If a 1000-kg car was moving at 30 m/s, what would be its kinetic energy expressed in the unusual (for kinetic energy) units of calories? (1 cal = 4.186 J)
To calculate the kinetic energy of the car, we can use the formula:
Kinetic Energy (KE) = 1/2 * mass * velocity^2
Given:
Mass (m) = 1000 kg
Velocity (v) = 30 m/s
First, let's calculate the kinetic energy in joules (J) using the formula:
KE (in J) = 1/2 * 1000 kg * (30 m/s)^2
= 1/2 * 1000 kg * 900 m^2/s^2
= 450,000 J
Now, we need to convert the kinetic energy from joules (J) to calories (cal). We can use the conversion factor:
1 cal = 4.186 J
To convert the energy from joules to calories, divide the value in joules by the conversion factor:
KE (in cal) = 450,000 J / 4.186 J/cal
≈ 107,587 cal
Therefore, the kinetic energy of the car would be approximately 107,587 calories.