A particle moving with kinetic energy = 3 joule makes an elastic head on collision with a stationary

Question

A particle moving with kinetic energy = 3 joule makes an elastic head on collision with a stationary particle which has twice its mass during the impact.

Accepted Answer

Sol. Maximum compression (RE ⇒ Max ⇒ KE ⇒ Min)3mvC = mv1⇒ vC = $\frac{v_{1}}{3}$$\frac{1}{2}mv_{1}^{2} = 3$, ${(KE)\frac{1}{2}_{C}^{2}\frac{3}{2}\left( \frac{v_{1}}{3} \right)^{2}\frac{1}{6}_{1}^{2}\frac{1}{3}\left( \frac{1}{2}mv_{1}^{2} \right)\frac{1}{3}}_{\min}$⇒ (KE)min = 1J(PE)max = 3 – 1 = 2J(C) P ⇒ Always conservedKE ⇒ During collision chargesPE↑ & KE↓ ⇒ $\left( \frac{PE}{KE} \right) \uparrow \Rightarrow \frac{KE}{PE} \downarrow$

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