High School

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According to Einstein's energy-mass equivalence equation, the energy of an object is proportional to its mass. If a silver dollar with a mass of [provide mass] grams has [provide energy] joules of energy, how much energy does a gold dollar have?

A. 44.3 joules
B. 65.7 joules
C. 87.1 joules
D. 98.5 joules

Answer :

Final answer:

The energy contained within a mass is equal to the mass times the speed of light squared, but this calculation cannot be performed without the mass of the gold dollar. So, none of the given options are correct.

Explanation:

According to Einstein's energy-mass equivalence equation, E = mc2, the energy (E) contained in a mass (m) is equal to the mass multiplied by the speed of light (c) squared. The speed of light is a constant (approximately 3 x 108 meters per second), so the energy content of an object is directly proportional to its mass. For example, 1 gram of matter converted into energy would release a significant amount of energy (in the order of 9 x 1013 joules), indicating the vast potential energy stored within matter due to its mass. Unfortunately, the information about the mass of the gold dollar is missing, hence we cannot calculate its energy content without this critical detail.

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