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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 andthe 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

Chapter 9

Linear Momentum

Motion Along a Straight Line

Kinetic Energy

Potential Energy

Energy Conservation

Moment, Impulse, and Collisions

Rutgers, The State University of New Jersey

Simon Fraser University

University of Sheffield

McMaster University

Lectures

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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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.

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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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