Answer:
Explanation:
Let the required velocity of rocket be v .
We shall use the formula of time dilation to find the velocity of rocket .
t = [tex]\frac{t'}{\sqrt{1-\frac{v^2}{c^2} } }[/tex]
t = 430
t' = 38
[tex]430=\frac{38}{\sqrt{1-\frac{v^2}{c^2} } }[/tex]
[tex]\sqrt{1-\frac{v^2}{c^2} } }=\frac{38}{430}[/tex]
[tex]1-\frac{v^2}{c^2}[/tex] = .0078
[tex]\frac{v^2}{c^2}[/tex] =.9922
[tex]\frac{v}{c}[/tex] = .996
v = .996 x 3 x 10⁸ m /s
= 2.988 x 10⁸ m /s
B )
Kinetic energy of rocket
= 1/2 m v²
= .5 x 20000 x (2.988 x 10⁸ )²
= 8.9 x 10²⁰ J .
C )
This energy is 8.9 times the energy requirement of United states in the year 2005 .
