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Novay_Z [31]
3 years ago
9

Problem 28.3 Suppose that you are planning a trip in which a spacecraZ is to travel at a constant velocity for exactly six month

s, as measured by a clock on board the spacecraZ, and then return home at the same speed. Upon your return, the people on earth will have advanced exactly one hundred years into the future. According to special relaEvity, how fast must you travel? Express your answer to five significant figures as a mulEple of c – for example, 0.95585c.
Physics
1 answer:
iragen [17]3 years ago
3 0

Answer:

v = 0.999981c m/s

Explanation:

Using the time dilation equation

T = \frac{T_{0} }{\sqrt{1 - \frac{v^{2} }{c^{2} } } }

T = stationary time = 100 years

T₀ = 11/12 years = 0.917 years

v = speed of travel in the space = ?

c = speed of light = 3 * 10⁸ m/s

100 = \frac{0.917 }{\sqrt{1 - \frac{v^{2} }{(3*10^{8} )^{2} } } }\\

(0.917/100) ^{2} = 1 - \frac{v^{2} }{ 9 * 10^{16} }

v = 299987395.57 m/s

v = 2.99 * 10⁸ m/s

v = 0.999981c m/s

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Why must one use a reference point to determine whether or not an object is in motion
GaryK [48]
Because there's no such thing as "really" moving. 
ALL motion is always relative to something.

Here's an example:
You're sitting in a comfy cushy seat, reading a book and listening
to your .mp3 player, and you're getting drowsy.  It's so warm and
comfortable, your eyes are getting so heavy, finally the book slips
out of your hand, falls into your lap, and you are fast asleep.

-- Relative to you, the book is not moving at all.
-- Relative to the seat, you are not moving at all.
-- Relative to the wall and the window, the seat is not moving at all.
-- But your seat is in a passenger airliner.  Relative to people on the
    ground, you are moving past them at almost 500 miles per hour !
-- Relative to the center of the Earth, the people on the ground are moving
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-- Relative to the center of the Sun, the Earth and everything on it are moving
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How fast are they REALLY moving ?
There's no such thing.
It all depends on what reference you're using.

7 0
3 years ago
A black lift of amber is placed in water and a laser beam travels from the water through the amber. The angle of incidence is 35
horsena [70]

Answer:

Explanation:

refractive index of ember = sin of angle of incidence / sin of angle of refraction

= sin 35 / sin24

= .5735 / .4067

= 1.41

This is refractive index of ember with respect to water

refractive index of ember with respect to water

= wμe = μe / μw

μe = wμe x  μw

= 1.33 x 1.41

= 1.87

refractive index of ember with respect to air = 1.87 .

6 0
3 years ago
A woman flies 300 kilometers north, 200 kilometers west, and 500 kilometers south. How far is she from her starting point?
maria [59]
She is
\sqrt{200^2+200^2}=  ~282.84 kilometers away from her starting point
5 0
4 years ago
on a very muddy football field, a 120 kg linebacker tackles an 75 kg halfback. immediately before the collision, the linebacker
Aleksandr-060686 [28]
B4 the tackle: 

<span>The linebacker's momentum = 115 x 8.5 = 977.5 kg m/s north </span>

<span>and the halfback's momentum = 89 x 6.7 = 596.3 kg m/s east </span>


<span>After the tackle they move together with a momentum equal to the vector sum of their separate momentums b4 the tackle </span>

<span>The vector triangle is right angled: </span>

<span>magnitude of final momentum = √(977.5² + 596.3²) = 1145.034 kg m/s </span>

<span>so (115 + 89)v(f) = 1145.034 ←←[b/c p = mv] </span>

<span>v(f) = 5.6 m/s (to 2 sig figs) </span>


<span>direction of v(f) is the same as the direction of the final momentum </span>

<span>so direction of v(f) = arctan (596.3 / 977.5) = N 31° E (to 2 sig figs) </span>


<span>so the velocity of the two players after the tackle is 5.6 m/s in the direction N 31° E </span>




<span>btw ... The direction can be given heaps of different ways ... N 31° E is probably the easiest way to express it when using the vector triangle to find it</span>
4 0
3 years ago
What is the person’s displacement for the trip?<br><br> what is a vector quantity? give an example.
borishaifa [10]

Answer:

+ 3.0 m

Explanation:

displacement is shortest distance from fixed point O in particular direction . in diagram shortest distance at end from O is 3 m and it is right of O so +. HENCE +3.0m

4 0
3 years ago
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