Due to a tune-up, the efficiency of an automobile engine increases by 4.00%. For an input heat of 1530 J, how much more work does the engine produce after the tune-up than before?

Well, before the tune-up, the engine was probably going "vroom vroom," but after the tune-up, it's all like "VROOOM VROOOM!" So, it definitely produces more work, but let's do some calculations to find out the exact amount.

If the efficiency increases by 4.00%, that means the engine is now converting a higher percentage of the input heat into work. So, the engine is now just a cool productivity machine!

To find the difference in work produced, we need to calculate the work before and after the tune-up. Let's assume the work produced before the tune-up is W1, and after the tune-up is W2.

W1 = (old efficiency) x (input heat) = (100% - 0%) x 1530 J = 1530 J
(Assuming the old efficiency was 100% since it's before any tune-up)

Now, the new efficiency is 100% + 4% = 104%. Let's calculate the new work produced:

W2 = (new efficiency) x (input heat) = 104% x 1530 J = 1591.2 J

To find the difference in work produced, we subtract W1 from W2:

Difference in work = W2 - W1 = 1591.2 J - 1530 J = 61.2 J

So, after the tune-up, the engine produces 61.2 J more work than before. That's definitely a cause for some engine celebration!

To find the amount of additional work produced by the engine after the tune-up, we first need to calculate the work done before the tune-up.

Work is given by the formula: Work = Efficiency * Input Heat

Before the tune-up:
Efficiency = 100% = 100/100 = 1 (since 100% = 1)
Input Heat = 1530 J

So, the work done before the tune-up is:
Work before = Efficiency * Input Heat = 1 * 1530 J = 1530 J

After the tune-up, the efficiency increases by 4.00%. We need to calculate the new efficiency.

New Efficiency = Old Efficiency + (Old Efficiency * Increase in Efficiency)
Let's calculate the increase in efficiency first.

Increase in Efficiency = 4.00% = 4/100 = 0.04 (since 1% = 0.01)

New Efficiency = 1 + (1 * 0.04) = 1 + 0.04 = 1.04

Now, we can calculate the work done after the tune-up using the new efficiency.

Work after = New Efficiency * Input Heat = 1.04 * 1530 J = 1591.2 J

To find the additional work produced, we subtract the work done before the tune-up from the work done after the tune-up.

Additional work = Work after - Work before = 1591.2 J - 1530 J = 61.2 J

Therefore, the engine produces 61.2 J more work after the tune-up than before.

To calculate the increase in work produced by the engine after the tune-up, we first need to calculate the work produced before the tune-up.

The work done by an engine can be calculated using the formula:

Work = Efficiency * Input Heat

Before the tune-up, the efficiency of the engine was 100%, as stated in the problem. So, the work done before the tune-up is:

Work_before = Efficiency_before * Input Heat
= 100% * 1530 J

Now, let's calculate the work done after the tune-up using the increased efficiency.

Efficiency after the tune-up = Efficiency_before + Increase in efficiency
= 100% + 4.00%
= 104.00%

Work_after = Efficiency_after * Input Heat
= 104.00% * 1530 J

To find how much more work the engine produces after the tune-up than before, we subtract the work before the tune-up from the work after the tune-up:

Increase in work = Work_after - Work_before

Therefore, to find the answer, substitute the values into the equation and calculate:

Increase in work = (104.00% * 1530 J) - (100% * 1530 J)