Show that for a single particle with constant mass the equation of motion implies the following differential equation for the kinet ic energy: dT F v, %3D dt while if the mass varies with time the corresponding equation is d(mT) = F.p. dt

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter31: Particle Physics
Section: Chapter Questions
Problem 57P
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Show that for a single particle with constant mass the equation of motion implies
the following differential equation for the kinet ic energy:
dT
F v,
%3D
dt
while if the mass varies with time the corresponding equation is
d(mT)
= F.P.
dt
Transcribed Image Text:Show that for a single particle with constant mass the equation of motion implies the following differential equation for the kinet ic energy: dT F v, %3D dt while if the mass varies with time the corresponding equation is d(mT) = F.P. dt
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