91影视

We need to find speed, as a fraction of c, must the rocket travel relative to the earth .

Suppose the voyage is moving at the speed $v$, now since the speed is very close to $C$, the time taken from the earth's frame of reference should be $430y$. But in voyage's frame of reference, it is $20y$.So $纬$is given as $位=\frac{2脳430}{20}=43$Now we know that

$$\begin{gathered} 位=\frac{1}{\sqrt{1-{尾}^2}} \\ 鈬�43=\frac{1}{\sqrt{1-{尾}^2}} \\ 鈬�尾=0.9997 \end{gathered}$$

Now we know that

$$\begin{gathered} 尾=\frac{谓}{C} \\ 鈬�v=尾C=0.9997C \end{gathered}$$

We need to find how much energy is needed to accelerate the rocket to this speed.

The kinetic energy of the rocket is given by$E_k=\frac{m{v}^2}{\sqrt{1-{尾}^2}}=\frac{2000脳{\left(0.9997脳3脳{10}^8\right)}^2}{\sqrt{1-0.{9997}^2}}=7.34脳{10}^{22}J$

We need to Compare this amount of energy to the total energy used by the United States in the year $2015$, which was roughly $1.0脳{10}^{20}J$.

The energy is $\frac{7.34脳{10}^{22}}{1.0脳{10}^{20}}=734$times more than the annual consumption of energy in the year$2010$.