Question

A "satellite is powered" by a small nuclear generator that puts out "15 w". How much matter is converted into energy over the "10 year" life span of the generator?

Answer 1

Hey buddy,

# Answer- 52.56 micrograms

# Given-

Power = 15W = 15J/s

Time = 10year = 10×365×24×60×60 = 315360000s

# Formula-

Total energy produced over 10 years is given by

Energy = power × time

Energy = 15 × 315360000

Energy = 4730400000 J

But Energy=mc^2

4730400000=m×(3×10^8)^2

m = 5.256 × 10^−8 kg

m = 52.56 ug

Total mass produced is 52.56 micrograms.

Hope that was useful...

Answer 2

Answer:

given  P=15W => E=15*10*365.25*24*3600

                             E=4.73*10^9 J

we know E=mc2

               So, m=E/c2

                         =4.73*10^9/(3*10^8)2

                         =0.526*10^-7 kg

                   =>m=53*10^-9 kg = 53 micro gms.