Inelastic car collision, answers aren't matching up

  • #1

Homework Statement


Car A, having a mass of 1.30 x 10+3kg is traveling at 60.0 km/h due east when it collides with car B, having a mass of mass 1.70 x 10+3kg traveling at 40.0 km/h due west. If the collision is totally inelastic, find the final velocity of car B.
.


Homework Equations


I'm using the equation
m1v⃗ 1+m2v⃗ 2=(m1+m2)vf

The Attempt at a Solution


I'm getting 146,000 = (3000)Vf which I'm then dividing to get a velocity of 48.66. But the answer key is telling me 3.33km/h due east. I haven't taken physics in years and am super rusty so any help would be much appreciated.
 

Answers and Replies

  • #2
gneill
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Hi BananasAreCool, Welcome to Physics Forums.

Did you take into account the fact that the cars are traveling in opposite directions?
 
  • #3
Hi BananasAreCool, Welcome to Physics Forums.

Did you take into account the fact that the cars are traveling in opposite directions?
That's what I was thinking was the problem, what is the equation for them moving in opposite directions?
 
  • #4
That's what I was thinking was the problem, what is the equation for them moving in opposite directions?
I was just able to figure it out, I had to subtract instead of add the two so instead of getting 146,000 I got 10,000, which divided by 3,000 equals to 3.33km/h.
 
  • #5
gneill
Mentor
20,826
2,805
I was just able to figure it out, I had to subtract instead of add the two so instead of getting 146,000 I got 10,000, which divided by 3,000 equals to 3.33km/h.
Yup. Well done.
 

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