Question

Every day our Earth receives 1.550x1022 J energy from the Sun. If we were able to use 0.75 percent of this energy to accelerate spaceships, then how many missions would be possible in one year?

Answer 1

Answer:

Total no. of missions in a year = 3 (approx)

Given:

Total Energy received by the Earth from the sun per day = $1.550\times 10^{22 J$

Percent Energy used to accelerate spaceship = 0.75%

Solution:

Now, to calculate the number of launches possible in a year, we first calculate the number of days this energy would last and it is given by:

Number of days for the energy to last, n = $\frac{Total enenrgy}{0.75%\times Total Energy}$

Number of days for the energy to last, n = $\frac{1.550\times 10^{22}}{0.75\times 10^{- 2}\times 1.550\times 10^{22}}$ = 133.34 days

Total no. of missions in a year = $\frac{No. of days in a year}{n}$

Total no. of missions in a year = $\frac{365}{133.34}$ = 2.7

Total no. of missions in a year = 3 (approx)