10 points to whoever can answer this gnarly math/astronomy question?
Hi everyone, I’m sorry that this is really a math/astronomy question but the jr high kids have the math page moving so fast asking how to factor equations it’s hard to get an answer.
Here is my problem:
The solar energy hitting 1 square meter of the Earth’s surface is 1360 J/s (the solar constant).
How long does it take a baseball diamond (90 ft on a side) to receive 1 megaton of solar energy?
(Hint: A 1 megaton hydrogen bomb produces about 4 x 10^15 J)
I’ve made some decent progress but still need help. Physics page, you’re my only hope!
Thx
Find the area of the baseball diamond, I’ll call it A.
The answer you’re looking for will be (4*10^15)/(1360*A) seconds
So taking the baseball area to be 90*90 ft² = 8100 ft² = 752.51 m²
Time taken is:
(4*10^15) / (1360 * 752.51) = 3.9*10^9 seconds = 123 years 10 months and about 7 days.
1. Convert 90 ft to meters.
2. Multiply this times 1360 J/s
3. Divide 4 x 10^15J by the answer you got in (2.)