Question

4.5×10^17 joules of energy is the equivalent of how much mass in kg?

a) 2.5×10 ^13 kg
b) 2.5×10 ^14 kg
c) 2.5×10 ^15 kg
d) 2.5×10^16 kg

Answer 1

Using the mass-energy equivalence formula, the mass equivalent of 4.5×1017 joules should be approximately 5×109 kg. The provided options do not include this result, indicating a possible error in the given choices.

Step-by-step explanation:

To find the equivalent mass of 4.5×1017 joules of energy, we use the mass-energy equivalence formula E = mc2, where E is energy, m is mass, and c is the speed of light (2.99792458 × 108 meters per second). Re-arranging the formula to solve for m gives us m = E/c2.

Now, plugging in the values, we find:

m = (4.5×1017 J) / ((2.99792458 × 108 m/s)2)

After calculating, the mass is found to be approximately 5 × 109 kg, which is not listed as one of the options provided. It seems there may be a discrepancy or typo in the options given.