Thursday

November 27, 2014

November 27, 2014

Posted by **Fred** on Tuesday, November 24, 2009 at 8:08pm.

1. ball originally at rest

2. ball originally moving east

im alittle confused about this problem.

if you could give more details and give me the equations for me to start. that would be very helpful. much appreciated

- Physics -
**MathMate**, Tuesday, November 24, 2009 at 10:03pmPerfectly elastic collision assumes conservation of energy. Momentum is conserved for both elastic and inelastic collisions.

Let 1 and 2 denote each of the balls (1 moving, 2 initially stationary).

m1 and m2 their masses

v11 and v21 their initial velocities (v21=0)

v12 and v22 their final velocities.

Conservation of Kinetic energy equation:

(1/2)m1 v11² + (1/2)m2 v21²

= (1/2)m1 v12² + (1/2)m2 v22² ....(1)

Conservation of Momentum equation:

m1 v11 + m2 v21 = m1 v12 + m2 v22 ...(2)

All variables are known except for v12 and v22.

Solve for v12 and v22.

- Physics -
**Fred**, Tuesday, November 24, 2009 at 10:30pmwow, much help. thank you very much but i do have a quick question,

v21² AND v22² are both in the same equation, are you saying that im supposed to put v21² AND v22² on the same side? like this....

(1/2)m1 v11² + (1/2)m2 (1/2)m1 v12² + (1/2)m2

= v21² v22² ??????

- Physics -
**MathMate**, Tuesday, November 24, 2009 at 11:40pm(1/2)m1 v11² + (1/2)m2 v21²

This is the left hand side of the equation and represents the sum of kinetic energies of the two balls before the impact.

The right hand side of the equation:

(1/2)m1 v12² + (1/2)m2 v22²

represents the total kinetic energies after the elastic impact.

They are equated because energy is supposed to be conserved during an elastic impact.

The confusion probably arose because the equal sign was at the beginning of the next line.

By the way, you will probably find that v12 is negative, which physically means that ball 1 bumped backwards while pushing ball 2 forward.

**Answer this Question**

**Related Questions**

Physics - A ball of mass 0.640 kg moving east (+x direction) with a speed of 3....

phy - A ball of mass 0.540 kg moving east (+x direction) with a speed of 3.30 m/...

physics - A ball of mass 0.440 kg moving east (+x direction) with a speed of 3....

physics - A softball of mass 0.220 kg that is moving with a speed of 5.5 m/s (in...

physics - PLEASE HELP - A softball of mass 0.220 kg that is moving with a speed ...

Physics - 1. A 3kg body moving towards the east with a speed of 5 m/s ...

physics - A 0.060 kg tennis ball, moving with a speed 2.50 m/s, collides head on...

physics - A softball of mass 0.220 kg that is moving with a speed of 4.0 m/s (in...

physics - A softball of mass 0.220 kg that is moving with a speed of 4.0 m/s (in...

Physics - A 6.00 kg ball (ball 1), moving to the right at a velocity of +1.00 m/...