Math  /  Algebra

QuestionFor an elastic collision, both energy and momentum are conserved for a system. In this particular elastic collision, assume that it is a head-on collision in one dimension. The first object has a mass of m1m_{1} and initial speed of v1iv_{1 i}, and the second object has a mass of m2m_{2} and is initially at rest. Follow these steps to find the final speeds v1fv_{1 f} and v2fv_{2 f} of the two objects after the elastic collision. Record your answers in your lab notebook before turning in this worksheet.
1. Write an expression for the initial kinetic energy of (2 pts): a. Object 1 b. Object 2
2. Write an expression for the final kinetic energy of (2 pts): a. Object 1 b. Object 2
3. Write an equation for conservation of kinetic energy for this collision. (2 pts)
4. Write an expression for the initial momentum of (2 pts): a. Object 1 b. Object 2

Studdy Solution
Since object 2 is initially at rest, its initial momentum is: p2i=m2×0=0 p_{2i} = m_2 \times 0 = 0
The expressions for initial kinetic energy, final kinetic energy, conservation of kinetic energy, and initial momentum have been successfully derived.

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