A car of mass 1000 kg accelerates from rest to a speed of 20 m/s. What is the ki

A car of mass 1000 kg accelerates from rest to a speed of 20 m/s. What is the kinetic energy gained?

A car of mass 1000 kg accelerates from rest to a speed of 20 m/s. What is the kinetic energy gained?

Step 1: Identify the mass of the car. The mass (m) is given as 1000 kg.
Step 2: Identify the final speed of the car. The speed (v) is given as 20 m/s.
Step 3: Write down the formula for kinetic energy. The formula is Kinetic Energy = 0.5 * m * v².
Step 4: Substitute the values into the formula. Replace m with 1000 kg and v with 20 m/s.
Step 5: Calculate v² (20 m/s)² = 400 m²/s².
Step 6: Multiply the mass by v². So, 1000 kg * 400 m²/s² = 400,000 kg*m²/s².
Step 7: Multiply by 0.5. So, 0.5 * 400,000 = 200,000 J.
Step 8: Conclude that the kinetic energy gained 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 * m * v², where m is mass and v is velocity.
Units of Measurement – Understanding the units involved in the calculation, such as kilograms for mass and meters per second for velocity, is crucial for accurate computation.
Acceleration from Rest – The problem involves an object accelerating from rest, which means the initial velocity is zero, simplifying the calculation of kinetic energy gained.