Question

Compute the rest energy of 1 gram of matter. If you could convert this energyentirely into electrical energy and sell it for 15 cents per kilowatt-hour, howmuch money would you get

Answer 1

Answer:

Rest energy = (9.00 × 10¹³) J

Amount in dollars that can be obtained if the rest energy is entirely converted to electrical energy is $3,750,300

Step-by-step explanation:

According to Einstein's formula, rest energy (E) is given as

E = mc²

m = mass = 1 g = 0.001 kg

c = speed of light = (3.00 × 10⁸) m/s

E = 0.001 × (3.00 × 10⁸)²

E = (9.00 × 10¹³) J

Converting this energy to KWh

1 J = (2.778 × 10⁻⁷) KWh

(9.00 × 10¹³) J = (9.00 × 10¹³) × (2.778 × 10⁻⁷)

= 25,002,000 KWh.

1 kWh = 15 cents

25,002,000 KWh = 15 × 25,002,000 = 375,030,000 cents = $3,750,300

Hope this Helps!!!