A 3 kg object is moving with a speed of 4 m/s. What is its total mechanical ener

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Question: A 3 kg object is moving with a speed of 4 m/s. What is its total mechanical energy?

Options:

Correct Answer: 32 J

Solution:

Total mechanical energy = KE + PE. Assuming it is at ground level, PE = 0. KE = 0.5mv² = 0.5 * 3 * (4)² = 24 J.

A 3 kg object is moving with a speed of 4 m/s. What is its total mechanical energy?

A 3 kg object is moving with a speed of 4 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 4 m/s.
Step 3: Understand that total mechanical energy is the sum of kinetic energy (KE) and potential energy (PE).
Step 4: Assume the object is at ground level, which means potential energy (PE) is 0.
Step 5: Calculate the kinetic energy (KE) using the formula KE = 0.5 * m * v².
Step 6: Substitute the values into the formula: KE = 0.5 * 3 kg * (4 m/s)².
Step 7: Calculate (4 m/s)², which is 16 m²/s².
Step 8: Multiply 3 kg by 16 m²/s² to get 48 kg·m²/s².
Step 9: Multiply by 0.5 to find KE: 0.5 * 48 = 24 J.
Step 10: Since PE is 0, the total mechanical energy is just KE, which is 24 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 possessed by an object due to its position or height; in this case, it is assumed to be zero at ground level.
Total Mechanical Energy – The sum of kinetic and potential energy in a system.