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durham953

27.04.2022

Physics

$\displaystyle U_s = 0.6 \ J$

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Physics

Energy

Elastic Potential Energy: $\displaystyle U_s = \frac{1}{2} k \triangle x^2$

U is energy (in J)k is spring constant (in N/m)Δx is displacement from equilibrium (in m)Explanation:

Step 1: Define

k = 7.50 N/m

Δx = 0.40 m

Step 2: Find Potential Energy

Substitute in variables [Elastic Potential Energy]: $\displaystyle U_s = \frac{1}{2} (7.50 \ N/m) (0.40 \ m)^2$ Evaluate exponents: $\displaystyle U_s = \frac{1}{2} (7.50 \ N/m) (0.16 \ m^2)$ Multiply: $\displaystyle U_s = (3.75 \ N/m) (0.16 \ m^2)$ Multiply: $\displaystyle U_s = 0.6 \ J$

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