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A spring with a spring constant of 200 N/m is compressed by 0.1 m. What is the p
A spring with a spring constant of 200 N/m is compressed by 0.1 m. What is the potential energy stored in the spring?
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Practice Questions
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Q1
A spring with a spring constant of 200 N/m is compressed by 0.1 m. What is the potential energy stored in the spring?
1 J
2 J
3 J
4 J
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Potential Energy = 0.5 × k × x² = 0.5 × 200 N/m × (0.1 m)² = 1 J.
Questions & Step-by-step Solutions
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Q
Q: A spring with a spring constant of 200 N/m is compressed by 0.1 m. What is the potential energy stored in the spring?
Solution:
Potential Energy = 0.5 × k × x² = 0.5 × 200 N/m × (0.1 m)² = 1 J.
Steps: 7
Show Steps
Step 1: Identify the spring constant (k). In this case, k = 200 N/m.
Step 2: Identify the compression of the spring (x). Here, x = 0.1 m.
Step 3: Use the formula for potential energy stored in a spring: Potential Energy = 0.5 × k × x².
Step 4: Substitute the values into the formula: Potential Energy = 0.5 × 200 N/m × (0.1 m)².
Step 5: Calculate (0.1 m)², which is 0.01 m².
Step 6: Multiply 200 N/m by 0.01 m² to get 2 N·m.
Step 7: Multiply 2 N·m by 0.5 to find the potential energy: 0.5 × 2 N·m = 1 J.
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