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A 10 kg object is moving with a speed of 5 m/s. What is its total mechanical ene
A 10 kg object is moving with a speed of 5 m/s. What is its total mechanical energy?
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Q1
A 10 kg object is moving with a speed of 5 m/s. What is its total mechanical energy?
125 J
250 J
500 J
1000 J
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Total mechanical energy = KE + PE. KE = 0.5 * 10 * (5)² = 125 J. Assuming PE = 0, total energy = 125 J.
Questions & Step-by-step Solutions
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Q
Q: A 10 kg object is moving with a speed of 5 m/s. What is its total mechanical energy?
Solution:
Total mechanical energy = KE + PE. KE = 0.5 * 10 * (5)² = 125 J. Assuming PE = 0, total energy = 125 J.
Steps: 10
Show Steps
Step 1: Identify the mass of the object. The mass is 10 kg.
Step 2: Identify the speed of the object. The speed is 5 m/s.
Step 3: Use the formula for kinetic energy (KE), which is KE = 0.5 * mass * speed².
Step 4: Plug in the values into the formula: KE = 0.5 * 10 kg * (5 m/s)².
Step 5: Calculate (5 m/s)², which is 25 m²/s².
Step 6: Multiply 10 kg by 25 m²/s² to get 250 kg*m²/s².
Step 7: Multiply 250 kg*m²/s² by 0.5 to get 125 J (joules).
Step 8: Assume potential energy (PE) is 0, since it is not given.
Step 9: Add kinetic energy (KE) and potential energy (PE) to find total mechanical energy: Total Energy = KE + PE = 125 J + 0 J.
Step 10: Conclude that the total mechanical energy is 125 J.
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