Relativity According to the Theory of Relativity, the length L of an object is a function of its velocity v with respect to an observer. For an object whose length at rest is 10 m, the function is given by L ( v ) = 10 1 − v 2 c 2 where c is the speed of light (300,000 km/s). (a) Find L (0.5 c ), L (0.75 c ), and L (0.9 c ). (b) How does the length of an object change as its velocity increases?
Relativity According to the Theory of Relativity, the length L of an object is a function of its velocity v with respect to an observer. For an object whose length at rest is 10 m, the function is given by L ( v ) = 10 1 − v 2 c 2 where c is the speed of light (300,000 km/s). (a) Find L (0.5 c ), L (0.75 c ), and L (0.9 c ). (b) How does the length of an object change as its velocity increases?
Relativity According to the Theory of Relativity, the length L of an object is a function of its velocity v with respect to an observer. For an object whose length at rest is 10 m, the function is given by
L
(
v
)
=
10
1
−
v
2
c
2
where c is the speed of light (300,000 km/s).
(a) Find L(0.5c), L(0.75c), and L(0.9c).
(b) How does the length of an object change as its velocity increases?
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