NEET Physics Centre of Mass Match the Following Question
Match Column-I with Column-II.
| Column-I | Column-II |
|---|---|
| (a) Momentum conservation in elastic collision | (i) m1v1i = m1v1f + m2v2f |
| (b) Kinetic energy conservation in elastic collision | (ii) 1/2 m1v1i^2 + 1/2 m2v2i^2 = 1/2 m1v1f^2 + 1/2 m2v2f^2 |
| (c) Work-energy principle for stopping force | (iii) W = -2000 J |
| (d) Momentum conservation for inelastic collision | (iv) m1v1i = (m1 + m2)vf |
a-i, b-ii, c-iii, d-iv
a-i, b-iv, c-iii, d-ii
a-ii, b-i, c-iv, d-iii
a-iv, b-iii, c-ii, d-i
Correct Answer
Detailed Explanation
In the context of elastic collisions, momentum conservation is accurately represented by the equation m1v1i = m1v1f + m2v2f and kinetic energy conservation is represented correctly by 1/2 m1v1i^2 + 1/2 m2v2i^2 = 1/2 m1v1f^2 + 1/2 m2v2f^2. The work done by the stopping force is calculated as W = -2000 J, and inelastic collision momentum conservation is given by m1v1i = (m1 + m2)vf.
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