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December 20, 2014

December 20, 2014

Posted by **Ana** on Friday, March 5, 2010 at 11:30pm.

smaller speed______ m/s

larger speed_______ m/s

So far this is wut i tried,

Vo*cos33.4° + Vy*33.4° = 5.60

Vo*sin33.4° = Vy*33.4°

i don't if this make senses...i'm lost

- Physics -
**drwls**, Saturday, March 6, 2010 at 12:31amYou would ordinarily need to use both momentum and kinetic energy conservation to solve this problem, but they have told you the directions of both discs, so you have only two unknowns and can use two momentum-related equations. One of your two equations is not quite correct.

If Vo is the orange velocity after collision and Vy is the yellow velocity,

Vo sin 33.4 = Vy cos 33.4

and also

5.60 = Vo cos 33.4 + Vy sin 33.4

Plug in the trig function values and solve the two linear equations.

Vo = 1.516 Vy

5.60 = 0.8348 Vo + 0.5504 Vy

5.60 = 1.8259 Vy

Vy = 3.07 m/s

Vo = 4.65 m/s

- Physics -
**drwls**, Saturday, March 6, 2010 at 8:54amWhenever there is elastic collision in a problem like this (one mass hits another stationary mass of equal mass), the paths of the two particles are at right angles, unless motion remains in the same direction. In that case, they exchange velocities. This can easily shown using the Pythagorean theorem.

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