QuestionSeptember 19, 2025

square Answer Bank KE: 1000.0 J PE: 3000.0 J KE: 0J PE:4000.0J KE: 2000.0 J PE: 2000.0 J KE: 4000.0 J PE: 0J

square Answer Bank KE: 1000.0 J PE: 3000.0 J KE: 0J PE:4000.0J KE: 2000.0 J PE: 2000.0 J KE: 4000.0 J PE: 0J
square 
Answer Bank
KE: 1000.0 J
PE: 3000.0 J
KE: 0J
PE:4000.0J
KE: 2000.0 J
PE: 2000.0 J
KE: 4000.0 J
PE: 0J

Solution
4.5(252 votes)

Answer

Each KE/PE pair in the answer bank has a total mechanical energy of 4000.0\,\text{J}. Explanation 1. Identify All Provided Energy Values The answer bank lists kinetic energy (KE) and potential energy (PE) values: - KE: 1000.0 J, PE: 3000.0 J - KE: 0 J, PE: 4000.0 J - KE: 3000.0 J, PE: 1000.0 J - KE: 2000.0 J, PE: 2000.0 J - KE: 4000.0 J, PE: 0 J 2. Calculate Total Mechanical Energy for Each Pair Use the formula: **Total Energy = KE + PE** - 1000.0\,\text{J} + 3000.0\,\text{J} = 4000.0\,\text{J} - 0\,\text{J} + 4000.0\,\text{J} = 4000.0\,\text{J} - 3000.0\,\text{J} + 1000.0\,\text{J} = 4000.0\,\text{J} - 2000.0\,\text{J} + 2000.0\,\text{J} = 4000.0\,\text{J} - 4000.0\,\text{J} + 0\,\text{J} = 4000.0\,\text{J} 3. Logical Verification All pairs sum to 4000.0\,\text{J}, confirming conservation of mechanical energy.

Explanation

1. Identify All Provided Energy Values<br /> The answer bank lists kinetic energy (KE) and potential energy (PE) values: <br />- KE: 1000.0 J, PE: 3000.0 J <br />- KE: 0 J, PE: 4000.0 J <br />- KE: 3000.0 J, PE: 1000.0 J <br />- KE: 2000.0 J, PE: 2000.0 J <br />- KE: 4000.0 J, PE: 0 J <br /><br />2. Calculate Total Mechanical Energy for Each Pair<br /> Use the formula: **Total Energy = KE + PE**<br />- $1000.0\,\text{J} + 3000.0\,\text{J} = 4000.0\,\text{J}$<br />- $0\,\text{J} + 4000.0\,\text{J} = 4000.0\,\text{J}$<br />- $3000.0\,\text{J} + 1000.0\,\text{J} = 4000.0\,\text{J}$<br />- $2000.0\,\text{J} + 2000.0\,\text{J} = 4000.0\,\text{J}$<br />- $4000.0\,\text{J} + 0\,\text{J} = 4000.0\,\text{J}$<br /><br />3. Logical Verification<br /> All pairs sum to $4000.0\,\text{J}$, confirming conservation of mechanical energy.
Click to rate:

Similar Questions