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

`1.62* 10^(16)\ J`

6480000000

Step-by-step explanation:

m = Mass of hamburger = 180 g

c = Speed of light =
`3* 10^8\ m/s`

From the mass energy equivalence

`E=mc^2\\\Rightarrow E=0.18* (3* 10^8)^2\\\Rightarrow E=1.62* 10^(16)\ J`

The mass equivalent energy is
`1.62* 10^(16)\ J`

Food energy of the hamburger = 2.5 MJ

Factor

`(1.62* 10^(16))/(2.5* 10^6)=6480000000`

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