A force F acting on a particle of mass m between t = tị and t = t2 results in the particle tracing a curve C in space. (a) Starting from Newton's second law show that T2 – T = | F. dr, where T; is the kinetic energy at time t;. (b) Now assume that F = (1 – x)³er. If the particle starts from rest at the origin, deter- %3D mine at what position it next comes to rest.
A force F acting on a particle of mass m between t = tị and t = t2 results in the particle tracing a curve C in space. (a) Starting from Newton's second law show that T2 – T = | F. dr, where T; is the kinetic energy at time t;. (b) Now assume that F = (1 – x)³er. If the particle starts from rest at the origin, deter- %3D mine at what position it next comes to rest.
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Transcribed Image Text:A force F acting on a particle of mass m between t = t1 and t = t2 results in the particle
tracing a curve C in space.
(a) Starting from Newton's second law show that
T2 – T1 = |
F. dr,
where T; is the kinetic energy at time t;.
(b) Now assume that F
(1 – x)°e. If the particle starts from rest at the origin, deter-
mine at what position it next comes to rest.
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