Problem Statement: A particle has initial speed v0. It collides with a second pa

Question

Problem Statement: A particle has initial speed v0. It collides with a second particle with the same mass that is initially at rest, and is deflected through an angle phi. Its speed after the collision is v. The second particle recoils, and its velocity makes an angle theta with the initial direction of the first particle. (b). What is v in terms of v0 and phi if the collision is elastic? For this Problem, I got part (A), but when working on part b, I am stuck.
I've gotten, using conservation of energy, that sqroot(v0^2 - v2^2) = v, but I can't seem to solve for v2 independent of theta. Problem Statement: A particle has initial speed v0. It collides with a second particle with the same mass that is initially at rest, and is deflected through an angle phi. Its speed after the collision is v. The second particle recoils, and its velocity makes an angle theta with the initial direction of the first particle. (b). What is v in terms of v0 and phi if the collision is elastic? For this Problem, I got part (A), but when working on part b, I am stuck.

Explanation / Answer

     let m be tha mass of the particles intial velocity of the particle is vo after collision the deflection angle is recoil angle of the second particle is    from law of conservation of momentum mvo=mvcos+mv2cos ......(1) and mvsin=mv2sin .......(2) rearranging 1 and 2 for v    v=votan/(costan+sin)

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