To find the time it takes for the engine to do a certain amount of work, we can use the formula:
Work = Power x Time
Given that the engine delivers 53.1 horsepower and the work is 8.43 × 10^5 J, we need to convert the horsepower to watts before proceeding with the calculation.
1 horsepower = 746 watts
First, let's convert the engine's power from horsepower to watts:
53.1 horsepower * 746 watts/horsepower = 39,570.6 watts
We have the power in watts, so now we can rearrange the formula to solve for time:
Time = Work / Power
Plugging in the values:
Time = 8.43 × 10^5 J / 39,570.6 watts
Dividing these numbers will give us the time in seconds:
Time ≈ 21.29 seconds
Therefore, it will take approximately 21.29 seconds for the engine to do 8.43 × 10^5 J of work.