a large nuclear power plant generates electric energy at the rate of 1000 MW. how many joules of electricity does the plant generate in one day? what is the mass of this much energy?

the answer is please answer it so i can finish my homework

To calculate the amount of electricity generated in one day by the nuclear power plant, you need to convert the power (in megawatts) to energy (in joules) and then multiply it by the number of seconds in a day.

Step 1: Convert the power from megawatts to watts:
1 megawatt (MW) = 1,000,000 watts (W)

So, the power generated by the plant is 1000 MW = 1,000,000 watts.

Step 2: Calculate the energy generated per second:
Energy = Power × Time
In this case, the time is one day, which is equal to 24 hours.

1 day = 24 hours × 60 minutes/hour × 60 seconds/minute

This gives us:
1 day = 86,400 seconds

Step 3: Calculate the total energy generated in one day:
Energy generated per day = Power × Time
Energy generated per day = 1,000,000 watts × 86,400 seconds

Now, multiply the two values to find the energy generated per day.

Step 4: Calculate the mass of this much energy:
To determine the mass of the energy, we will use Albert Einstein's famous equation E = mc^2, where E is the energy and c is the speed of light.

The equation can be rearranged to solve for mass (m):
m = E / c^2

Where c is the speed of light, approximately 3 × 10^8 meters per second.

Now you can calculate the mass using the energy obtained from Step 3:

Mass (m) = Energy generated per day / (Speed of light)^2

Plug in the values and calculate to find the mass.

Please note that the mass referred to in this context is the equivalent mass-energy based on Einstein's equation, not the physical mass of any physical object.