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A 3 kg object is moving with a speed of 4 m/s. What is its total mechanical ener
A 3 kg object is moving with a speed of 4 m/s. What is its total mechanical energy?
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Practice Questions
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Q1
A 3 kg object is moving with a speed of 4 m/s. What is its total mechanical energy?
24 J
32 J
48 J
60 J
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Total mechanical energy = KE + PE. Assuming it is at ground level, PE = 0. KE = 0.5mv² = 0.5 * 3 * (4)² = 24 J.
Questions & Step-by-step Solutions
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Q
Q: A 3 kg object is moving with a speed of 4 m/s. What is its total mechanical energy?
Solution:
Total mechanical energy = KE + PE. Assuming it is at ground level, PE = 0. KE = 0.5mv² = 0.5 * 3 * (4)² = 24 J.
Steps: 10
Show Steps
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.
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