A 3 kg object is moving with a speed of 10 m/s. What is its total mechanical ene

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Question: A 3 kg object is moving with a speed of 10 m/s. What is its total mechanical energy?

Options:

Correct Answer: 300 J

Solution:

Total mechanical energy = KE + PE. Assuming PE = 0, KE = 0.5mv² = 0.5 * 3 * (10)² = 150 J.

A 3 kg object is moving with a speed of 10 m/s. What is its total mechanical energy?

A 3 kg object is moving with a speed of 10 m/s. What is its total mechanical energy?

Step 1: Identify the mass of the object. The mass is 3 kg.
Step 2: Identify the speed of the object. The speed is 10 m/s.
Step 3: Understand that total mechanical energy is the sum of kinetic energy (KE) and potential energy (PE).
Step 4: Assume potential energy (PE) is 0 for this problem.
Step 5: Use the formula for kinetic energy: KE = 0.5 * m * v².
Step 6: Substitute the values into the formula: KE = 0.5 * 3 kg * (10 m/s)².
Step 7: Calculate (10 m/s)², which is 100 m²/s².
Step 8: Multiply 3 kg by 100 m²/s² to get 300 kg*m²/s².
Step 9: Multiply 300 kg*m²/s² by 0.5 to get 150 J.
Step 10: Conclude that the total mechanical energy is 150 J.

Kinetic Energy (KE) – The energy possessed by an object due to its motion, calculated using the formula KE = 0.5 * m * v².
Potential Energy (PE) – The energy stored in an object due to its position or configuration; in this case, it is assumed to be zero.
Total Mechanical Energy – The sum of kinetic and potential energy in a system, which remains constant in the absence of non-conservative forces.