Demonstrate that for a perfectly elastic collision between two objects with masses m1 and m2 and initial velocities vi and v2, the final velocities v and v are: (m1 – m2 2m2 vị = v1 + v2 \m1 + m2. \m1 + m2. and 2m1 m1 (M2 + v2 \m, + m2. v2 = v1 \M1 + m2.
Demonstrate that for a perfectly elastic collision between two objects with masses m1 and m2 and initial velocities vi and v2, the final velocities v and v are: (m1 – m2 2m2 vị = v1 + v2 \m1 + m2. \m1 + m2. and 2m1 m1 (M2 + v2 \m, + m2. v2 = v1 \M1 + m2.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![**An Elastic Collision**
Demonstrate that for a perfectly elastic collision between two objects with masses \( m_1 \) and \( m_2 \) and initial velocities \( v_1 \) and \( v_2 \), the final velocities \( v'_1 \) and \( v'_2 \) are:
\[
v'_1 = v_1 \left( \frac{m_1 - m_2}{m_1 + m_2} \right) + v_2 \left( \frac{2m_2}{m_1 + m_2} \right)
\]
and
\[
v'_2 = v_1 \left( \frac{2m_1}{m_1 + m_2} \right) + v_2 \left( \frac{m_2 - m_1}{m_1 + m_2} \right)
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe799f64b-1f0b-4ff1-9ee3-5090ddf07729%2F107f54e4-664e-48e4-ade3-259d0a11ab58%2F22umr0m_processed.png&w=3840&q=75)
Transcribed Image Text:**An Elastic Collision**
Demonstrate that for a perfectly elastic collision between two objects with masses \( m_1 \) and \( m_2 \) and initial velocities \( v_1 \) and \( v_2 \), the final velocities \( v'_1 \) and \( v'_2 \) are:
\[
v'_1 = v_1 \left( \frac{m_1 - m_2}{m_1 + m_2} \right) + v_2 \left( \frac{2m_2}{m_1 + m_2} \right)
\]
and
\[
v'_2 = v_1 \left( \frac{2m_1}{m_1 + m_2} \right) + v_2 \left( \frac{m_2 - m_1}{m_1 + m_2} \right)
\]
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