Physics

posted by .

Two carts of identical mass (500 kg). One is traveling south and the other is traveling east. They collide (inelastic collision) and slide 3 meters, 30 degrees south of the east. The total friction force is 10,000N. Calculate the initial velocities of each.

  • Physics -

    The law of conservation of linear momentum for the inelastic collision
    x: m1•v1=(m1+m2) •v• cos30°
    y: m2•v2=(m1+m2) •v• sin30°
    v1=2•v• cos30°
    v2=2•v• sin30°

    (m1+m2) •a=F(fr)
    a= F(fr)/(m1+m2)=F(fr)/2m=10000/2•500=10m/s²
    s=v²/2a =>
    v=sqrt(2•a•s)=sqrt (2•10•3)=7.75 m/s.
    v1=2•v• cos30°=2•7.75 •cos30°=13.42 m/s
    v2= 2•v• sin30°=2•7.75 •sin30°=7.75 m/s

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    A 56.0-kg skater is traveling due east at a speed of 2.80 m/s. A 77.0-kg skater is moving due south at a speed of 4.40 m/s. They collide and hold on to each other after the collision, managing to move off at an angle south of east, …
  2. physics

    Two vehicles with the same mass collide and lock together traveling 28 m/s at 37 degrees north of east after the collision. How fast was the car traveling that was heading north while the other vehicle was traveling east?
  3. physics

    Two vehicles with the same mass collide and lock together traveling 28 m/s at 37 degrees north of east after the collision. How fast was the car traveling that was heading north while the other vehicle was traveling east?
  4. Physics - Momentum of cars at intersection

    Two cars of identical mass are approaching the same intersection, one from the south and the one from the west. They reach the intersection at the same time and collide. The cars lock together and move away at an angle of 22deg counterclockwise …
  5. physics

    A 59.0-kg skater is traveling due east at a speed of 1.80 m/s. A 61.0-kg skater is moving due south at a speed of 6.20 m/s. They collide and hold on to each other after the collision, managing to move off at an angle south of east, …
  6. Physics 141

    A 45.0-kg skater is traveling due east at a speed of 2.85 m/s. A 72.5-kg skater is moving due south at a speed of 7.35 m/s. They collide and hold on to each other after the collision, managing to move off at an angle θ south of …
  7. Physics

    A 49.5-kg skater is traveling due east at a speed of 2.88 m/s. A 72.5-kg skater is moving due south at a speed of 6.82 m/s. They collide and hold on to each other after the collision, managing to move off at an angle south of east, …
  8. physics

    A 51.5-kg skater is traveling due east at a speed of 2.70 m/s. A 69.5-kg skater is moving due south at a speed of 7.50 m/s. They collide and hold on to each other after the collision, managing to move off at an angle θ south of …
  9. Physics

    A 1800 kg mass car is traveling south at a velocity of 15 m/s through an intersection. It is hit by a 3500 kg mass car traveling east at 20 m/s. If the two cars collide and become one object (perfectly inelastic). What will be the …
  10. Physics

    At an intersection a car of mass 900kg traveling east collides with a pick up truck of mass 1800kg that is traveling North. Two vehicles stick together as a result of the collision, and after collision, the wreckage is sliding at 16m/sec …

More Similar Questions