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.
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.32P
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![An elastic collision
Demonstrate that for a perfectly elastic collision between two objects with masses m1 and m2
and initial velocities v1 and V2, the final velocities v and v½ are:
2m2
(m1 – M2▼
+ v2
\m1
vý = v1
+ m2.
\m1 + m2.
and
(m2 – m1
+ v2
\m, + m2.
2m1
v2 = v1
\m1 + m2.](/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 m1 and m2
and initial velocities v1 and V2, the final velocities v and v½ are:
2m2
(m1 – M2▼
+ v2
\m1
vý = v1
+ m2.
\m1 + m2.
and
(m2 – m1
+ v2
\m, + m2.
2m1
v2 = v1
\m1 + m2.
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