A car of mass 1000 kg is moving with a velocity of 15 m/s. What is the kinetic energy of the car?

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Q: A car of mass 1000 kg is moving with a velocity of 15 m/s. What is the kinetic energy of the car?

Solution: Kinetic energy KE = (1/2)mv² = (1/2)(1000 kg)(15 m/s)² = 11250 J.

Steps: 8

Step 1: Identify the mass of the car. The mass (m) is given as 1000 kg.
Step 2: Identify the velocity of the car. The velocity (v) is given as 15 m/s.
Step 3: Write down the formula for kinetic energy (KE). The formula is KE = (1/2)mv².
Step 4: Substitute the values of mass and velocity into the formula. This gives KE = (1/2)(1000 kg)(15 m/s)².
Step 5: Calculate the square of the velocity. (15 m/s)² = 225 m²/s².
Step 6: Multiply the mass by the squared velocity. 1000 kg * 225 m²/s² = 225000 kg·m²/s².
Step 7: Multiply the result by 1/2. (1/2) * 225000 kg·m²/s² = 112500 J.
Step 8: State the final result. The kinetic energy of the car is 112500 Joules (J).