To find out how long the engine would have to run to produce 3.60 x 10^4 J of work, we first need to determine the power output of the engine. The power generated by the engine is given as 2984 W.
To calculate the time it would take for the engine to produce 3.60 x 10^4 J of work, we can use the formula:
time = work / power
where work is measured in joules and power is measured in watts.
So, we can substitute in the values we know:
time = 3.60 x 10^4 J / 2984 W
If we perform the calculation we will get:
time = 12 seconds
So, the engine would have to run for 12 seconds to produce 3.60 x 10^4 J of work.
I hope this helps :)