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$\bullet$ In designing a machine part, you need a spring that is 8.50 $\mathrm{cm}$long when no forces act on it and that will store 15.0 $\mathrm{J}$ ofenergy when it is compressed by 1.20 $\mathrm{cm}$ from its equilibriumposition. (a) What should be the force constant of this spring?(b) Can the spring store 850 $\mathrm{J}$ by compression?

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a) $2.08 \times 10^{5} \mathrm{N} / \mathrm{m}$b) No, compression is not possible since the spring is 8.5 $\mathrm{cm}$ in length.

Physics 101 Mechanics

Chapter 7

Work and Energ

Physics Basics

Applying Newton's Laws

Kinetic Energy

Potential Energy

Energy Conservation

Rutgers, The State University of New Jersey

University of Washington

Hope College

McMaster University

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.

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problem number 37. In this problem, it is given that there is a the spring with the killed William Lynn. L equals 0.85 meters. Then this is spring. This the farm. Bye. Siegel, Point zeal. One two meters. Then it is doors energy close to 15. Jules, in the first part of the question, we have to find the A spring constant. Now, using formula is bring energy e equals. Uh, yeah, X square. Where is spring Constant and ex sister Change it. Then. This weekend, right? 15 calls to her okay. Into Delta L, which is 0.12 square. Change in length is Delta. And this will give us the spring constant as to zero it three, three, three new tas. But Mita are why a little air into 10 to the power five Newton's. But meter is the spring constant off the given this spring. Now in Barbie, the have to check whether this is spring in this store. 8 50 jewels off energy by compression. So let us check the change inland when the spring is compressed and the stores good for vigils off energy when energies it would be is equal to have. Okay, excess good. This implies that here's 50 she could do half into Who's Siegel? A 333 Next. It's good. This will give us changing land off. This compressed is spring as 0.9 meters. Oh God. 90 centimeters, Which is greater than the or is Neverland off the spring? Oh God, you're 85 centimeters since the change inland in this compression is more than the original length of the spring. So this case is not possible And every few jewels offspring energy cannot be is stored in this spring. So no, this energy is not possible.

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