A 32-u oxygen molecule (O2) moving in the +x direction at 580 m/s collides with an oxygen atom (mass 16 u) moving at 870 m/s at 27 degrees to the x axis. The particles stick together to form an ozone molecule. Find the velocity of the ozone. Express your answer in terms of the units vectors i and j.

Question

A 32-u oxygen molecule (O2)  moving in the +x direction at 580 m/s collides with an oxygen atom (mass 16 u) moving at 870 m/s  at 27 degrees  to the x axis. The particles stick together to form an ozone molecule. Find the velocity of the ozone. Express your answer in terms of the units vectors  i and j.

I know my i is 645 and my J is 132 but for my answer do I just put fo my final velocity i=645m/s

drwls · Accepted Answer

In the x direction, conservation of momentum says
(32*580) + (16 cos27*870)= 48 Vx
Vx = 645
16 sin27*870 = 48 Vy
Vy = 132
Write the answer as
V(final) = 645i + 132j m/s
since they want both components.

Actually an O2 + O -> O3 reaction would not work in the manner described, but that would require a lesson in chemistry. The kinetic energy lost in the collision, together with chemical reaction energy, would cause the O3 molecule to break apart

Ben · Answer

I got this question also on mastering physics and i cant figure out how to enter it in properly... I got the same answer as you both got

Ben · Answer

Actually i figured this out on mastering physics, you need to use the extra key button that has the arrow pointing up at the top of the letter, then put i, in the main box.