Two hockey players collide on the ice and go down together in a tangled heap. Player 1 has a mass of 105 kg and player 2 has a mass of 92.0 kg. Before the collision, player 1 had a velocity Di, of 6.70 m/s in the +x-direction, and player 2 had a velocity v2; of 5.60 m/s at an angle 02; of 72.0° with respect Player, 1+2 Player, to the +x-axis, as shown in the figure. Player, 72 At what final speed vf do the players slide together on the ice after the collision? Uf = m/s At what angle Of relative to the +x-axis do the players slide together on the ice after the collision? Of =

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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### Problem Description:

Two hockey players collide on the ice and go down together in a tangled heap. Player 1 has a mass of 105 kg, and Player 2 has a mass of 92.0 kg. Before the collision, Player 1 had a velocity \( \vec{v}_{1,i} \) of 6.70 m/s in the +x-direction, and Player 2 had a velocity \( \vec{v}_{2,i} \) of 5.60 m/s at an angle \( \theta_{2,i} = 72.0^\circ \) with respect to the +x-axis, as shown in the figure.

### Tasks:

1. At what final speed \( v_f \) do the players slide together on the ice after the collision?
   - \( v_f = \) [__] m/s

2. At what angle \( \theta_f \) relative to the +x-axis do the players slide together on the ice after the collision?
   - \( \theta_f = \) [__]

### Diagram:

The diagram shows a coordinate system where:
- The +x-axis is horizontal.
- The +y-axis is vertical.
- Player 1 is moving along the +x-axis, indicated by a green arrow.
- Player 2's velocity is shown by a red arrow making a \( 72^\circ \) angle with the +x-axis.
- The combined movement after the collision is depicted by a gray arrow labeled “Player 1+2”.

This problem involves calculating the final velocity and direction of two colliding bodies using the principles of conservation of momentum.
Transcribed Image Text:### Problem Description: Two hockey players collide on the ice and go down together in a tangled heap. Player 1 has a mass of 105 kg, and Player 2 has a mass of 92.0 kg. Before the collision, Player 1 had a velocity \( \vec{v}_{1,i} \) of 6.70 m/s in the +x-direction, and Player 2 had a velocity \( \vec{v}_{2,i} \) of 5.60 m/s at an angle \( \theta_{2,i} = 72.0^\circ \) with respect to the +x-axis, as shown in the figure. ### Tasks: 1. At what final speed \( v_f \) do the players slide together on the ice after the collision? - \( v_f = \) [__] m/s 2. At what angle \( \theta_f \) relative to the +x-axis do the players slide together on the ice after the collision? - \( \theta_f = \) [__] ### Diagram: The diagram shows a coordinate system where: - The +x-axis is horizontal. - The +y-axis is vertical. - Player 1 is moving along the +x-axis, indicated by a green arrow. - Player 2's velocity is shown by a red arrow making a \( 72^\circ \) angle with the +x-axis. - The combined movement after the collision is depicted by a gray arrow labeled “Player 1+2”. This problem involves calculating the final velocity and direction of two colliding bodies using the principles of conservation of momentum.
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