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

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Question: A car of mass 1000 kg accelerates from rest to a speed of 20 m/s. What is the work done by the engine? (2000)

Options:

Correct Answer: 40000 J

Solution:

Kinetic Energy = 0.5 × mass × velocity^2 = 0.5 × 1000 kg × (20 m/s)^2 = 200000 J.

A car of mass 1000 kg accelerates from rest to a speed of 20 m/s. What is the work done by the engine? (2000)

A car of mass 1000 kg accelerates from rest to a speed of 20 m/s. What is the work done by the engine? (2000)

Step 1: Identify the mass of the car, which is 1000 kg.
Step 2: Identify the final speed of the car, which is 20 m/s.
Step 3: Use the formula for kinetic energy, which is Kinetic Energy = 0.5 × mass × velocity^2.
Step 4: Substitute the values into the formula: Kinetic Energy = 0.5 × 1000 kg × (20 m/s)^2.
Step 5: Calculate (20 m/s)^2, which is 400 m^2/s^2.
Step 6: Multiply 1000 kg by 400 m^2/s^2 to get 400000 kg·m^2/s^2.
Step 7: Multiply 400000 kg·m^2/s^2 by 0.5 to get 200000 J.
Step 8: Conclude that the work done by the engine is 200000 Joules.

Kinetic Energy – The energy possessed by an object due to its motion, calculated using the formula KE = 0.5 × 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.