Solving Inelastic Collision for Two Hockey Players | Physics Problem

In summary, two hockey players with masses of 75 kg each and initial velocities of 5.75 m/s collide and stick together at an angle of 125 degrees. To find their velocity after the collision, we can use the formula Vf = m1v1/(m1+m2) cos 125 for the x value and Vf = m1v1/(m1+m2) sin 125 for the y value. However, we can simplify the calculations by using conservation of momentum and defining an x-axis along the line bisecting the 125 degree angle.
  • #1
Huskies213
34
0
Can anyone tell me what i am doing wrong for this problem?
Two 75 kg hockey players skating at 5.75 m.s collide and stick together. If the angle btween their initial directions was 125 degrees, what is their velocity after the collision?

I used the formula Vf = m1v1/(m1+m2) cos 125 for the x value which is supposed to come out to be 1.23 m/s

and the same formula Vf = m1v1/(m1+m2) sin 125 for the y value which is supposed to come out to be 2.36 m/s.

Thanks !
 
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  • #2
Go back to basics with conservation of momentum:
[tex]m_1\vec{v_1} + m_2\vec{v_2} = (m_1 + m_2)\vec{v_f}[/tex]

Establish x and y axes, and write expressions for momentum conservation for each direction separately.

Hint: If you define your x-axis to be along the line bisecting that 125 degree angle, your momentum calculations will be greatly simplified.
 
  • #3


It looks like you are on the right track with using the formula for inelastic collisions. However, it is important to make sure that you are using the correct values for the masses and velocities of the players. Also, it is important to remember that the angle between the initial directions should be taken into account when calculating the final velocity. I suggest double-checking your calculations and making sure you are using the correct values. Additionally, you can try using the momentum conservation equation (m1v1 + m2v2 = (m1+m2)Vf) to solve for the final velocity. Keep practicing and don't hesitate to ask for help if you are still having trouble with the problem. Good luck!
 

1. How do you solve an inelastic collision for two hockey players?

To solve an inelastic collision between two hockey players, you will need to use the principles of conservation of momentum and conservation of kinetic energy. This involves setting up equations for the initial and final momenta and energies of the players and solving for the final velocities using algebraic manipulation.

2. What is an inelastic collision?

An inelastic collision is a type of collision in which kinetic energy is not conserved. This means that the total kinetic energy of the system before and after the collision is not the same. Inelastic collisions typically involve objects that stick together after colliding.

3. What information do you need to solve an inelastic collision?

To solve an inelastic collision, you will need the masses and initial velocities of the two hockey players, as well as the coefficient of restitution, which describes the amount of energy lost during the collision. You may also need to know the direction of the velocities and the angle of impact between the players.

4. Can an inelastic collision result in an increase in kinetic energy?

No, an inelastic collision cannot result in an increase in kinetic energy. In fact, inelastic collisions always result in a decrease in kinetic energy due to the loss of energy through deformation or friction.

5. Are inelastic collisions common in hockey?

Yes, inelastic collisions are common in hockey. When players collide, they often stick together due to their equipment and the nature of the sport. This results in a decrease in kinetic energy and a transfer of momentum between the players.

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