   Chapter 13, Problem 26P

Chapter
Section
Textbook Problem

When four people with a combined mass of 320 kg sit down in a 2.0 × 103-kg car, they find that their weight compresses the springs an additional 0.80 cm. (a) What is the effective force constant of the springs? (b) The four people get out of the car and bounce it up and down. What is the frequency of the car’s vibration?

a)

To determine
The force constant of the spring.

Explanation

Given info: Combined mass of the four people is 320kg . The mass of the car alone is 2.0×103kg . The additional compression of the spring with four people is 0.80cm .

Explanation:

From Hooke’s law, the restoring force is,

F=kx

Here,

F is the force

k is force constant of the spring

x is the displacement of the spring

The force of gravity is,

F=mg

Here,

m is the mass of the object

g is the acceleration due to gravity

The magnitude of restoring force and force due to gravity will be same.

kx=mgk=mgx

Substituting 320kg for m and 0.80cm for x and 9

b)

To determine
The frequency of the car vibration.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started 