If a car accelerates from rest to a speed of 20 m/s, what is the kinetic energy

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Question: If a car accelerates from rest to a speed of 20 m/s, what is the kinetic energy of the car if its mass is 1000 kg?

Options:

Correct Answer: 100,000 J

Solution:

Kinetic Energy = 0.5 × mass × velocity² = 0.5 × 1000 kg × (20 m/s)² = 200,000 J

If a car accelerates from rest to a speed of 20 m/s, what is the kinetic energy of the car if its mass is 1000 kg?

If a car accelerates from rest to a speed of 20 m/s, what is the kinetic energy of the car if its mass is 1000 kg?

Step 1: Identify the formula for kinetic energy, which is Kinetic Energy = 0.5 × mass × velocity².
Step 2: Write down the mass of the car, which is 1000 kg.
Step 3: Write down the final speed of the car, which is 20 m/s.
Step 4: Substitute the mass and velocity into the formula: Kinetic Energy = 0.5 × 1000 kg × (20 m/s)².
Step 5: Calculate (20 m/s)², which is 400 m²/s².
Step 6: Multiply 0.5 by 1000 kg, which gives 500 kg.
Step 7: Multiply 500 kg by 400 m²/s², which gives 200,000 J.
Step 8: Conclude that the kinetic energy of the car is 200,000 Joules.

Kinetic Energy – Kinetic energy is the energy an object possesses due to its motion, calculated using the formula KE = 0.5 × mass × velocity².
Acceleration – Acceleration is the rate of change of velocity of an object, which in this case is from rest to a specified speed.