Collision Physics Homework: Calculating Speed of Center of Mass for Cart A and B

If it is the case that A is traveling away from B, then the answer should be 2.5 m/s.In summary, Cart A with a mass of 0.20 kg collides with Cart B, which has a mass of 0.40 kg and is initially traveling away from A. After the collision, the center of mass of the two cart system has a speed of either 2.3m/s or 2.5m/s, depending on the direction of travel. This is in contrast to the incorrect answer of 0.33m/s, which would only be correct if the carts collided head-on.
  • #1
zumi78878
24
0

Homework Statement



Cart A, with a mass of 0.20 kg, travels on a horizontal air track at 3.0m/s and hits cart B,
which has a mass of 0.40 kg and is initially traveling away from A at 2.0m/s. After the collision
the center of mass of the two cart system has a speed of:
A. zero
B. 0.33m/s
C. 2.3m/s
D. 2.5m/s
E. 5.0m/s

Homework Equations





The Attempt at a Solution



Vcom = [(0.2)(3)+(0.4)(2)]/(0.2+0.4) = 2.3333

but ans says its 0.33 m/s? why?
 
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  • #2
It seems to me that you might be mis-interpreting the question. If your description of the problem is accurate, then it's easy to see that the answer is not 0.33 m/s. If A bumps into B from behind, the speed of both must be faster than the original speed of B. However, if A and B collide head-on, their center of mass will move at 0.33 m/s.

If it is the case that B is traveling away from A as you say, then the answer should be 2.3 m/s.
 

1. What is collision physics?

Collision physics is a branch of physics that studies the motion of objects before, during, and after a collision. It involves understanding the behavior and interactions of objects when they come into contact with one another.

2. What factors affect collisions?

Several factors can affect collisions, including the mass, velocity, and direction of the objects involved, as well as the type of material and surface properties of the objects.

3. How do collisions conserve momentum and energy?

According to the law of conservation of momentum, the total momentum of a system before a collision is equal to the total momentum after the collision. Similarly, the law of conservation of energy states that energy cannot be created or destroyed, only transferred from one form to another. In a collision, the total kinetic energy of the system before the collision is equal to the total kinetic energy after the collision.

4. What is the difference between elastic and inelastic collisions?

In an elastic collision, the objects bounce off of each other without any loss of kinetic energy. In an inelastic collision, some of the kinetic energy is lost as the objects stick together or deform upon impact.

5. How is collision physics used in real life?

Collision physics has many practical applications, such as in car safety design, sports equipment design, and the study of planetary collisions. It is also used in industries such as manufacturing and engineering to understand the impact of collisions on materials and structures.

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