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A spring is compressed by 0.1 m and has a spring constant of 200 N/m. What is th
A spring is compressed by 0.1 m and has a spring constant of 200 N/m. What is the potential energy stored in the spring? (2019)
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A spring is compressed by 0.1 m and has a spring constant of 200 N/m. What is the potential energy stored in the spring? (2019)
1 J
2 J
0.5 J
4 J
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Potential Energy (PE) = 1/2 * k * x^2 = 1/2 * 200 N/m * (0.1 m)^2 = 1 J
Questions & Step-by-step Solutions
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Q
Q: A spring is compressed by 0.1 m and has a spring constant of 200 N/m. What is the potential energy stored in the spring? (2019)
Solution:
Potential Energy (PE) = 1/2 * k * x^2 = 1/2 * 200 N/m * (0.1 m)^2 = 1 J
Steps: 6
Show Steps
Step 1: Identify the formula for potential energy stored in a spring, which is PE = 1/2 * k * x^2.
Step 2: Identify the values needed for the formula: the spring constant (k) is 200 N/m and the compression distance (x) is 0.1 m.
Step 3: Substitute the values into the formula: PE = 1/2 * 200 N/m * (0.1 m)^2.
Step 4: Calculate (0.1 m)^2, which equals 0.01 m^2.
Step 5: Multiply 200 N/m by 0.01 m^2, which equals 2 N*m (or 2 J).
Step 6: Finally, multiply by 1/2: 1/2 * 2 J = 1 J.
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