Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Yahoo! Group Title

System B moving with Vo elastically Collides with system A at rest as Shown.At maximum Compression of Spring K.Velocity of M is?

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. Yahoo! Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1354024062491:dw|

    • 2 years ago
  2. ghazi Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    conservation of momentum

    • 2 years ago
  3. Yahoo! Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    But that Did nt work..)

    • 2 years ago
  4. Shadowys Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Hmm, can't see the entire diagram though. Does it means that the first spring collided with the second while compressing to max?

    • 2 years ago
  5. Yahoo! Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1354026238842:dw|

    • 2 years ago
  6. Yahoo! Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    @ghazi @Vincent-Lyon.Fr @JFraser @phi

    • 2 years ago
  7. ghazi Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    transfer whole kinetic energy of the system with mass 2m and 3m to the system with mass m and 2m , you will get it :)

    • 2 years ago
  8. Yahoo! Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    1/2 5M Vo^2 = 1/2 3M v^2

    • 2 years ago
  9. Yahoo! Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    But i think....Spring Constant has Something to Play..)

    • 2 years ago
  10. ghazi Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    yes spring is storing energy so you have to calculate that energy too and after that use the rule of collision, using conservation of energy and momentum. and don't forget to calculate stored potential energy of spring

    • 2 years ago
  11. sumanth4phy Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    After collision assuming it is perfectly eastic the 2M will have a velocity of V. The Velocity of centre of mass is 2V/3. Now consider the motion of system A in centre of mass reference frame. When the spring is under maximum condition the velocities of both M, 2M will be zero in xcentr of mass reference frame. Hence V(absolute of M) = V(w.r.t to C.M) + V(velocity of Centr of mass) =>\[ V_{M}=V_{M,CM} + V_{CM}\] \[V_{M} = 0 + 2V/3 =2V/3\]

    • 2 years ago
  12. Vincent-Lyon.Fr Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    I have never solved that kind of problems. I would start with the initial 2M-2M collision when the springs do not act yet. There would be exchange of KE and velocities of these two masses. Only then would springs start to compress.

    • 2 years ago
  13. sumanth4phy Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    Exactly that is what I did..i have ignored the spring forces during the collision time of 2M-2M.

    • 2 years ago
  14. Yahoo! Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    @sumanth4phy ur answer is Correct..but i did nt understand..

    • 2 years ago
  15. Yahoo! Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Hw Velocity of centre of mass is 2V/3.??

    • 2 years ago
  16. sumanth4phy Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    \[V_{cm,a} = (M*V_{M,a} + 2M*V_{2M,a})/3M\] = (0*M + V)*2M/3M = 2V/3

    • 2 years ago
  17. sumanth4phy Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    small correction second equation should be = (M*0 +2M*V)/3M = 2V/3

    • 2 years ago
  18. Yahoo! Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok...then wat did u Do ?

    • 2 years ago
  19. sumanth4phy Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    after collision the motion is a Simple Harmonic Motion...the velocities of masses M, 2M will change as function of cos() and are out of phase. One way to do is get the equations of motion for each mass individually..that would be cumbersome.... second method would be oscillation in C of Mass refrence frame where the motion of particles are in phase and velocities of both the particles are zero at maximum compression and maximum elongation....then add Velocity of centre of mass to get the velocity in ourrefrence frame. third and simple method is when under maximum compression both particles have sam evelocity so apply momentum conservation for system A \[(M+2M)*V_{\max compression} = (0*M + V*2M)\] You Get 2V/3

    • 2 years ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.