A 45kg person is standing at the top of a 15m building. If the person falls and lands on a trampoline with a spring constant of 55,000 N/m how much would the trampoline stretch?​

General Formulas and Concepts:

Physics

Energy

Gravitational Potential Energy Formula:

m is mass (in kg)g is gravity (9.8 m/s²)h is height (in m)

Spring Potential Energy Formula:

k is spring constant (in N/m)Δx is displacement (in m)

Law of Conservation of Energy

Math

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityExplanation:

Step 1: Define

Identify

[Law of Conservation of Energy] →

[Given] m = 45 kg

[Given] h = 15 m

[Given] k = 55000 n/m

[Solve] Δx

Step 2: Solve for Δx

Substitute in variables [Law of Conservation of Energy]:                           Multiply:                                                                                                         Multiply:                                                                                                         Multiply:                                                                                                         [Division Property of Equality] Divide 27500 N/m on both sides:             [Equality Property] Square root both sides:                                                 Rewrite:                                                                                                        

Topic: AP Physics 1 - Algebra Based

Unit: Energy

Book: College Physics

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