A light spring obeys Hooke's law. The spring's unstretched length is 31.5 cm. One end of the spring is attached to the top of a doorframe and a weight with mass 8.00 kg is hung from the other end. The final length of the spring is 43.5 cm. (a) Find its spring constant (in N/m). (b) The weight and the spring are taken down. Two people pull in opposite directions on the ends of the spring, each with a force of 160 N. Find the length (in m) of the spring in this situation. (c) What If? What would be the length (in m) of the spring if it were now attached to the vertical portion of the doorframe and stretched horizontally by a single person exerting a force of 160 N?

A light spring obeys Hooke's law. The spring's unstretched length is 31.5 cm. One end of the spring is attached to the top of a doorframe and a weight with mass 8.00 kg is hung from the other end. The final length of the spring is 43.5 cm. (a) Find its spring constant (in N/m). (b) The weight and the spring are taken down. Two people pull in opposite directions on the ends of the spring, each with a force of 160 N. Find the length (in m) of the spring in this situation. (c) What If? What would be the length (in m) of the spring if it were now attached to the vertical portion of the doorframe and stretched horizontally by a single person exerting a force of 160 N?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter14: Static Equilibrium, Elasticity, And Fracture

Section: Chapter Questions

Problem 85PQ

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Concept explainers

Rotational Equilibrium And Rotational Dynamics

In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.

Equilibrium of Forces

The tension created on one body during push or pull is known as force.

Question

(a)

Find its spring constant (in N/m).

(b)

The weight and the spring are taken down. Two people pull in opposite directions on the ends of the spring, each with a force of 160 N. Find the length (in m) of the spring in this situation.

(c)

What If? What would be the length (in m) of the spring if it were now attached to the vertical portion of the doorframe and stretched horizontally by a single person exerting a force of 160 N?

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