Physics

Two cars collide at an icy intersection and stick together afterward. The first car has a mass of 1500 kg and was approaching at 9.00 m/s due south. The second car has a mass of 700 kg and was approaching at 15.0 m/s due west.

(a) Calculate the final velocity of the cars.

(b) How much kinetic energy is lost in the collision? (This energy goes into deformation of the cars.)

  1. 👍 0
  2. 👎 0
  3. 👁 3,145
  1. I assume you mean approaching FROM south for example, so moving north
    momentum 1500 * 9 N = 13500 N
    momentum 700 * 15 E = 10500 E
    final mass = 1500 + 700 = 2200

    2200 v cos (heading ) = 13500
    2200 v sin (heading)= 10500

    tan heading = 10500/13500
    heading = 37.9 degrees east of north
    2200 v cos (37.9) = 13500
    so
    v = 7.77 m/s

    initial ke = (1/2) 1500 (81) + (1/2) 700 (225)

    final ke = (1/2) 2200 (7.77)^2
    subtract

    1. 👍 0
    2. 👎 3
    posted by Damon
  2. No Damon, he meant moving due south. negative on y axis.

    You can't use conservation of momentum since it's 2d from what MY book told me.

    Use the components of Velocity vectors.

    m1v1+m2v2=Vx (m1+m2)
    m1v1+m2v2=Vy (m1 +m2)

    Vf= sq.rt.(Vx^2 + Vy^2)
    theta= arctan(Vy/Vx)

    1. 👍 2
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    Two cars collide at an icy intersection and stick together afterward. The first car has a mass of 1200 kg and is approaching at 8.00 m/s due south. The second car has a mass of 850 kg and is approaching at 17.0 m/s due west. (a)

    asked by Anonymous on July 15, 2017
  2. College Physics

    Two cars collide at an icy intersection and stick together afterward. The first car has a mass of 1050Kg and was approaching at 8.00m/s due south. The second car has a mass of 700Kg and was approaching at 20.0m/s due west. A)

    asked by Josie on April 16, 2015
  3. Physics

    Two cars collide at an icy intersection and stick together afterward. The first car has a mass of 1100 kg and was approaching at 8.00 m/s due south. The second car has a mass of 850 kg and was approaching at 24.0 m/s due west. (a)

    asked by Tony on October 8, 2017
  4. physics

    Two cars are approaching a perpendicular intersection without a stop sign. Car 1 has a mass 900 kg and is heading north and car 2 has mass 900 kg and is heading west. The two cars collide at the intersection, and stick together as

    asked by Anonymous on July 4, 2014
  5. Physics

    Two cars approach along icy streets which meet at a right angle to one another. The cars collide and stick together. One car has a mass of 1200 kg and had a speed of 30 km/h in the +x direction before the collision. The second car

    asked by Anonymous on November 6, 2016
  1. Physics

    Two cars approach along icy streets which meet at a right angle to one another. The cars collide and stick together. One car has a mass of 1200 kg and had a speed of 30 km/h in the +x direction before the collision. The second car

    asked by Anonymous on November 6, 2016
  2. 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

    asked by Shaila on September 1, 2010
  3. Physics . pls help me :)

    Two train cars are on a straight, horizontal track. One car starts at rest and is put in motion with a constant acceleration of 2m/s^2. This car moves towards a second car that is 30 away. The second car is moving away from the

    asked by #631 on June 27, 2014
  4. Science

    a 2000-kg car traveling at 8 m/s strikes a stationary car whose mass is the same. The two cars stick together after the crash. What is their speed just afterward?

    asked by Donna on October 16, 2012
  5. physics

    Two cars approach an ice-covered intersection. One car, of mass 1.22 103 kg, is initially traveling north at 10.6 m/s. The other car, of mass 1.69 103 kg, is initially traveling east at 10.6 m/s. The cars reach the intersection at

    asked by Anthony on November 29, 2012

More Similar Questions