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

1 question

1 item

Q: A car accelerates from rest to a speed of 20 m/s. If its mass is 1000 kg, what is the kinetic energy of the car at that speed?

Solution: Kinetic Energy (KE) = 0.5 × m × v² = 0.5 × 1000 kg × (20 m/s)² = 0.5 × 1000 × 400 = 200,000 J.

Steps: 9

Step 1: Identify the formula for kinetic energy (KE). The formula is KE = 0.5 × m × v².
Step 2: Identify the mass (m) of the car. The mass is given as 1000 kg.
Step 3: Identify the speed (v) of the car. The speed is given as 20 m/s.
Step 4: Substitute the values into the formula. KE = 0.5 × 1000 kg × (20 m/s)².
Step 5: Calculate (20 m/s)². This equals 400 m²/s².
Step 6: Substitute the squared value back into the equation. KE = 0.5 × 1000 kg × 400 m²/s².
Step 7: Multiply 0.5 by 1000. This equals 500.
Step 8: Multiply 500 by 400. This equals 200,000 J.
Step 9: Conclude that the kinetic energy of the car at 20 m/s is 200,000 Joules.