15) A 5.0 kg ball moving to the right at 10 m/s collides with a stationary 3.0 kg ball. After the collision, the 5.0 kg ball has velocity 4.0 m/s in the x-direction and -2.0 m/s in the y- direction (as shown in the figure below). a) What is the final velocity vector of the 3.0 kg ball? b) Was this an elastic collision? Before V2i = 0 m/s Vi = 10£ m/s 3.0 kg 5.0 kg ŷ A After V25 = 3.0 kg
15) A 5.0 kg ball moving to the right at 10 m/s collides with a stationary 3.0 kg ball. After the collision, the 5.0 kg ball has velocity 4.0 m/s in the x-direction and -2.0 m/s in the y- direction (as shown in the figure below). a) What is the final velocity vector of the 3.0 kg ball? b) Was this an elastic collision? Before V2i = 0 m/s Vi = 10£ m/s 3.0 kg 5.0 kg ŷ A After V25 = 3.0 kg
College Physics
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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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Transcribed Image Text:### Problem Statement
15) A 5.0 kg ball moving to the right at 10 m/s collides with a stationary 3.0 kg ball. After the collision, the 5.0 kg ball has a velocity of 4.0 m/s in the x-direction and -2.0 m/s in the y-direction (as shown in the figure below).
a) What is the final velocity vector of the 3.0 kg ball?
b) Was this an elastic collision?
### Diagram Description
#### Before the Collision:
- A 5.0 kg ball is moving to the right with an initial velocity \( \vec{v}_{1,i} = 10\hat{i} \, \text{m/s} \).
- A 3.0 kg ball is stationary with an initial velocity \( \vec{v}_{2,i} = 0 \, \text{m/s} \).
#### After the Collision:
- The 5.0 kg ball moves with a final velocity \( \vec{v}_{1,f} = 4.0\hat{i} - 2.0\hat{j} \, \text{m/s} \).
- The final velocity of the 3.0 kg ball \( \vec{v}_{2,f} \) is unknown.
### Coordinate Axes
- \( \hat{i} \) indicates the positive x-direction.
- \( \hat{j} \) indicates the positive y-direction.
### Questions to Solve
a) Determine the final velocity vector \( \vec{v}_{2,f} \) of the 3.0 kg ball.
b) Determine if the collision was elastic.
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