Assume that the kinetic energy of a 1600 car moving at 125 is converted entirely into heat.How many calories of heat are released?
To calculate the amount of heat released, we need to use the equation:
Heat = Kinetic Energy
First, let's calculate the kinetic energy (KE) of the car using the formula:
KE = (1/2) * mass * velocity^2
Given:
Mass of the car, m = 1600 kg
Velocity of the car, v = 125 m/s
Plugging the values into the formula, we get:
KE = (1/2) * 1600 kg * (125 m/s)^2
Now, let's calculate the value:
KE = (1/2) * 1600 kg * (125 m/s)^2 = 1,250,000 Joules
To convert Joules to calories, we need to use the conversion factor:
1 calorie = 4.184 Joules
Dividing the kinetic energy by the conversion factor, we can find the amount of heat released:
Heat = 1,250,000 Joules / 4.184 Joules/calorie
Calculating the value, we get:
Heat ≈ 298,467 calories
Therefore, the amount of heat released is approximately 298,467 calories.