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$\bullet$ A force of magnitude 800.0 $\mathrm{N}$ stretches a certain spring by0.200 $\mathrm{m}$ from its equilibrium position. (a) What is the forceconstant of this spring? (b) How much elastic potential energyis stored in the spring when it is: (i) stretched 0.300 $\mathrm{m}$ from itsequilibrium position and (ii) compressed by 0.300 $\mathrm{m}$ from itsequilibrium position? (c) How much work was done in stretch-ing the spring by the original 0.200 $\mathrm{m} ?$

a) 4000 $\mathrm{N} / \mathrm{m}$b) 180 Jc) 180 Jd) 80 J

Physics 101 Mechanics

Chapter 7

Work and Energ

Physics Basics

Applying Newton's Laws

Kinetic Energy

Potential Energy

Energy Conservation

Cornell University

Rutgers, The State University of New Jersey

Simon Fraser University

Hope College

Lectures

03:47

In physics, the kinetic energy of an object is the energy which it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes. The same amount of work is done by the body in decelerating from its current speed to a state of rest. The kinetic energy of a rotating object is the sum of the kinetic energies of the object's parts.

04:05

In physics, a conservative force is a force that is path-independent, meaning that the total work done along any path in the field is the same. In other words, the work is independent of the path taken. The only force considered in classical physics to be conservative is gravitation.

03:38

A force of magnitude $800.…

05:26

$\bullet$ A force of magni…

02:08

Suppose takes force of 20 …

00:56

A spring is stretched from…

01:41

According to Hooke’s Law, …

03:01

A force of 800 $\mathrm{N}…

04:00

Compressing and stretching…

05:54

Suppose a force of $30 \ma…

03:57

To stretch a spring $9.00 …

09:57

A certain spring is found …

02:24

To stretch a spring 3.00 $…

05:30

01:47

Stretehing a spring A spri…

08:36

To stretch a spring 3.00 c…

So we're part. We can say that force on spring is equal to the spring, constant times the stretch now. So this is force on spring. If we want to fix all four key, they'll be forced on spring divided by the stretch of the spring. We're already given the force, which is 800 Newtons. The displacement is given a 0.2 meter. Using these two numbers, we get the spring constant as four times 10 to the power three Newton for meter For Part B, we have two different subsections one and two where work in part in subsection award we have the spring is being stretched and in subsection to the spring, is being compressed. But no matter it, it's been stretched or com pressed the potential. The elastic potential energy will be same for both of the cases so we can do both of them together. The question for elastic potential energy is you yell. We do know that as the potential energy elastic potential energy as half off the spring, constant times the stretch or the compress so key is for times 10 to the bar. Three Newton per meter X is 0.3 meter school. And then there's a square because of excess cleared. Being here using back, we get the potential energy as 1 80 Jules for the final part, where we need to find the working on the spring so we can say that work done on the spring is whose worked on on the spring is actually equal to the springs, gaining potential energy. So that's equal to gain thing credentialed energy, since we know that potential energy is one eighteen 18 junes now, for that case, we won't be using this one because the stretches different. In that case, the stretch was two meters in this case, so warden on spring is equal to the potential energy off the spring. Do toe 0.2 meters near the displacement of 0.2 meters, and that's going to be half K X squared, which is half times four times 10 to the bar. Three Newton meter times X beings. You're applying to meters squared, which gives us 80 Jones. Thank you

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