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1. (1) A particle of mass 5 kg moves so that its position vector after / seconds is r = [(cos2t)i + (4 sin2t + 3)j ]m. Find (a) the magnitude of the position vector of the particle whent = (b) the speed of the particle when t = (c) the magnitude of the force acting on the particle when t =

1. (1) A particle of mass 5 kg moves so that its position vector after / seconds is r = [(cos2t)i + (4 sin2t + 3)j ]m. Find (a) the magnitude of the position vector of the particle whent = (b) the speed of the particle when t = (c) the magnitude of the force acting on the particle when t =

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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1. () A particle of mass 5 kg moves so that its position vector after / seconds is r = [(cos2t)i + (4 sin2t + 3)j ]m. Find (a) the magnitude of the position vector of the particle whent = (b) the speed of the particle when t = (c) the magnitude of the force acting on the particle when t = (ii) The retardation of a particle P moving in a straight line with speed v ms' is (2 + v) ms?. Given that the initial speed of the particle is 10 ms-', find (d) the time which P takes to come to rest, (e) the distance covered during this time.
Transcribed Image Text:1. () A particle of mass 5 kg moves so that its position vector after / seconds is r = [(cos2t)i + (4 sin2t + 3)j ]m. Find (a) the magnitude of the position vector of the particle whent = (b) the speed of the particle when t = (c) the magnitude of the force acting on the particle when t = (ii) The retardation of a particle P moving in a straight line with speed v ms' is (2 + v) ms?. Given that the initial speed of the particle is 10 ms-', find (d) the time which P takes to come to rest, (e) the distance covered during this time.
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