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 =

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter5: Newton's Laws Of Motion

Section: Chapter Questions

Problem 23PQ: The x and y coordinates of a 4.00-kg particle moving in the xy plane under the influence of a net...

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Special Relativity

The theory of special relativity discusses how space and time are related to objects traveling along a straight line at a constant speed. Simply stated, as an object reaches the speed of light, its mass becomes infinite and it is unable to move faster than light. This interstellar speed limit has been the topic of much debate in astronomy, and also in science fiction when people consider how to fly over large distances.

Question

Answer detailly 1(i)

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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