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$\bullet$ $\bullet$ The graph in the accompanying figure shows the magni-tude of the force exerted by a given spring as a function of thedistance $x$ the spring is stretched. How much work is needed tostretch this spring: (a) a distance of $5.0 \mathrm{cm},$ starting with itunstretched, and (b) from $x=2.0 \mathrm{cm}$ to $x=7.0 \mathrm{cm} ?$

a) 6.2 Jb) 11.2 J

Physics 101 Mechanics

Chapter 7

Work and Energ

Physics Basics

Applying Newton's Laws

Kinetic Energy

Potential Energy

Energy Conservation

Leasley R.

April 10, 2020

University of Washington

Simon Fraser University

University of Sheffield

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.

01:41

The graph in Figure 7.44 s…

03:13

01:37

The graph shows the magnit…

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ForceDisplacement (cm)…

01:49

A spring applies a force o…

02:35

In Figure $10-20$, the mag…

05:09

A spring has a restoring f…

03:02

Figure $7-37$ gives spring…

06:46

A spring and block are in …

03:05

Work function A spring has…

04:28

Figure $7-30$ gives spring…

02:03

A particular spring has a …

01:12

Use the graph in Figure $1…

04:00

In the arrangement of Fig.…

in caution. With 29 we are given a graph off force applied on I spring and, uh, the formation off by spring that before mission his incentive meters on, like sex is on the force. Applied is on the why exits. The figure is already given with the question. So the, uh, just drawing you tear. Now we know that the what required to stress that spring for a definite changing lead is the area another force and Ginger Lynn grab thus to stretch their spring for five centimeters. Me have to calculate the area under this crab. 45 centimeters. Which is the area off this? Strangle the state area of the triangle he's given us. What? Or the part, eh? Busy Quito, uh, base from the graft of basis 0.5 meters into the height off the train. Gil, which is 2 50 knew Dennis at the first sentimental Marc. This gives us six point 25 Jews for the people. We have to find the world for the two centimeter toe. Five centimeters stretched inland from the graph. This it? Yeah. Can we represent? It s yes to Syria can be divided into a triangle and, uh, rectangle. So network don't to stretch their spring from too sentimental to seven centimeter is area off a video triangle less a DEA rectangle. The area of the triangle from the graph is Oh, the teen Jilin that is 0.5 meters into 2 50 new does, plus dady off the rectangle well force under Newtons in the base, 0.5 made us. This gives us total area from two centimeter to seven centimeters else. 11 point 25 Jules. This is a required burden for the party.

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