💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Get the answer to your homework problem.

Try Numerade Free for 7 Days

Like

Report

A spring has a natural length of 40 cm. If a 60-N force is required to keep the spring compressed 10 cm, how much work is done during this compression? How much work is required to compress the spring to a length of 25 cm?

$$0.3125 \mathrm{J}$$

Calculus 2 / BC

Chapter 6

Applications of Integration

Section 4

Work

Campbell University

Harvey Mudd College

University of Michigan - Ann Arbor

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

02:33

A spring has a natural len…

01:31

It takes $500 \mathrm{J}$ …

01:51

A spring with a force cons…

04:30

A force of 250 newtons str…

01:29

01:27

A spring exerts a force of…

08:36

To stretch a spring 3.00 c…

02:24

To stretch a spring 3.00 $…

02:00

Suppose that 2 J of work i…

04:09

Suppose that 2 $\mathrm{J}…

Okay, So first, let's recall the Hooks Law because we're modeling a spring and key here in hopes Love stands for Spring Constant, which is a positive brew number. So by the question, we have K times zero in three months. Her one, too, said That's Theo the start position. Once the immunization it was trying to fly. Then why skaters to fitting so over function will be after that Sequels 2 50 X and for the work for the work recalled that the work equals the force. So the integral lower the force That's the work. And from the starting position A to the ending position B. So here we just apply over the force function and, uh, would plug in two positions. So we're gonna have the work equals two 0 to 01 by two for the X d s. And, uh, that equals to 1 25 x squared from 1 25 0 to 0.5 And that's roughly equals two zero points. Three

Numerade Educator

In mathematics, integration is one of the two main operations in calculus, w…

In grammar, determiners are a class of words that are used in front of nouns…

A spring has a natural length of 20 $\mathrm{cm} .$ If a $25-\mathrm{N}$ for…

It takes $500 \mathrm{J}$ of work to compress a spring $10 \mathrm{cm}$. Wha…

A spring with a force constant of $3.5 \times 10^{4} \mathrm{N} / \mathrm{m}…

A force of 250 newtons stretches a spring 30 centimeters. How much work is d…

A spring exerts a force of $100 \mathrm{N}$ when it is stretched $0.2 \mathr…

To stretch a spring 3.00 cm from its unstretched length, 12.0 J of work must…

To stretch a spring 3.00 $\mathrm{cm}$ from its unstretched length, 12.0 $\m…

Suppose that 2 J of work is needed to stretch a spring from its natural leng…

Suppose that 2 $\mathrm{J}$ of work is needed to stretch a spring from its n…