Momentum and CollisionHardBloom L3
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.
Options
A.The minimum kinetic energy of the system is 1 joule.
B.The maximum elastic potential energy of the system is 2 joule.
C.Momentum and total kinetic energy of the system are conserved at every instant.
D.The ratio of kinetic energy to potential energy of the system first decreases and then increases.
Solution
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 conserved
KE ⇒ During collision charges
PE↑ & KE↓ ⇒ $\left( \frac{PE}{KE} \right) \uparrow \Rightarrow \frac{KE}{PE} \downarrow$
Create a free account to view solution
View Solution FreeMore Momentum and Collision Questions
A liquid flows through a horizontal tube. The velocities of the liquid in the two sections, which have areas of cross-se...A thin ring of mass 2 kg and radius 0.5 m is rolling without on a horizontal plane with velocity 1 m/s. A small ball of ...A ′T′ shaped object with dimensions shown in the figure, is lying on a smooth floor. A force F is applied at...A bullet of mass P is fired with velocity Q in a large body of mass R. The final velocity of the system will be -...In a one dimensional collision between two identical two identical A and B, B is stationary and A has momentum p before ...