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
n drops of a liquid, each with surface energy E, joining to form a single drop...A wooden block, with a coin placed on its top, floats in water as shown in figure. The distance l and h are shown there....The graph shows the extension of a wire of length 1m suspended form the top of a roof at one end and with a load W conne...In a smooth stationary cart of length d, a small block is projected along it's length with velocity v towards front. Coe...Two balls of same mass are dropped from the same height h, on to the floor. The first ball bounces to a height h/4, afte...