Question

A quarter-pound hamburger with all the fixings has a mass 180 g. The food energy of the hamburger is 2.5 MJ.What is the energy equivalent of the mass of the hamburger?(answer is 1.6*10^16 J)By what factor does the energy equivalent exceed the food energy?

Answer 1

Answer:

$1.62\times 10^{16}\ J$

6480000000

Explanation:

m = Mass of hamburger = 180 g

c = Speed of light = $3\times 10^8\ m/s$

From the mass energy equivalence

$E=mc^2\\\Rightarrow E=0.18\times (3\times 10^8)^2\\\Rightarrow E=1.62\times 10^{16}\ J$

The mass equivalent energy is $1.62\times 10^{16}\ J$

Food energy of the hamburger = 2.5 MJ

Factor

$\frac{1.62\times 10^{16}}{2.5\times 10^6}=6480000000$

The factor by which the energy equivalent exceed the food energy is 6480000000