In the figure below, a cue ball is shot toward the eight-ball on a pool table. The cue ball is shot at the eight-ball with a speed of 7.95 m/s in a direction 30.0° from the y-axis. Both balls have the same mass of 0.170 kg. After the balls undergo an elastic collision, the eight-ball travels in the negative x direction into the side pocket. What is the velocity of the cue ball after this collision? (Express your answer in vector form.) \[ \mathbf{v_{f, \, cue}} = \] \[ \begin{array}{c} \\ \\ \end{array} \] m/s **Diagram Explanation:** The diagram shows a top view of a rectangular pool table. There is a cue ball, represented as a solid white circle, positioned on the table. The cue ball is moving towards an eight-ball, marked with the number "8" in a circle at the center of the table. The cue ball's path forms a 30° angle with the vertical y-axis. The eight-ball moves horizontally towards the left pocket after the collision. Four pockets are visible, one at each corner, with an additional two on the sides of the table. The diagram indicates the angle and direction of movement of the cue ball.
In the figure below, a cue ball is shot toward the eight-ball on a pool table. The cue ball is shot at the eight-ball with a speed of 7.95 m/s in a direction 30.0° from the y-axis. Both balls have the same mass of 0.170 kg. After the balls undergo an elastic collision, the eight-ball travels in the negative x direction into the side pocket. What is the velocity of the cue ball after this collision? (Express your answer in vector form.) \[ \mathbf{v_{f, \, cue}} = \] \[ \begin{array}{c} \\ \\ \end{array} \] m/s **Diagram Explanation:** The diagram shows a top view of a rectangular pool table. There is a cue ball, represented as a solid white circle, positioned on the table. The cue ball is moving towards an eight-ball, marked with the number "8" in a circle at the center of the table. The cue ball's path forms a 30° angle with the vertical y-axis. The eight-ball moves horizontally towards the left pocket after the collision. Four pockets are visible, one at each corner, with an additional two on the sides of the table. The diagram indicates the angle and direction of movement of the cue ball.
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
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![In the figure below, a cue ball is shot toward the eight-ball on a pool table. The cue ball is shot at the eight-ball with a speed of 7.95 m/s in a direction 30.0° from the y-axis. Both balls have the same mass of 0.170 kg. After the balls undergo an elastic collision, the eight-ball travels in the negative x direction into the side pocket. What is the velocity of the cue ball after this collision? (Express your answer in vector form.)
\[ \mathbf{v_{f, \, cue}} = \]
\[ \begin{array}{c} \\ \\ \end{array} \]
m/s
**Diagram Explanation:**
The diagram shows a top view of a rectangular pool table. There is a cue ball, represented as a solid white circle, positioned on the table. The cue ball is moving towards an eight-ball, marked with the number "8" in a circle at the center of the table. The cue ball's path forms a 30° angle with the vertical y-axis. The eight-ball moves horizontally towards the left pocket after the collision.
Four pockets are visible, one at each corner, with an additional two on the sides of the table. The diagram indicates the angle and direction of movement of the cue ball.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fafa4cb6f-0c50-4ba8-9a03-e3918106ad13%2Fdaffdda2-a294-467f-a0d7-24c661871c0e%2F40zmik2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In the figure below, a cue ball is shot toward the eight-ball on a pool table. The cue ball is shot at the eight-ball with a speed of 7.95 m/s in a direction 30.0° from the y-axis. Both balls have the same mass of 0.170 kg. After the balls undergo an elastic collision, the eight-ball travels in the negative x direction into the side pocket. What is the velocity of the cue ball after this collision? (Express your answer in vector form.)
\[ \mathbf{v_{f, \, cue}} = \]
\[ \begin{array}{c} \\ \\ \end{array} \]
m/s
**Diagram Explanation:**
The diagram shows a top view of a rectangular pool table. There is a cue ball, represented as a solid white circle, positioned on the table. The cue ball is moving towards an eight-ball, marked with the number "8" in a circle at the center of the table. The cue ball's path forms a 30° angle with the vertical y-axis. The eight-ball moves horizontally towards the left pocket after the collision.
Four pockets are visible, one at each corner, with an additional two on the sides of the table. The diagram indicates the angle and direction of movement of the cue ball.
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