Question

If an automobile engine delivers a power of 50.0 hp, how much time will it take for the engine to do 6.40 x 10⁵ j of work? (1 hp= 746 W)

Answer 1

To find out how long it takes a 50.0 hp engine to do 6.40 x 10⁵ J of work, we first convert horsepower to watts, and then divide the work by the power. This will give us the time in seconds necessary for the engine to perform the work.

Step-by-step explanation:

Calculating Time to Perform Work with a Given Power Output

The question asks us to determine the time required for an automobile engine, with a power output of 50 hp, to perform 6.40 x 10⁵ J of work. Using the conversion factor that 1 hp equals 746 W, we can convert horsepower to watts. Since power is the rate at which work is done or energy is converted, the equation power (P) = work (W) / time (t) can be rearranged to solve for time, t = W / P.

Step-by-step calculation:

1. 
   
3. Convert horsepower to watts: 50.0 hp * 746 W/hp = 37300 W.
4. 
   
6. Calculate time: time = work / power = 6.40 x 10⁵ J / 37300 W.
7. 
   
9. Perform division to find time in seconds.

The result will give us the time in seconds that the engine will take to perform 6.40 x 10⁵ J of work with a power output of 50 hp.