We know that momentum is a vector quantity and energy is a scalar quantity. When there is inelastic collision KE is changed in some other form of energy such as heat sound etc. But momentum being a vector does not get converted in other forms By the definition of momentum we can say rate of change of momentum is force. Thus if no external force is applied on the body ,change in momentum of the system is zero. To give a more clear view on this suppose there are 2 conditions 1st Case There are 2 balls moving in opposite direction with say about 2000m/s speed There masses are m Therefore their sum of momentum is 2000m-2000m=0(as they are moving in opposite direction) While their sum of KE is 1/2m(2000*2000)+1/2m(2000*2000) 2nd Case if the same ball is moving in opposite direction with 200m/s speed the momentum of the system would be same as above is 200m-200m=0 But their KE would be 1/2m(200*200)+1/2m(200*200) Note When there is friction or collision with ...