A ball with a mass of # 23 kg# is rolling at #25 m/s# and elastically collides with a resting ball with a mass of # 2 kg#. What are the post-collision velocities of the balls?

Question

A ball with a mass of # 23  kg# is rolling at #25   m/s# and elastically collides with a resting ball with a mass of #   2    kg#. What are the post-collision velocities of the balls?

Benjamin Asiedu · Accepted Answer

#v_(2a)=1,038 m/sec#
#v_(1a)=23,962 m/sec# #Sigma P_b= Sigma P_a# #Sigma P_b": sum of momentums before"# #Sigma P_a:" sum of momentums after"# #23*25+0=23*v_(1a)+2*v_(2a)# #575=23*v_(1a)+2*v_(2a)# #v_(1b)+v_(2b)=v_(1a)+v_(2a)# #25+0=v_(1a)+v_(2a) " # #v_(1a)=25-v_(2a)# #575=23(25-v_(2a))+2*v_(2a)# #575=575*v_(2a)-23*v_(2a)+2*v_(2a)# #554*v_(2a)=575# #v_(2a)=1,038 m/sec# #25=v_(1a)+1,038# #v_(1a)=25-1,038# #v_(1a)=23,962 m/sec#

Parker Abbott · Answer

undefined To find the post-collision velocities of the balls, we can use the principle of conservation of momentum and the equation for elastic collisions. Firstly, we calculate the total momentum before the collision, which is the sum of the individual momentums of the two balls. Then, we apply the conservation of momentum to find the total momentum after the collision. Using this total momentum, we can calculate the velocities of the balls after the collision using the equation for elastic collisions. The post-collision velocities of the balls can be determined by substituting the given masses and initial velocities into the equation and solving for the final velocities.