   Chapter 13, Problem 4P

Chapter
Section
Textbook Problem

A spring is hung from a ceiling, and an object attached to its lower end stretches the spring by a distance d = 5.00 cm from its unstretched position when the system is in equilibrium as in Figure P13.4. If the spring constant is 47.5 N/m, determine the mass of the object. To determine
The mass of the object which stretches the spring by 5 cm.

Explanation

Given information: The object stretches the spring by 5 cm. The force constant of the spring is 4.75N.m-1 .

The formula for force is,

F=kx

• F is the force
• k is force constant of the spring
• x is the displacement of the spring

It is equal to the force of gravity.

F=mg

• m is the mass of the object
• g is the acceleration due to gravity

Equate the two equations and re-arrange to get m.

m=kxg

Substitute 5 cm for x, 4.75 for k and 9

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