A car accelerates from rest to a speed of 20 m/s. If its mass is 1000 kg, what i

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

Options:

Correct Answer: 200,000 J

Solution:

Work Done = Change in Kinetic Energy = 1/2 * m * (v^2) = 1/2 * 1000 * (20^2) = 200,000 J

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

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

Step 1: Identify the initial speed of the car. Since the car starts from rest, the initial speed (u) is 0 m/s.
Step 2: Identify the final speed of the car. The final speed (v) is given as 20 m/s.
Step 3: Identify the mass of the car. The mass (m) is given as 1000 kg.
Step 4: Use the formula for kinetic energy. The formula is: Kinetic Energy (KE) = 1/2 * m * v^2.
Step 5: Substitute the values into the formula. KE = 1/2 * 1000 kg * (20 m/s)^2.
Step 6: Calculate (20 m/s)^2. This equals 400 m^2/s^2.
Step 7: Multiply 1000 kg by 400 m^2/s^2. This equals 400,000 kg*m^2/s^2.
Step 8: Now, multiply by 1/2. So, 1/2 * 400,000 = 200,000 J.
Step 9: The work done by the engine is equal to the change in kinetic energy, which is 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.