If a 1500 kg car is moving at a speed of 30 m/s, what is its kinetic energy?

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Question: If a 1500 kg car is moving at a speed of 30 m/s, what is its kinetic energy?

Options:

Correct Answer: 450,000 J

Solution:

Kinetic Energy = 0.5 × mass × velocity² = 0.5 × 1500 kg × (30 m/s)² = 675,000 J

If a 1500 kg car is moving at a speed of 30 m/s, what is its kinetic energy?

If a 1500 kg car is moving at a speed of 30 m/s, what is its kinetic energy?

Step 1: Identify the mass of the car. The mass is given as 1500 kg.
Step 2: Identify the speed of the car. The speed is given as 30 m/s.
Step 3: Write down the formula for kinetic energy: Kinetic Energy = 0.5 × mass × velocity².
Step 4: Substitute the mass into the formula: Kinetic Energy = 0.5 × 1500 kg × velocity².
Step 5: Calculate the square of the velocity: (30 m/s)² = 900 m²/s².
Step 6: Substitute the squared velocity back into the formula: Kinetic Energy = 0.5 × 1500 kg × 900 m²/s².
Step 7: Multiply 1500 kg by 900 m²/s²: 1500 kg × 900 m²/s² = 1,350,000 kg·m²/s².
Step 8: Multiply by 0.5: Kinetic Energy = 0.5 × 1,350,000 kg·m²/s² = 675,000 J.

Kinetic Energy – Kinetic energy is the energy that an object possesses due to its motion, calculated using the formula KE = 0.5 × mass × velocity².