college physics

posted by .

three carts of masses 4.0kg, 10kg, and 3.0kg move on a frictionless horizontal track with speeds of 5.0m/s, 3.0m/s, and 4.0m/s. The carts stick together after colliding. find the velocity of the three carts.

  • college physics -

    I will have to assume that they were all moving in the same direction.
    Momentum is conserved here, energy is not.
    Initial momentum
    4*5 + 10*3 + 3*4 = 62 kg m/s
    final momentum
    (4+10+3)v = 17 v
    so
    17 v = 62
    v = 3.64
    However I do not think they will collide if they are all moving in the same direction at the beginning. After the 4 kg mass catches up and joins the 10 kg mass, the two together are unlikely to catch the 3 kg mass. I have a hunch something is wrong with your problem statement

  • college physics -

    Your 3rd velocity should be -4m/s. making it 4*5 + 10*3 - 3*4 = 38
    17v = 38
    v = 2.24m/s

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    Two carts with masses of 15.5 kg and 1.0 kg, respectively, move in opposite directions on a frictionless horizontal track with speeds of 6.0 m/s and 2.0 m/s, respectively. The carts stick together after colliding head-on. Find the …
  2. Physics

    Two carts with masses of 4.24 kg and 3.44 kg move toward each other on a frictionless track with speeds of 4.90 m/s and 3.51 m/s respectively. The carts stick together after colliding head-on. Find the final speed.
  3. physics

    Two carts with masses of 11.7 kg and 2.5 kg move in opposite directions on a frictionless horizontal track with speeds of 6.6 m/s and 3.1 m/s, respectively. The carts stick together after colliding head-on. Find their final speed. …
  4. physics

    Three carts of masses 5 kg, 12 kg, and 3 kg move on a frictionless horizontal track with speeds of 5 m/s, 8 m/s, and 4 m/s, as shown in figure. The carts stick together after colliding. 5 kg 12 kg 3 kg 5 m/s 8 m/s 4 m/s Find …
  5. Physics

    two carts with masses of 10.0kg and 2.5kg move in opposite directions on a frictionless track, with speeds of 6.0m/s and 3.0m/s respectively. The carts stick together after colliding head on. Find the final speed of the two cars
  6. physics

    Two carts with masses of 4.00 kg and 3.40 kg move toward each other on a frictionless track with speeds of 4.70 m/s and 3.56 m/s respectively. The carts stick together after colliding head-on. Find the final speed.
  7. physics

    Two carts with masses of 4.00 kg and 3.24 kg move toward each other on a frictionless track with speeds of 4.90 m/s and 3.35 m/s respectively. The carts stick together after colliding head-on. Find the final speed.
  8. Physics

    Two carts with masses of 4.82 kg and 2.72 kg move toward each other on a frictionless track with speeds of 5.03 m/s and 3.52 m/s respectively. The carts stick together after colliding head-on. Find the final speed.
  9. Physics

    Two carts with masses of 4.66 kg and 3.00 kg move toward each other on a frictionless track with speeds of 4.77 m/s and 3.33 m/s respectively. The carts stick together after colliding head-on. Find the final speed.
  10. physics

    Two carts with masses of 13.2 kg and 3.0 kg move in opposite directions on a frictionless horizontal track with speeds of 6.8 m/s and 3.5 m/s, respectively. The carts stick together after colliding head-on. Find their final speed. …

More Similar Questions