Assume that the kinetic energy of a 1600 kg car moving at 125 km/h is converted entirely into heat.How many calories of heat are released?
To calculate the heat released when the kinetic energy of a car is converted entirely into heat, we need to use the following formula:
Heat released = Kinetic energy
To find the kinetic energy, we can use the equation:
Kinetic energy = (1/2) * mass * velocity^2
First, we need to convert the mass of the car from kg to g, since calories are typically measured in grams.
1600 kg = 1600 * 1000 g = 1,600,000 g
Next, we need to convert the velocity of the car from km/h to m/s, since the kinetic energy formula requires the velocity to be in meters per second.
125 km/h = 125 * 1000 m/3600 s = 34.72 m/s
Now, we can substitute the values into the kinetic energy equation:
Kinetic energy = (1/2) * mass * velocity^2
= (1/2) * 1,600,000 g * (34.72 m/s)^2
Calculating this expression will give us the value of the kinetic energy in joules.
Now, to convert joules to calories, we need to know that 1 calorie is equal to 4.184 joules.
So, we can use the conversion factor of 4.184 J/cal to convert the result to calories.
Finally, we can multiply the calculated value of kinetic energy in joules by this conversion factor to find the heat released in calories.
Therefore, by following these steps, you can calculate how many calories of heat are released when the kinetic energy of the car is converted entirely into heat.