A 5-kg mass moves under the influence of a force F = (4r²î–3tĵ) N, where t is the time in seconds (1 N = 1 newton). It starts at rest from the origin at t = 0. Find: (a) its velocity; (b) its position; and (c) r × v, for any later time.

A 5-kg mass moves under the influence of a force F = (4r²î–3tĵ) N, where t is the time in seconds (1 N = 1 newton). It starts at rest from the origin at t = 0. Find: (a) its velocity; (b) its position; and (c) r × v, for any later time.

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 2.51P: Let us make the (unrealistic) assumption that a boat of mass m gliding with initial velocity v0 in...

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2.1 Time-dependent force*
A 5-kg mass moves under the influence of a force F = (4²î-3ĵ) N,
where t is the time in seconds (1 N = 1 newton). It starts at rest
from the origin at t = 0. Find: (a) its velocity; (b) its position; and
(c) r x v, for any later time.

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