Mechanical Energy Worksheet with Problems on Elastic Potential Energy and Conservation of Energy

A worksheet titled "Mechanical Energy" with problems related to elastic potential energy and conservation of energy, including questions about springs, force constants, and energy calculations.

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1. Given: x = 0.2 m, k = 8500 N/m
Formula: PE = (1/2)kx²
Answer: PE = (1/2)(8500)(0.2)² = 170 J
Unknown: Potential Energy (PE)

2. Given: W = 2000 J, x = 0.15 m
Formula: W = (1/2)kx² → k = 2W/x²
Answer: k = 2(2000)/(0.15)² = 177,778 N/m
Unknown: Force constant (k)

3. Given: x = 0.035 m, k = 500 N/m
Formula: PE = (1/2)kx²
Answer: PE = (1/2)(500)(0.035)² = 0.306 J
Unknown: Potential Energy (PE)

4. Given: PE = 20,000 J, k = 1800 N/m
Formula: PE = (1/2)kx² → x = √(2PE/k)
Answer: x = √(2*20000/1800) = 4.71 m
Unknown: Compression distance (x)

5. Given: m = 79 kg, h = 25 m, g = 9.8 m/s²
Formula: mgh = (1/2)mv² → v = √(2gh)
Answer: v = √(2*9.8*25) = 22.1 m/s
Unknown: Speed at bottom (v)

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