Collisions thought i was doing it right?

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In summary, in the scenario described, a 4 kg rock with a velocity of <3900, -3000, 3200> m/s collided with a 17 kg rock with a velocity of <300, -260, 260> m/s. After the collision, the 4 kg rock's velocity changed to <3500, -2300, 3700> m/s, and the final velocity of the 17 kg rock is still unknown. Using the equation (m1 + m2)*vf = m1v1 + m2v2, we can solve for the final velocity of the 17 kg rock, vf2. The total momentum of the system, (m1 + m
  • #1
quickclick330
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In outer space a rock with mass 4 kg, and velocity < 3900, -3000, 3200 > m/s, struck a rock with mass 17 kg and velocity < 300, -260, 260 > m/s. After the collision, the 4 kg rock's velocity is < 3500, -2300, 3700 > m/s.
What is the final velocity of the 17 kg rock?

m1 = 4 kg
v1 = < 3900, -3000, 3200 > m/s

m2 = 17 kg
v2 = < 3500, -2300, 3700 > m/s



Attempt at a solution:

pf = pi1 + pi2

(m1 + m2)*vf = m1v1 + m2v2
...solve for v2

as i was typing this i realized one of my mistakes is that the left side isn't (m1 +m2) but I'm still not sure what this should be?

Thanks for the help!:-)
 
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  • #2
It's an elastic collision so the two rocks will not necessarily be moving with the same velocity. You cannot assume that vf will be the velocity of both masses.
 
  • #3
what method would i use to solve for v2f then?
 
  • #4
Well if this is a closed system then the rocks masses will remain constant, so will the total momentum in the system, so we can see that m1vi1 + m2vi2 = m1vf1 + m2vf2

You have know m1, m2, vi1, vi2, vf1 you have one unknown...
 

FAQ: Collisions thought i was doing it right?

What is a collision?

A collision is a physical event in which two or more objects come into contact with each other and exchange energy or momentum. This can result in a change in direction or speed of one or both objects.

How do collisions occur?

Collisions can occur due to a variety of factors, such as the movement of objects, gravity, or external forces. In some cases, collisions may be intentional, such as in sports or vehicle crashes, while in other cases, they may be accidental, such as dropping an object on the ground.

What is the difference between elastic and inelastic collisions?

In an elastic collision, both kinetic energy and momentum are conserved, meaning that the total energy and momentum of the system before and after the collision are equal. In an inelastic collision, some of the kinetic energy is lost in the form of heat or sound. However, momentum is still conserved.

How do collisions affect the objects involved?

The effects of a collision depend on factors such as the mass and velocity of the objects involved, as well as the type of collision. In an elastic collision, the objects will bounce off each other with no permanent deformation. In an inelastic collision, the objects may stick together or deform after colliding.

How do scientists study collisions?

Scientists study collisions by using mathematical equations and conducting experiments. They may also use computer simulations to model and analyze the behavior of objects during collisions. Additionally, scientists can observe collisions in nature, such as the collisions of celestial bodies in space, to gain a better understanding of these events.

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