Is vA Greater Than, Equal to, or Less Than vC After the Collisions?

  • Thread starter Thread starter rockerdude1210
  • Start date Start date
  • Tags Tags
    Ball Blocks
AI Thread Summary
After the collisions, the velocities of objects A and C are compared based on their material properties and the outcomes of the collisions with ball B. When ball B collides with object A, it transfers all its energy to A, resulting in A having a higher final velocity. However, when ball B collides with object C, it rebounds, indicating that C has a greater final velocity than A. The key takeaway is that while energy may not be conserved in collisions, momentum is conserved, leading to the conclusion that vC is greater than vA. Understanding these dynamics clarifies the relationship between the velocities of the two objects post-collision.
rockerdude1210
Messages
20
Reaction score
0

Homework Statement



Objects A and C are made of different materials, with different “springiness,” but they have the same mass and are initially at rest. When ball B collides with object A, the ball ends up at rest. When ball B is thrown with the same speed and collides with object C, the ball rebounds to the left. Compare the velocities of A and C after the collisions. Is vA greater than, equal to, or less than vC?

1. vA > vC

2. vA = vC

3. vA < vC

Homework Equations


[/B]
P=mv

The Attempt at a Solution


[/B]
I thought that since the ball stopped in the case of A, all of the energy would be transferred to A and that it would have the higher final velocity. However, the correct answer was tha vC was greater than vA and I wasn't sure why

 
Physics news on Phys.org
The energy need not conserve during a collision, but the momentum conserves. Which of A and C get greater momentum during the collision?
 
Ah I get it,

Thanks!
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Energy and momentum conservation
Replies
6
Views
2K
Ambiguous question on momentum and how it works...
Replies
13
Views
1K
Two balls, dropped with a delay of ##\Delta t##, meet after rebound
Replies
34
Views
2K
State whether the distance x for the block would be greater/less/same
Replies
25
Views
1K
What Are the Velocities of Two Blocks After an Elastic Collision?
Replies
3
Views
2K
Question about momentum (elastic collision)
Replies
3
Views
1K
Why the large ball falls farther than the smaller one?
Replies
31
Views
4K
Conservation of Momentum Problem
Replies
1
Views
2K
Collisions in a harmonic oscillator
Replies
18
Views
3K
Determining position of an object after inelastic collision
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top