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

A car accelerates from rest to a speed of 20 m/s. If the mass of the car is 1000 kg, what is the work done by the engine?

A car accelerates from rest to a speed of 20 m/s. If the mass of the car is 1000 kg, what is the work done by the engine?

Step 1: Understand that work done by the engine is equal to the change in kinetic energy of the car.
Step 2: Recall the formula for kinetic energy: KE = 1/2 * m * v^2, where m is mass and v is velocity.
Step 3: Identify the mass of the car, which is 1000 kg.
Step 4: Identify the final speed of the car, which is 20 m/s.
Step 5: Plug the values into the kinetic energy formula: KE = 1/2 * 1000 * (20^2).
Step 6: Calculate (20^2), which is 400.
Step 7: Multiply 1000 by 400 to get 400,000.
Step 8: Divide 400,000 by 2 to find the work done: 400,000 / 2 = 200,000 J.

Kinetic Energy – The energy an object possesses due to its motion, calculated as 1/2 * mass * velocity^2.
Work-Energy Principle – The principle stating that the work done on an object is equal to the change in its kinetic energy.