If a 1000 kg car is moving with a speed of 15 m/s, what is its kinetic energy?

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Question: If a 1000 kg car is moving with a speed of 15 m/s, what is its kinetic energy?

Options:

Correct Answer: 225,000 J

Solution:

Kinetic Energy = 0.5 × mass × velocity² = 0.5 × 1000 kg × (15 m/s)² = 112,500 J

If a 1000 kg car is moving with a speed of 15 m/s, what is its kinetic energy?

If a 1000 kg car is moving with a speed of 15 m/s, what is its kinetic energy?

Step 1: Identify the mass of the car. The mass is given as 1000 kg.
Step 2: Identify the speed of the car. The speed is given as 15 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 × 1000 kg × velocity².
Step 5: Calculate the square of the velocity: (15 m/s)² = 225 m²/s².
Step 6: Substitute the squared velocity back into the formula: Kinetic Energy = 0.5 × 1000 kg × 225 m²/s².
Step 7: Multiply 0.5 by 1000 kg to get 500 kg.
Step 8: Multiply 500 kg by 225 m²/s² to get 112500 kg·m²/s², which is equal to 112500 J.
Step 9: Conclude that the kinetic energy of the car is 112,500 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.