A racing car has a mass of 1540 kg. What is its kinetic energy if it has a speed of 105 km/h? Assume that air resistance is negligible.
Question
A racing car has a mass of 1540 kg. What is its kinetic energy if it has a speed of 105 km/h? Assume that air resistance is negligible.
Solution
Sure, let's solve this step by step.
Step 1: Convert the speed from km/h to m/s We know that 1 km = 1000 m and 1 hour = 3600 seconds. So, 105 km/h = 105 * 1000 / 3600 = 29.17 m/s.
Step 2: Use the formula for kinetic energy The formula for kinetic energy is KE = 1/2 * m * v^2, where m is the mass and v is the speed.
Step 3: Substitute the given values into the formula Substituting the given values into the formula gives us KE = 1/2 * 1540 kg * (29.17 m/s)^2.
Step 4: Calculate the kinetic energy KE = 0.5 * 1540 * 29.17^2 = 658,417.045 Joules.
So, the kinetic energy of the racing car is approximately 658,417 Joules.
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