Physics, 27.12.2020 07:00, joylsbarbour

A block keeps compressed a spring whose elastic constant K = 205 N / m. How much is the potential energy when the spring is deformed by 0.25 m? Help please

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answered: cam961

PE = 6.40625 J

General Formulas and Concepts:Math

Pre-Algebra

Order of Operations: BPEMDAS

to RightPhysics

Energy

SI Unit: Newton per meter N/m = Joules J

Elastic Potential Energy: PE = 1/2k(Δx)²

k is spring constantΔx is the displacement from equilibriumExplanation:

Step 1: Define

Spring Constant K = 205 N/m

Δx = 0.25 m

Step 2: Find Potential Energy

Substitute in variables: PE = 1/2(205 N/m)(0.25 m)²Evaluate Exponents: PE = 1/2(205 N/m)(0.0625 m²)Multiplication: PE = 1/2(12.8125 N/m)Multiplication: PE = 6.40625 N/m

Our Potential Elastic Energy would be 6.40625 Joules.

answered: cchotshot

$\boxed {\boxed {\sf 6.40625 \ Joules}}$

Explanation:

Elastic potential energy can be found using the following formula.

$U=\frac{1}{2} kx^2$

Where U is the elastic potential energy, k is the elasticity constant, and x is the extension/spring stretch length.

We know the elasticity constant is 205 N/m and the spring is deformed by 0.25 meters.

$k= 205 \ N/m \\x=0.25 \ m$

Substitute the values into the formula.

$U=\frac{1}{2}(205 \ N/m) *(0.25 \ m )^2$

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

First, solve the exponent.

(0.25 m)²= (0.25 m)(0.25 )=0.0625 m²

$U=\frac{1}{2} (205 \ N/m)(0.0625 \ m^2)$

Multiply 205 and 0.0625.

$U=\frac{1}{2}(12.8125 \ N/m)$

Multiply 12.8125 and 1/2 or divide 12.8125 by 2.

$U=6.40625 \ N/m$

1 Newton meter is equal to 1 Joule. Therefore, our answer of 6.40625 N/m is equal to 6.40625 J

$U= 6.40625 \ J$

The elastic potential energy is 6.40625 Joules.

answered: Guest

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answered: Guest

the moon affects the earth gravitation ally, causing certain motions of that body and also producing tides in its ocean and atmosphere. the tidal wave in our atmosphere is, however, far too minute to be an effective cause in any known meteorological phenomenon.

explanation:

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A block keeps compressed a spring whose elastic constant K = 205 N / m. How much is the potential en...