Note: One horsepower is equal to 746 watts.

An automobile engine delivers 53.1 hp.
How much time will it take for the engine
to do 8.43 × 10
5J of work?
Answer in units of s

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.