THE PROBLEM In the Large Hadron Collider, protons have head-on collisions with e

Question

THE PROBLEM In the Large Hadron Collider, protons have head-on collisions with each other at almost the speed of light. The protons are smashed to pieces. Here we will consider a lower energy machine where the protons are not quite as speedy and they remain intact Suppose one proton comes from the left at v Li =680 km/s and another proton comes from the right at vRi=1050 km/s. After the head-on elastic collision, what are the proton velocities? PAPER SOLUTION INTERPRET Identify all of the true statements. A. Mechanical energy is conserved B. This is a one-dimensional problem. C. Momentum is conserved. D. None of the above. DEVELOP Let's define the i axis to point toward the right. In your answers below, type vLi and vRi to represent the speeds vi and vRi Derive an algebraic expression for the velocity of the proton that came from the left Lf Derive an algebraic expression for the velocity of the proton that came from the right. EVALUATE ASSESS

Explanation / Answer

in case of elastic collision,

when mass is same then velocities get exchanged.

vLF = - vRi i

vRf = vLi i

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