A billiard ball rolling across a table at 1.60 m/s makes a head-on elastic colli

Question

A billiard ball rolling across a table at 1.60 m/s makes a head-on elastic collisionwith an identical ball. Find the speed of each ball after thecollision when each of the following occurs. (a) The second ball is initially at rest. 1st ball m/s 2nd ball m/s (b) The second ball is moving toward the first at a speedof 1.25 m/s. 1st ball m/s 2nd ball m/s (c) The second ball is moving away from the first at a speedof 0.95 m/s. 1st ball m/s 2nd ball m/s

(a) The second ball is initially at rest. 1st ball m/s 2nd ball m/s (b) The second ball is moving toward the first at a speedof 1.25 m/s. 1st ball m/s 2nd ball m/s (c) The second ball is moving away from the first at a speedof 0.95 m/s. 1st ball m/s 2nd ball m/s

1st ball m/s 2nd ball m/s

Explanation / Answer

A billiard ball rolling across a table at 1.60 m/s makes a head-on elastic collisionwith an identical ball. Find the speed of each ball after thecollision when each of the following occurs. (a) The second ball isinitially at rest. formula to be used in this case is V1=[m1-m2/m1+m2]U1+[2m2/m1+m2]U2 V2=[m2-m1/m1+m2]U2+[2m1/m1+m2]U1 applying in each case V1=0 m/sec V2=U1 1st ball m/s 2nd ball m/s (b) The second ball is moving toward the first at a speedof 1.25 m/s. V1=-1.25m/sec means that the first ball reverses its path aftercollision. V2=1.60m/sec 1st ball m/s 2nd ball m/s (c) The second ball is moving away from the first at a speedof 0.95 m/s V1=0.95m/sec V2=1.60m/sec . 1st ball m/s 2nd ball m/s

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