A 500 g particle moves along z-axis according to the equation z (t) = 12 -4t+5t-7t'+t with z in meter and time in seconds. Determine the following: (1) The acceleration at t = 2.5s (ii) The net force acting on the particle at t = 2.5 s.

A 500 g particle moves along z-axis according to the equation z (t) = 12 -4t+5t-7t'+t with z in meter and time in seconds. Determine the following: (1) The acceleration at t = 2.5s (ii) The net force acting on the particle at t = 2.5 s.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter2: Newtonian Mechanics-single Particle

Section: Chapter Questions

Problem 2.38P: The speed of a particle of mass m varies with the distance x as υ(x) = αx−n. Assume υ(x = 0) = 0 at...

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(c) A 500 g particle moves along z-axis according to the equation
z (t) = 12 -4t+5t²-7t'+t with z in meter and time in seconds.
Determine the following:
(1)
The acceleration at t = 2.5 s
(ii)
The net force acting on the particle at t= 2.5 s.

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