TS EAMCET · Physics · Work Power Energy
A ball moving with a velocity \(v\), collides head on with a stationary second ball of same mass. After the collision, the velocity of the first ball is reduced to \(0.15 v\). The kinetic energy of the system is decreased nearly by
- A \(20 \%\)
- B \(25 \%\)
- C \(30 \%\)
- D \(40 \%\)
Answer & Solution
Correct Answer
(B) \(25 \%\)
Step-by-step Solution
Detailed explanation
Given, \(\Rightarrow\) Momentum is conserved, \( m_1 u_1+m_2 u_2=m_1 v_1+m_1 v_2 \) Given \(m_1=m_2=m, u_1=v\) and \(u_2=0\), also \(v=0.15 v\) \( \begin{aligned} & m v=m(0.15 v)+m v_2 \\ & v-0.15 v=v_2 \\ \Rightarrow & 0 \cdot 85 v=v_2 \mathrm{~m} / \mathrm{s} \end{aligned} \)…
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