14-7. As indicated by the derivation, the principle of work and energy is valid for observers in any inertial reference frame. Show that this is so, by considering the 10-kg block which rests on the smooth surface and is subjected to a horizontal force of 6 N. If observer A is in a fixed frame x, determine the final speed of the block if it has an initial speed of 5 m/s and travels 10 m, both directed to the right and measured from the fixed frame. Compare the result with that obtained by an observer B, attached to the x' axis and moving at a constant velocity of 2 m/s relative to A. Hint: The distance the block travels will first have to be computed for observer B before applying the principle of work and energy. A х 2 m/s 5 m/s 6 N. 10 m

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter39: Relativity
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14-7. As indicated by the derivation, the principle of work
and energy is valid for observers in any inertial reference
frame. Show that this is so, by considering the 10-kg block
which rests on the smooth surface and is subjected to a
horizontal force of 6 N. If observer A is in a fixed frame x,
determine the final speed of the block if it has an initial
speed of 5 m/s and travels 10 m, both directed to the right
and measured from the fixed frame. Compare the result
with that obtained by an observer B, attached to the x' axis
and moving at a constant velocity of 2 m/s relative to A.
Hint: The distance the block travels will first have to be
computed for observer B before applying the principle of
work and energy.
A
х
2 m/s
5 m/s
6 N.
10 m
Transcribed Image Text:14-7. As indicated by the derivation, the principle of work and energy is valid for observers in any inertial reference frame. Show that this is so, by considering the 10-kg block which rests on the smooth surface and is subjected to a horizontal force of 6 N. If observer A is in a fixed frame x, determine the final speed of the block if it has an initial speed of 5 m/s and travels 10 m, both directed to the right and measured from the fixed frame. Compare the result with that obtained by an observer B, attached to the x' axis and moving at a constant velocity of 2 m/s relative to A. Hint: The distance the block travels will first have to be computed for observer B before applying the principle of work and energy. A х 2 m/s 5 m/s 6 N. 10 m
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