Posted by **neha** on Tuesday, September 13, 2011 at 6:40am.

A 100g golf ball moving with a velocity of 20 m/s, collides with an 8 kg steel ball at rest,if the collision is elastic,compute the velocities of both balls after the collision.

- physics -
**drwls**, Tuesday, September 13, 2011 at 7:28am
Both kinetic energy and momentum are conserved. Assume a head-on collision with motion along the x axis only.

There is an easy way to do this without aq lot of algebra.

The center-of mass velocity is

Vcm = 0.1*20/8.1 = 0.2469 m/s

In a coordinate system travelling at Vcm, both balls reverse direction and keep the same speed.

Golf ball initial velocity in CM system = 20 - 0.2469 = 19.753 m/s

Golf ball final velocity in CM system = -19.753 m/s

Golf ball final velocity in lab coordinates = -19.753 +.2469 = -19.506 m/s

Steel ball initial velocity in CM coordinates = -0.2469 m/s

Steel ball final velocity in CM coordinates = +0.2469 m/s

Steel ball final velocity in lab coordinates = +0.4938 m/s

Check: Final KE = 0.98 + 19.02 = 20.00 J = Initial KE

Final momentum = 3.9504 - 1.9506 = 2.00 kg m/s = Initial momentum

## Answer this Question

## Related Questions

- physics - A 100g golf ball moving with a velocity of 20 m/s, collides with an 8 ...
- Physics - A 6.00 kg ball (ball 1), moving to the right at a velocity of +1.00 m/...
- physics please help - A 5.00 kg ball (ball 1), moving to the right at a velocity...
- physics help - A 5.00 kg ball (ball 1), moving to the right at a velocity of +4....
- physics please help me - A 5.00 kg ball (ball 1), moving to the right at a ...
- physics please help - A 5.00 kg ball (ball 1), moving to the right at a velocity...
- Physics - A ball of mass m1= .250 kg and velocity v01 = + 5 m/s collides head-on...
- Physics - A 4.90-kg ball, moving to the right at a velocity of +2.50 m/s on a ...
- physics - A ball of mass Ml = 0.250 kg and velocity V01 = +5.00 m/s (see Figure...
- physics - A 8.5 kg steel ball, travelling left to right at 12 m/s, undergoes an ...