6 1/2 joules. particles looses 0.08 joule of energy every 15 seconds what will energy after 4 minutes.

Would this be 6 1/2 - 1.28 divide by 4

To find the energy after 4 minutes, we need to calculate the energy loss per second and then multiply it by the total number of seconds in 4 minutes.

Given that the particle loses 0.08 joules of energy every 15 seconds, we can calculate the energy loss per second by dividing 0.08 joules by 15 seconds:

Energy loss per second = 0.08 joules / 15 seconds = 0.0053333 joules/second (rounded to 7 decimal places)

Next, we need to find the total number of seconds in 4 minutes. Since there are 60 seconds in a minute, there are:

Total seconds in 4 minutes = 4 minutes * 60 seconds/minute = 240 seconds

Finally, we can calculate the energy after 4 minutes by subtracting the total energy loss from the initial energy of 6 1/2 joules:

Energy after 4 minutes = (6 1/2 joules) - (0.0053333 joules/second * 240 seconds)

To perform the calculation, we first convert the mixed fraction 6 1/2 to an improper fraction:

6 1/2 = (2 * 6 + 1) / 2 = 13/2

Energy after 4 minutes = (13/2 joules) - (0.0053333 joules/second * 240 seconds)

Now we can simplify the calculation:

Energy after 4 minutes = 13/2 joules - 1.28 joules

To subtract the fractions, we need a common denominator:

Energy after 4 minutes = (13/2 joules) - (1.28 joules * 2/2) = 13/2 joules - 2.56 joules/2

Energy after 4 minutes = (13/2 - 2.56)/2 joules

Now we can perform the subtraction:

Energy after 4 minutes = (6.44/2) joules = 3.22 joules

Therefore, the energy after 4 minutes is approximately 3.22 joules.