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juin
1 month ago
12

Spring A has a spring constant of 100 N/m and spring B has a spring constant of 200 N/m, and both have the same displacement of

0.20 m. The spring potential energy of spring A is _____ that of spring B.
Physics
1 answer:
Yuliya22 [3.3K]1 month ago
7 0

Answer:

Explanation:

Given

The spring constant for spring A is k_A=100\ N/m.

The spring constant for spring B is k_B=200\ N/m.

If both springs undergo a displacement of x=0.2\ m.

The formula for potential energy stored in a spring is

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

where k stands for the spring constant

and x denotes the amount of compression or extension.

U_A=\frac{1}{2}\times 100\times (0.2)^2----1

U_B=\frac{1}{2}\times 200\times (0.2)^2----2.

Taking the ratio of equations one and two,

\frac{U_B}{U_A}=\frac{200}{100}=2

U_A=\frac{U_B}{2}.

This indicates that the potential energy in spring A amounts to half that of spring B.

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