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Determine the amount by which the mass of star a decreases each second, if its power output is 3.28 ✕ 1026 w. (give your answer in kg/s.)

User AndyDBell
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Final answer:

Using Einstein's equation E = mc² and the given power output, the mass of the star decreases by 3.64 kg per second due to its energy output.

Step-by-step explanation:

To determine the decrease in mass of a star per second based on its power output using Einstein's equation E = mc², we will use the given power output of 3.28 × 10²¶ W (watts) as the energy E. According to Einstein's equation, energy E is equal to the mass m times the speed of light c squared. The speed of light c is approximately 3.00 × 10¸ m/s. To find the mass, we rearrange the equation to m = E/c².

Plugging in the values, we have m = (3.28 × 10²¶ W) / (3.00 × 10¸ m/s)². Calculating this gives us the mass decrease per second. Performing the calculation:

m = (3.28 × 10²¶ J/s) / (9.00 × 10±¶ m²/s²) = 3.64 × 10¹ kg/s.

Therefore, the star's mass decreases by 3.64 kg each second due to its energy output.

User Intcreator
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