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23 Nov 2019

Explain, using examples, why seemingly simultaneous events might occur at different times and different places, depending on your frame of reference.

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Patrina Schowalter
Patrina SchowalterLv2
11 Oct 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

Learning Goal: To understand length contraction and timedilation.

An inertial frame of reference is one in which Newton's laws hold.Any frame of reference that moves at a constant speed relative toan inertial frame of reference is also an inertial frame. Theproper length l_0 of an object is defined to be the length of theobject as measured in the object's rest frame. If the length of theobject is measured in any other inertial frame, moving with speed urelative to the object's rest frame (in a direction parallel tol_0), the resulting length l is given by the length contractionequation

l = l_0\sqrt{1-\frac{u^2}{c^2}} ,

where c is the speed of light. Similarly, if two events occur atthe same spatial point in a particular reference frame, and anobserver at rest in this frame measures the time interval betweenthese two events, the time interval so measured is defined to bethe proper time Delta t_0. When the time interval is measured inany other inertial frame, again moving with speed u relative to thefirst frame, the resulting time interval Delta t is given by thetime dilation equation

\Delta t = \frac{\Delta t_0}{\sqrt{1-\frac{u^2}{c^2}}} .

a. Suppose that you measure the length of a spaceship, at restrelative to you, to be 400 \rm m. How long will you measure it tobe if it flies past you at a speed of u = 0.75c?
Express the length l in meters to three significant figures.

b. The spaceship from Part A has a large clock attached to itsside. This clock ran at the same rate as your watch when you werein the same reference frame. How much time Delta t will pass onyour watch as 80 \rm s passes on the clock attached to theship?
Express your answer in seconds to three significant figures.

c. Two spaceships, named A and B, are flying toward each other withrelative speed 0.800c. If the captain of ship A fires a missile,counts 10.0 \rm s on his watch, and then fires a second missile,how much time Delta t will the captain of ship B measure to havepassed between the firing of the two missiles?
Express your answer in seconds to three significant figures.

d. The captain of ship B knows that ship A uses 2-m-long missiles.She measures the length of the first missile, once it has finishedaccelerating, and finds it to be only 0.872 \rm m long. What is thespeed u of the missile, relative to ship B?
Express your answer in meters per second to three significantfigures. Use c = 3 \times 10^8 \; \rm m/s.

Please answer fully... thank you

Three digital clocks A, B, and C run at different rates and do nothave simultaneous readings of zero. The Figure shows simultaneousreadings on pairs of the clocks for four occasions. (At theearliest occasion, for example, B reads 25.0 s and C reads 92.0 s.)If two events are 300 s apart on clock A, how far apart are they on(a) clock B and (b) clock C? (c) When clock A reads 420 s, whatdoes clock B read? (d) When clock C reads 6 s, what does clock Bread? (Assume negative readings for prezero times.)

(couldn't get chart in this box, so I linked the textbook)


Three digital clocks A, B, and C run at different rates and do nothave simultaneous readings of zero. The Figure shows simultaneousreadings on pairs of the clocks for four occasions. (At theearliest occasion, for example, B reads 25.0 s and C reads 92.0 s.)If two events are 200 s apart on clock A, how far apart are they on(a) clock B and (b) clock C? (c) When clock A reads 400 s, whatdoes clock B read? (d) When clock C reads 24 s, what does clock Bread? (Assume negative readings for prezero times.)

(a)


Number
*1

Units


(b)


Number
*2

Units


(c)


Number
*3

Units


(d)


Number
*4

Units

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