In nuclear fission and fusion reactions mass is converted into energy. The average person in US uses around 100,000,000 J of energy per year.
(a) Calculate the yearly energy consumption for a US population of 300 million.
(b) Using Einstein's famous formula, E = m c^2, calculate the energy that would be released if a 60 kg person were converted entirely into energy.
(c) How many years would this amount of energy support a population of 300 million?

Respuesta :

Answer:

a) The yearly energy consumption for a US population of 300 million is [tex]3\times 10^{16} J/year[/tex]

b) The energy that would be released if a 60 kg person were converted entirely into energy is [tex]5.4\times 10^{18} [/tex] Joules.

c) 180 years would this amount of energy support a population of 300 million.

Explanation:

a) Average energy consumed by single person of US = 100,000,000 J/year

Then 300 million US citizen will consume:

300 million = 300 × 1,000,000 = [tex]3\times 10^8[/tex]

The yearly energy consumption for a US population :

[tex]100,000,000 J/year\times 3\times 10^8=3\times 10^{16} J/year[/tex]

The yearly energy consumption for a US population of 300 million is [tex]3\times 10^{16} J/year[/tex]

b) [tex]E = m\times c^2[/tex]

E = Energy from converted mass of m

c = speed of light

Given mass of person = m = 60 kg

[tex]E=60 kg\times (3\times 10^8 m/s)^2 = 5.4\times 10^{18} J[/tex]

c) Energy calculated in part (b) = [tex]E=5.4\times 10^{18} J[/tex]

The yearly energy consumption for a US population  of 300 million in an year = [tex]3\times 10^{16} J/year[/tex]

Let the that would be supported by [tex]5.4\times 10^{18} [/tex] Joules of energy be x.

[tex]x\times 3\times 10^{16} J/year=5.4\times 10^{18} J[/tex]

[tex]x=\frac{5.4\times 10^{18} J}{3\times 10^{16} J/year}=180 years[/tex]

180 years would this amount of energy support a population of 300 million.

Answer:

Explanation:

2/7 = 8/28

1/4 = 7/28

Therefore Mr Pham mowed more.

8+7 = 15 so 15/28 of lawn has been mowed, therefore 13/28 of the lawn is left still to be mowed. NO RIGHT