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A $0.150-\mathrm{kg}$ frame, when suspended from a coil spring, stretches the spring 0.050 $\mathrm{m}$ . A $0.200-\mathrm{kg}$ lump of putty is dropped from rest onto the frame from a height of 30.0 $\mathrm{cm}$ (Fig. 8.42$)$ . Find the maximum distance the frame moves downward from its initial position.

$0.232 \mathrm{m}$

Physics 101 Mechanics

Chapter 8

Momentum, Impulse, and Collisions

Moment, Impulse, and Collisions

Cornell University

University of Michigan - Ann Arbor

Simon Fraser University

McMaster University

Lectures

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Yeah. In discussion we have even moss Oh, a frame that is I am equal to 0.15 Seattle. It's all gone. Also distressed. It stands that is X equal to 0.05 meters and mass of would be I hear we've been talking about that lump of poor people So that is capital and equal to 0.2 kg. And we have no would be is wrong on I That is at equal to authorities centimeter. Or we can write this as 0.38 m. No, you know who that The 4th Constraint K of the Spring is calculated by using the net force of the system. It can be expressed as have equal to K. Multiply by X. Now we can write the above equation as I'm married. People have a G equal to K X. No, let's read like this. 4K. Therefore we get K equal to mm Well, people have a G divided by X. now here the substitute 0.150 kz for mm 9.8 m per second squared four G. And 0.5 m four X. Therefore we get K equals two 0.150 multiple. Have a 9.8. If I did buy 0.05. So from above you get K equals to 29.4. Newton was meta. Now the speed of the could be at the time of the falling is given by speed. Oh, would be uh, time of falling is Three equal to the square root of two. Multiple apology. Multiplied by ads. Now here we substitute 9.8 m per second squared for G. And 0.3 m four cats. Therefore We equals two. You multiply 1 9.8. My people are by zero three. So We get we equals two 24.25 m per. Thank you. No. The goal is um between the beauty and the frame is completely in last. So um uh Law of conservation of momentum, bigger. I am mighty plot. V plus smaller multiple our smoothie equal to M plus capital. M welcome to the gas. No yes. We solve this equation for Vidas by 14. The value so we get 0.2 market library 24.25 less. AM I right? People about zero equal to 0.15 plus zero point multi la barbie. Yes from abu we get v dash equals two. 1.3 85. Middle part second. No after the or listen uh Energy is and served so even Yes you want it will do. It's you plus you. No that means one. If I did try to multiple other capital and plus small and developed. Really dashed the square Last one divided by two. Yeah. X. Is squared less capital and plus small and multiply by g multiplayer body. It was zero yes one divided by right X plus B scratch. No. Yes on voting their values ego one If I did buy to my people have a 0.35. My people are by 1.3854 square plus one day I did buy to 29.4. multiplied by 0.05. All square most 0.35. My people are by 9.8. Why did he blow by me Equal to 1? Divided by who Marie keep alibi? 29.4. Are you people at my 0.05 E. All is that now? Let's simplify this. So we get 14.7 The Square -1.96 D minus zero point 3362 equal to zero. Now on solving this quadratic equation we get the equal to 0.23. Who made that? Hence that the stance moved by the same. It was 2 0.232 m

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