A car of mass 1000 kg is moving at a speed of 20 m/s. What is its total mechanic

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Question: A car of mass 1000 kg is moving at a speed of 20 m/s. What is its total mechanical energy assuming no friction?

Options:

Correct Answer: 400,000 J

Solution:

Total Mechanical Energy = Kinetic Energy + Potential Energy. KE = 1/2 * m * v^2 = 1/2 * 1000 * (20^2) = 200,000 J (assuming PE = 0)

A car of mass 1000 kg is moving at a speed of 20 m/s. What is its total mechanical energy assuming no friction?

A car of mass 1000 kg is moving at a speed of 20 m/s. What is its total mechanical energy assuming no friction?

Step 1: Identify the mass of the car, which is 1000 kg.
Step 2: Identify the speed of the car, which is 20 m/s.
Step 3: Recall the formula for Kinetic Energy (KE), which is KE = 1/2 * m * v^2.
Step 4: Substitute the mass (m = 1000 kg) and speed (v = 20 m/s) into the formula: KE = 1/2 * 1000 * (20^2).
Step 5: Calculate (20^2), which is 400.
Step 6: Multiply 1000 by 400 to get 400,000.
Step 7: Divide 400,000 by 2 to find KE, which is 200,000 J.
Step 8: Since there is no friction, assume Potential Energy (PE) is 0.
Step 9: Add Kinetic Energy and Potential Energy to find Total Mechanical Energy: Total Mechanical Energy = KE + PE = 200,000 J + 0 = 200,000 J.

Kinetic Energy – The energy possessed by an object due to its motion, calculated using the formula KE = 1/2 * m * v^2.
Potential Energy – The energy stored in an object due to its position or configuration, which is assumed to be zero in this scenario.
Total Mechanical Energy – The sum of kinetic and potential energy in a system, which remains constant in the absence of non-conservative forces like friction.