A half-cup of ice cream contains about 200 food Calories. How much
power can be produced if the energy in a cup of ice cream is expended
over a period of 10 minutes (600 seconds)? Each food Calorie is equal to 4,184 joules. Write your answer in watts and then in horsepower
200 food calories for a half cup
so
400 for a whole cup
400 cal (4184 J/cal) = 1,673,600 J
watts = 1,673,600 J/600 s = 2789 Watts
which is 3.74 hp
You are welcome.
thank u Damon
A/ p=836800/600=1394.67WATTS
B/ hp=1394.6/746=1.86hp
To calculate the power that can be produced when the energy in a cup of ice cream is expended over a period of 10 minutes, we need to convert the energy from Calories to joules, and then divide by the time in seconds.
Given that each food Calorie is equal to 4,184 joules, and a half-cup of ice cream contains about 200 food Calories, we can calculate the total energy in joules:
Energy = (200 food Calories) x (4,184 joules/food Calorie)
Now, we convert the time from minutes to seconds:
Time = 10 minutes x 60 seconds/minute
Finally, we can calculate the power in watts:
Power = Energy / Time
Substituting the values:
Power = [(200 food Calories) x (4,184 joules/food Calorie)] / (10 minutes x 60 seconds/minute)
Simplifying the expression:
Power = (200 x 4,184) / (10 x 60) watts
Calculating the value:
Power ≈ 1394.67 watts
To convert watts to horsepower, we know that 1 horsepower is equal to approximately 746 watts:
Power (in horsepower) = Power (in watts) / 746
Substituting the value:
Power (in horsepower) ≈ 1394.67 watts / 746 ≈ 1.87 horsepower
Therefore, the power that can be produced if the energy in a cup of ice cream is expended over a period of 10 minutes is approximately 1394.67 watts or approximately 1.87 horsepower.