Let's assume for a moment that your house uses an average of 16kwh of electrical energy per day. if you could covert the mass of a 46g golf ball into electrical energy, how many years supply of energy would you have? note: 1 kwh = 3.6 x 10^6 j
use the equation e = mc^2 to solve the question.
show your work. in advance for your !

Holy cow !

Before we do the mass-energy conversion, and then relate that to the
household energy usage, we have to get some numbers in order, and
massage some units etc.:

46 grams = 0.046 kg
c = 3 x 10^8 m/s
c² = 9 x 10^16 m²/s²


Household daily energy consumption:

(16 kilowatt-hour) = (16 x 1,000watt x hour) = (16 x 1,000 joule/sec x hour)

16,000 (joule-hour/sec) x (3,600 sec/hour) = (16,000 x 3,600) = 5.76 x 10^7 joule

I just noticed that the question GAVE us the joule equivalent of 1 kWh, so it
wasn't necessary to derive it.  I checked my figure here against that one, and
got the same number ... 5.76 x 10^7 joule per day.   So I'm OK so far.    yay!


Now we have everything we need:

E = m c² = (0.046) x (9 x 10^16)  =  4.14 x 10^15 joules in a golf ball of mass.

(4.14 x 10^15 joules) / (5.76 x 10^7 joules per day) = 71,875,000 days

That's roughly  196,783 years  of typical household electrical energy use.
(assuming that every year was, is, and shall always be  365-1/4 days.)

Well the magnitude of its acceleration related to that car starts with the oil change like when you have to change the oil in your car you have to make sure that your precious car is starting really propley and very well