A car of mass 1000 kg is moving at a speed of 20 m/s. What is its total mechanic
Practice Questions
Q1
A car of mass 1000 kg is moving at a speed of 20 m/s. What is its total mechanical energy assuming no friction?
200,000 J
400,000 J
300,000 J
100,000 J
Questions & Step-by-Step Solutions
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.
