a-3-kg-mass-with-a-initial-velocity-of-3-mathrmm-mathrms-has-a-perfectly-inelastic-collision-with-a-

Question

A 3 kg mass with a initial velocity of $+3 \mathrm{m} / \mathrm{s}$ has a perfectly inelastic collision with a 2 $\mathrm{kg}$ mass with an initial velocity of $-6 \mathrm{m} / \mathrm{s} .$ What is the final velocity after impact?
(A) $-1.0 \mathrm{m} / \mathrm{s}$
(B) $-0.6 \mathrm{m} / \mathrm{s}$
(C) 0.6 $\mathrm{m} / \mathrm{s}$
(D) 1.0 $\mathrm{m} / \mathrm{s}$

Sachin Rao · Accepted Answer

three kg mass with the initial velocity of three m per second, has a perfect inelastic collision with a two kg mass. Suppose this is three kg mass and it is moving with the speed three m per second and another mass of two kg. It is moving with six m per second in the opposite direction. What is the final velocity after the impact? We know that here we will use consideration of momentum or we can say momentum consideration. Initial momentum will be called to support. This is Baldwin and this is wall to so we can write and when we won plus and we should be equal to after call is um they will move together so and one plus m two into the final. So and when is three cages for this? three m per second plus M two is two kg speed is six m per second in the opposite direction. So I will take a negative sign and when. Plus I&#x27;m too is three plus two into the final. So this is equal to nine minus 12 divided by five. So we can diet is a call to minus 355 It is a call to minus 0.6 m per second. This is the finalist feed after the collision. Now we didn&#x27;t check the options, so option. We is correct, right? Thank you.

Salamat Ali · Answer

This is an inelastic collision. So masses stick to each other after the collision so we can write to the initial momentum Eyes m one and he shall be one initial plus mass to, uh, V two, um, initial that isn&#x27;t called thio. Two masses sticking with each other. So then one plus into they are going with the final velocity together, which is where we if then a substantive value we can find it. We f here will be a three times three. This is initial mass and the mass one end everyone plus ah two times minus six. Derided by some off masses which is a five kg then divided. These numbers gives us a minus their reports six meter per second for a second. So option B is the right answer.

Ze-Han Lee · Answer

So in this problem, we have two objects. One of them has mess three kilograms, and the other one has mass. Five kilograms. Okay. And they, uh, they&#x27;re moving toe. Want each other. So the speed up them about a sequel to two meters per second. So after the cliche and this to the stick together. So we want to find out the final solution of the final speed off the So we utilized the because the vision of the moment. Um then we have m one plus them too. Times V, which is the which is the velocity after the cliche of a quote. And one times we want minus and two times me too. All right. Because there, as you can see, that the velocity are opposite. So we use the Monets on here. So we&#x27;ve been playing the numbers. You&#x27;ll see that this becomes age times be equal two times. Three miners, five times too good. So which is it? Negative four. Legacy that the vehicle negative 0.5 meters per second. And the magnitude or a magnitude of the velocity or the speed it quote 0.5 meters a second. Okay,

Salamat Ali · Answer

if the frantic energy during the collision before and after so this is before is equal to the kind of energy after the collision. Then the collusion is elastic. So thistle is elastic from this problem. When we calculate can take energy for the collision, you get a kind of energy off the 36 Jules before culture and after collision we get again and six stools. So that means this collision is lost. Option C is the right answer.

Joseph Petrullo · Answer

for this problem, We&#x27;re going to utilize conservation of momentum in two directions. We can run out the X equation and the UAE equation Conservation of momentum. So just talking about the X velocities we have, that body of mass M has an original velocity in the positive X direction. So we&#x27;ll call that v A. And so this is the initial velocity. And so this, therefore, is the initial momentum which is equal to P I. So the final moment, Um, just in terms of the X direction we have that body A is going to have some all time, ultimately resulting velocity. And we also have that there&#x27;s velocity of the second mass. So now looking in the y direction Originally, we have zero initial moment in the in the Y direction and afterwards we actually have call this vfx In PBX we have that mass a has some final Momenta in the Y direction as well. Some final moment in the Y direction for Mott for Mass. Be now all we have to do is solve for v b f y in v p x. So right away we can write down for the UAE equation. The V B F Y is equal to minus V F Y since the masses air the scene and so from the problem this has given, uh, this is given by minus two meters per second. So this is the Y component and how the X component we get by solving the X equation Algebraic lee and we get all the M&#x27;s cancel and we get VB X is equal to be a minus. V a f X. This is equal to five meters per second, so weaken solid for the magnitude of body bees. Velocity after the collision By using some thuggery and theorem rule, we can just say that the magnitude of the velocity vector of body be after the collision is equal to the square root of minus two squared plus five squared, which is equal to the square root. 29. That&#x27;s the final answer

Bruce Edelman · Answer

Okay, certainly. Chapter nine. Probably key. So says a mass of M. J. You call two kilograms is moving with a velocity called a Your doctor is given us for I plus five J. R. Martinez to K hat. This is in use for a second in this collides with the second mass trick or pass B. It&#x27;s mass years. Given three kilograms. This says it&#x27;s initially rest immediately asking the collision. We have the mass A here is seen the final velocity of negative too. I, uh, plus three. Okay, Huh? Okay, So it wants to find on the velocity of mass speed after clicking and it says assume no outside forces. So since there&#x27;s no outside forces, we know that England is conserved. So what that means is in a the A, which is our initial moment. Um, since mass peas at rest, Naturally, this must be equal in a the a prime plus and the the be proud you be prime is what we&#x27;re trying to find out. So let&#x27;s see, How can we simplify this out a little? Well, if we want to solve the V prime, we get d v Pronin equals in a over in the turns. The A minus the a friend. Well, this is an equation. Weaken Do Because we know it&#x27;s safe so we can plug this in now. So vast is too kilograms of three kilograms. Now we have this subtraction vector is gonna be four minus negative too. Hi. Is that r J component has come of the eyes minus zero. J hat Anarchic component is gonna be negative. Two minus three. OK, so we put all that in together. We see this comes out to being or zero high, huh? Close three Port three J, huh? By three point he has And this is the be prime or the final velocity must be definite. Kush awesome.

Problem

A soldier loads a 10 $\mathrm{kg}$ cannonball int…

Problem 25 Easy Difficulty

Answer

Related Courses

Cracking The AP Physics 1 Exam

Related Topics

Discussion

Top Educators

Recommended Videos

Watch More Solved Questions in Chapter 14

Video Transcript

Robert Franek

Cracking The AP Physics 1 Exam

What do you need help with?

Textbooks

Ask a question

Courses

AI Tutor

Cracking The AP Physics 1 Exam

Robert FranekCracking The AP Physics 1 Exam

Robert Franek

Cracking The AP Physics 1 Exam