-m u \cos \theta+m v_2 \\ & \Rightarrow \quad v_2=3 u \cos \theta \end{aligned} \) Kinetic…
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