**8. An application to mechanics**A particle \( x(t) \) of mass 1 kg is moving along a horizontal straight line (positively oriented on the right). The particle is under the effect of a positive constant force \( F(t) = g \). Knowing that the particle was initially at the origin, with negative speed \( -v_0 \), find the expression of \( x(t) \) at time \( t \) in terms of \( g \) and \( v_0 \), and find the position further on the left where the particle will be. Finally, find the expression of the time \( T \) when the particle will be back at the origin.

The equation of motion is mdvdt=Ft=g We solve this with the help of initial conditions.

An application to mecanics A particule x(t) of mass 1kg is moving along an horizontal straight line (positively oriented on the right). The particle is under the effect of a positive constant force F(t) = g. Knowing that the particle what initially at the origin, with negative speed -vo, find the expression of r(t) time t in terms of g and to and find the position further on the left where the particule will be. Finally, find the expression of the time T when the particle will be back at the origin.

An application to mecanics A particule x(t) of mass 1kg is moving along an horizontal straight line (positively oriented on the right). The particle is under the effect of a positive constant force F(t) = g. Knowing that the particle what initially at the origin, with negative speed -vo, find the expression of r(t) time t in terms of g and to and find the position further on the left where the particule will be. Finally, find the expression of the time T when the particle will be back at the origin.

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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