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Problem 107 Hard Difficulty

In a physics lab, a cube slides down a frictionless incline as shown in Fig. 57 and elastically strikes another cube at the bottom that is only one-half its mass. If the incline is 35 $\mathrm{cm}$ high and
the table is 95 $\mathrm{cm}$ off the floor, where does each cube land? [Hint. Both leave the incline moving horizontally.]

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Physics 101 Mechanics

Physics for Scientists and Engineers with Modern Physics

Chapter 9

Linear Momentum

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Video Transcript

okay, sort of chapter in marine problem 107 So, in the physics lab cubes life down the friction ist been called has shown here any elastic Lee strikes another Q at the bottom, that is 1/2 its mats. So that means in the is 1/2 of a as we haven't labeled here, Um, if the incline is 35 centimeters high in the tables 95 years, where does each cube land both leave the incline moving Hornstock. Okay, so you know that the speed of a immediately for the collision and G h is the potential all getting converted to Connecticut interview such that D A is 12 to G H and Square two times 9.8 times, and this is is to put a 661 years per second. That's how fast today is moving right before it hits the. Now, we know that this is gonna be the last in the last collision. So let me know that for the 2nd 1 knee at rest, that BB crime is given by the day plus a crime. Okay, We also know that they may be Nichols in the crime plus in the DVD con or in a crime boss in the the Boss Be a crime by substituting Alan. And now we can set the relation that these 1/2 a we're the only around. So that means we have to a equals to be a prime plus b A plus a problem or oops. Was that the A pride closed He a over three. And that is as we found right here. 0 47 3 years percent. Okay, so that's the A prime. Be prime from this equation peas and find out as 2.492 meters per second. So each man masses moving horizontally initial meeting after the collision. So each has a vertical velocity zero as they start all something to figure out how much time it takes them to the full. So using why corms, we'll have a key square. We see that t is equal to the square to the height of a G. Okay, so now we gotta figure out how far they travel in that time in the horse offal direction. Adult that acts given by he a prime times keep So this is square to G H over three square two big H over G or 2/3 square mint of little H Big. Yes, it is plugging those in roughly 0.38 years. This was a we could do the same thing for yeah. See how far that trouble and that comes out to be you, Peters, Since the V is four times a crime, did he promise four times, which is 0.38 times for And that is one for five years. Cool. So the answer is 0.38 meters and one for five years.

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Physics for Scientists and Engineers with Modern Physics

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Problem

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Physics for Scientists and Engineers with Modern Physics

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Watch More Solved Questions in Chapter 9

Video Transcript

Douglas C. Giancoli

Physics for Scientists and Engineers with Modern Physics

Christina Krawiec

Farnaz Mohseni

Aspen Fenzl

Meghan Miholics

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Physics for Scientists and Engineers with Modern Physics

Christina Krawiec

Farnaz Mohseni

Aspen Fenzl

Meghan Miholics

Douglas C. GiancoliPhysics for Scientists and Engineers with Modern Physics

Christina Krawiec

Farnaz Mohseni

Aspen Fenzl

Meghan Miholics

Douglas C. Giancoli

Physics for Scientists and Engineers with Modern Physics