The distance that a spring will stretch varies directly as the force applied to the spring. A force of 8080 pounds is needed to

Question

3 years ago

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The distance that a spring will stretch varies directly as the force applied to the spring. A force of 8080 pounds is needed to

stretch a spring 88 inches. What force is required to stretch the spring 2121 inches? A nothing-pound force is required to stretch the spring 2121 inches. (Type an integer or a fraction.)

Physics

1 answer:

xxTIMURxx [149] · Answer 1 · 2022-06-11T07:42:19+03:00

Answer:

F₂= 210 pounds

Explanation:

Conceptual analysis

Hooke's law

Hooke's law establishes that the elongation (x) of a spring is directly proportional to the magnitude of force (F) applied to it, provided that said spring is not permanently deformed:

F= K*x Formula (1)

Where;

F is the magnitude of the force applied to the spring in Newtons (Pounds)

K is the elastic spring constant, which relates force and elongation. The higher its value, the more work it will cost to stretch the spring. (Pounds/inch)

x the elongation of the spring (inch)

Data

The data given is incorrect because if we apply them the answer would be illogical.

The correct data are as follows:

F₁ =80 pounds

x₁= 8 inches

x₂= 21 inches

Problem development

We replace data in formula 1 to calculate K :

F₁= K*x₁

K=( F₁) / (x₁)

K=( 80) / (8) = 10 pounds/ inche