Conservation of Motion Collision of two object

Click For Summary
SUMMARY

The discussion centers on a physics problem involving the conservation of momentum during a collision between a small car and a larger cart. The small car, with a mass of 0.2 kg, moves at 1.3 m/s and collides with a stationary 3 kg cart. After the collision, the small car recoils at 0.850 m/s. The correct calculation for the final speed of the larger cart (V2f) is determined using the momentum conservation equation, resulting in V2f = 0.08125 m/s, although the initial calculation was incorrect due to a misunderstanding of the final velocities in elastic collisions.

PREREQUISITES
  • Understanding of momentum conservation principles
  • Familiarity with elastic and inelastic collisions
  • Basic algebra for solving equations
  • Knowledge of the mass and velocity variables in collision problems
NEXT STEPS
  • Study the principles of elastic and inelastic collisions
  • Learn how to apply the conservation of momentum in different collision scenarios
  • Practice solving collision problems with varying masses and velocities
  • Explore the differences between one-dimensional and two-dimensional collisions
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding the principles of motion and collisions.

kbward
Messages
1
Reaction score
0

Homework Statement


A small car is moving at 1.3 m/s on an air track when it collides with a larger 3 kg cart at rest. After the collision, the small cart recoils at 0.850 m/s.
What is the speed of the large cart after the collision?


Homework Equations


m1V1i + m2V2i = (m1+m2)V2f

m1 = .2 kg
m2 = 3 kg
V1i = 1.3 m/s
V2i = 0
V1f = -.85 /ms
V2f = ?

The Attempt at a Solution



.2*1.3 + 3*0= (.2+3) V2f
.26 = 3.2 V2f
V2f = .26/3.2
V2f = .08125

My answer came back wrong. Where am I making a mistake?
Thanks

 
Physics news on Phys.org
If this is an elastic collision, then the carts don't move together after the collision.
 

Similar threads

  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 17 ·
Replies
17
Views
6K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 17 ·
Replies
17
Views
5K
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 2 ·
Replies
2
Views
2K