If a car delivers 76.2 hp of power, how much time will it take for the engine to do 5.78e5 J of work?
work= power*time
time= work/power.
convert hp to watts before starting.
To calculate the time it takes for the engine to do a certain amount of work, we need to use the formula:
Work (W) = Power (P) × Time (t)
Given:
Power of the car engine = 76.2 hp
Work to be done = 5.78e5 J
First, we need to convert the power from horsepower (hp) to watts (W) since work is given in joules (J).
1 horsepower = 746 watts
So, the power in watts = 76.2 hp × 746 watts/hp
Let's calculate the power in watts:
Power = 76.2 hp × 746 watts/hp
Power = 56803.2 watts
Now that we have the power in watts, we can rearrange the formula to solve for time:
Time (t) = Work (W) / Power (P)
Substituting the given values:
Time (t) = 5.78e5 J / 56803.2 W
Time (t) = 10.161 seconds (rounded to three decimal places)
Therefore, it will take approximately 10.161 seconds for the engine to do 5.78e5 J of work.