I need the answer as soon as possible It is given frame Fo and one point P with coordinate p° = [1,2, 3]T in Fo.we do the following rotations.1.) Rotate Fo with respect to the x-axis of Fo by angle 30° to get frameF1:%3D2.) Rotate Fi with respect to the y-axis of Fi by angle 45° to get frameF2;3.) Rotate F2 with respect to the z-axis of Fo by angle 60° to get frameF3;Find the coordinates of the point P in frame F3.

We will be using the idea of rotation matrices to solve this problem. We will first write the matrix…

It is given frame Fo and one point P with coordinate p" = [1, 2, 3]' in Fo. we do the following rotations. 1.) Rotate Fo with respect to the x-axis of Fo by angle 30° to get frame Fi: 2.) Rotate Fi with respect to the y-axis of Fi by angle 45° to get frame F2: 3.) Rotate F2 with respect to the z-axis of Fo by angle 60° to get frame F3: Find the coordinates of the point P in frame F3.

It is given frame Fo and one point P with coordinate p" = [1, 2, 3]' in Fo. we do the following rotations. 1.) Rotate Fo with respect to the x-axis of Fo by angle 30° to get frame Fi: 2.) Rotate Fi with respect to the y-axis of Fi by angle 45° to get frame F2: 3.) Rotate F2 with respect to the z-axis of Fo by angle 60° to get frame F3: Find the coordinates of the point P in frame F3.

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter5: Relativity

Section: Chapter Questions

Problem 35P: Unreasonable Results A spaceship is heading directly toward Earth at a velocity of 0.800c. The...

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Suppose our Sun is about to explode. In an effort to escape, we depart in a spaceship at v = 0.80c and head toward the star Tau Ceti, 12 lightyears away. When we reach the midpoint of our journey from the Earth, we see our Sun explode and, unfortunately, at the same instant we see Tau Ceti explode as well. (a) In the spaceship’s frame of reference, should we conclude that the two explosions occurred simultaneously? If not, which occurred first? (b) In a frame of reference in which the Sun and Tau Ceti are at rest, did they explode simultaneously? If not, which exploded first?
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In a frame S, two events are observed: event 1: a pion is created at rest at the origin and event 2: the pion disintegrates after time Another observer in a frame S' is moving in the positive direction along the positive x-axis with a constant speed v and observes the same two events in his frame. The origins of the two frames coincide at (a) Find the positions and timings of these two events in the frame S' (a) according to the Galilean transformation, and (b) according to the Lorentz transformation.
An alien spaceship traveling at 0.600c toward the Earth launches a landing craft. The landing craft travels in the same direction with a speed of 0.800c relative to the mother ship. As measured on the Earth, the spaceship is 0.200 ly from the Earth when the landing craft is launched. (a) What speed do the Earth-based observers measure for the approaching landing craft? (b) What is the distance to the Earth at the moment of the landing crafts launch as measured by the aliens? (c) What travel time is required for the landing craft to reach the Earth as measured by the aliens on the mother ship? (d) If the landing craft has a mass of 4.00 105 kg, what is its kinetic energy as measured in the Earth reference frame?
(a) All but the closest galaxies are receding from our own Milky Way Galaxy. If a galaxy 12.0109ly ly away is receding from us at 0. 0.900c, at what velocity relative to us must we send an exploratory probe to approach the other galaxy at 0.990c, as measured from that galaxy? (b) How long will it take the probe to reach the other galaxy as measured from the Earth? You may assume that the velocity of the other galaxy remains constant. (c) How long will it then take for a radio signal to be beamed back? (All of this is possible in principle, but not practical.)
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Owen and Dina are at rest in frame S, which is moving with a speed of 0.600c with respect to frame S. They play a game of catch while Ed, at rest in frame S, watches the action (Fig. P26.45). Owen throws the ball to Dina with a speed of 0.800c (according to Owen) and their separation (measured in S) is equal to 1.80 1012 m. (a) According to Dina, how fast is the ball moving? (b) According to Dina, what time interval is required for the ball to reach her? According to Ed, (c) how far apart are Owen and Dina, and (d) how fast is the ball moving? Figure. P26.45
Owen and Dina are at rest in frame S, which is moving with a speed of 0.600c with respect to frame S. They play a game of catch while Ed, at rest in frame S, watches the action (Fig. P26.45). Owen throws the ball to Dina with a speed of 0.800c (according to Owen) and their separation (measured in S) is equal to 1.80 1012 m. (a) According to Dina, how fast is the ball moving? (b) According to Dina, what time interval is required for the ball to reach her? According to Ed, (c) how far apart are Owen and Dina, and (d) how fast is the ball moving? Figure. P26.45