A car rolls horizontally at an initial velocity of 15 m/s when it collides compl

Question

A car rolls horizontally at an initial velocity of 15 m/s when it collides completely inelastically with a stationary truck in neutral that is 2 times more massive than it. What is the final velocity of the car and truck? In problem 10 above how does the final kinetic energy of the system compare to its initial kinetic energy? In the depths of the sun a proton is speeding towards a lead (Pb) atom at a speed of Av. The lead atom is also speeding towards the proton at a speed of -2v. If they elastically collide head-on, and we approximate that the proton's mass is much, much less than the lead atom's mass, then what is the final speed of the proton?

Explanation / Answer

10.Here ,

initial velocity , vi = 15 m/s

let final velocity is vf

Using conservation of momentum ,

vf * (2m + m ) = m * 15

vf = 5 m/s

the final velocity is 5 m/s and truck

11.

final kinetic energy/initial kinetic energy = 0.5 * 3m * 5^2 / ( 0.5 * m * 15^2)

final kinetic energy/initial kinetic energy = 0.333

the ratio of final kinetic energy and initial kinetic energy is 0.333

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