This problem deals quantitatively with the experiment of problem 1.1. Let 5denote the ground frame of reference and 5' the train's rest frame. Let the speedof the train, as measured by ground observers, be 30 m/sec in the x direction, andsuppose the stone is released at t' = a at the point x' = y' = 0, z' = 7.2 m.(a) Write the equations that describe the stone's motion in frame 5'. That is,give x', y', and z' as functions of t'. (Note: A body starting from rest and movingwith constant acceleration g travels a distance 1/2 gt2 in time t. Gravity produces aconstant acceleration whose lnagnitude is approximately 10 m/sec/sec.)(b) Use the Galilean transform,ation to write the equations that describe theposition of the stone in frame S. Plot the stone's position at intervals of 0.2 sec,and sketch the curve that describes its trajectory in frame 5. What curve is this?(c) The velocity acquired by a body starting from rest with acceleration g is gt.Write the equations that describe the three components of the stone's velocity in5', and use the Galilean velocity transformation to find the velocity componentsin S.(d) Find the magnitude of the stone's speed at t = 1 sec in each frame. 1.1. A train moves at a constant speed. A stone on the train is released from rest.(a) Using the principle of relativity, describe the motion of the stone as seenby observers on the train.(b) Using the Galilean transformation, describe the motion of the stone as seenby observers on the ground. Draw a sketch.1.2. This problem deals quantitatively with the experiment of problem 1.1. Let Sdenote the ground frame of reference and $' the train's rest frame. Let the speedof the train, as measured by ground observers, be 30 m/sec in the x direction, andsuppose the stone is released at t'=0 at the point x'=y' =0, z' =7.2 m.(a) Write the equations that describe the stone's motion in frame S'. That is,give x', y', and z' as functions of t'. (Note: A body starting from rest and movingwith constant acceleration g travels a distance 2 gt² in time !. Gravity produces aconstant acceleration whose magnitude is approximately 10 m/sec/sec.)(b) Use the Galilean transformation to write the equations that describe theposition of the stone in frame S. Plot the stone's position at intervals of 0.2 sec,and sketch the curve that describes its trajectory in frame S. What curve is this?() The velocity acquired by a body starting from rest with acceleration g is gt.Write the equations that describe the three components of the stone's velocity inS', and use the Galilean velocity transformation to find the velocity componentsin S.(d) Find the magnitude of the stone's speed at != 1 sec in each frame.

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Answered: 1.2. This problem deals quantitatively…

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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This problem deals quantitatively with the experiment of problem 1.1. Let 5
denote the ground frame of reference and 5' the train's rest frame. Let the speed
of the train, as measured by ground observers, be 30 m/sec in the x direction, and
suppose the stone is released at t' = a at the point x' = y' = 0, z' = 7.2 m.
(a) Write the equations that describe the stone's motion in frame 5'. That is,
give x', y', and z' as functions of t'. (Note: A body starting from rest and moving
with constant acceleration g travels a distance 1/2 gt2 in time t. Gravity produces a
constant acceleration whose lnagnitude is approximately 10 m/sec/sec.)
(b) Use the Galilean transform,ation to write the equations that describe the
position of the stone in frame S. Plot the stone's position at intervals of 0.2 sec,
and sketch the curve that describes its trajectory in frame 5. What curve is this?
(c) The velocity acquired by a body starting from rest with acceleration g is gt.
Write the equations that describe the three components of the stone's velocity in
5', and use the Galilean velocity transformation to find the velocity components
in S.
(d) Find the magnitude of the stone's speed at t = 1 sec in each frame.