Starting with equations for conservation of momentum in the x - and y -directions and assuming that one object is originally stationary, prove that for an elastic collision of two objects of equal masses, as discussed in the text.

Step-by-step solution In this problem by sing law of conservation of momentum prove the following: Step 1 of 8 The conservation of momentum in the x - and –directions are given by the equations and . Use it to find the required result. Step 2 of 8 Since, the masses two object are same. Therefore, Here, is the mass of first object and is the mass of second object. Step 3 of 8 The equation for the conservation of momentum in x direction is, Here, is the initial velocity of first object, velocity of first object after collision, is the velocity of the second object after collision. Step 4 of 8 Substitute, for and in the above equation, Square it on both sides, …… (1)