A spring is compressed by 0.5 m and has a spring constant of 200 N/m. What is th
Practice Questions
Q1
A spring is compressed by 0.5 m and has a spring constant of 200 N/m. What is the potential energy stored in the spring?
25 J
50 J
100 J
200 J
Questions & Step-by-Step Solutions
A spring is compressed by 0.5 m and has a spring constant of 200 N/m. What is the potential energy stored in the spring?
Step 1: Identify the formula for potential energy stored in a spring, which is PE = 0.5 * k * x².
Step 2: Identify the values needed for the formula: the spring constant (k) is 200 N/m and the compression distance (x) is 0.5 m.
Step 3: Substitute the values into the formula: PE = 0.5 * 200 N/m * (0.5 m)².
Step 4: Calculate (0.5 m)², which equals 0.25 m².
Step 5: Multiply 200 N/m by 0.25 m², which equals 50 N*m (or 50 J).
Step 6: Finally, multiply 50 J by 0.5, which equals 25 J.
Potential Energy in Springs – The potential energy stored in a compressed or stretched spring is calculated using the formula PE = 0.5 * k * x², where k is the spring constant and x is the displacement from the equilibrium position.
