Question

According to the special theory of relativity, the laclar y thal determines the length contraction and the time dilation is given by y=1/11 - 1 Determine the numerical values of y for an object moving at spoed v = 0.01 0.05c, 0.10c, 0.26c, 0.30, 0.40c, 0.50, 0.60c, 0.706, 0.804, 0.90c, and 0.99c. Make a graph of y versus u. 000 No elements selected 00 01 02 03 08 09 10 04 05 06 07 ule Select the elements from the list and add them to the canvas setting the appropriate attributes. Press TAB to get to the maint

Can you please show your work and the x/y values associated with each point on your graph? Thank you.

Answer 1

y= -v2/c²

v=0.01c
,
000 L = 100-IN = 1

y = 0,050
,
V1-0.057 = 1.001

v=0.10
,
V1 -0.12 = 1.005

y = 0,26
,
raoT CF

v=0,30
,
V1 -0.32 = 1.048

V = 0.4c
,
- - - L01 V1 -0.12 = 1.091

v = 0,50
,
v=vi-053 = 1.155

y = 0,60
,
- VI -0.62 = 1.250

v= 0.70
, $\gamma=\frac{1}{\sqrt{1-0.7^2}}=1.400$

380 = 1
,
V1 -0.82 = 1.667

36'0 = 1
,
V1 -0.92 = 2.294

366'0 = 1
,
= 7.089

On the X axis is plotted and on Y axis $\gamma$ is plotted.

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