**Transcription for Educational Website:**The figure illustrates a collision between three balls of clay. The balls hit simultaneously and stick together.(a) What is the speed of the resulting blob of clay? (b) What is the direction of the resulting blob of clay?*Hint*: This is a two-dimensional (2D) collision problem. The momentum is conserved in each dimension (x and y).**Diagram Explanation**- The diagram depicts three clay balls with their masses and velocities. 1. **Top Ball**: - Mass: 40 g - Velocity: 4.0 m/s at a 45° angle downward to the right. 2. **Bottom Left Ball**: - Mass: 20 g - Velocity: 2.0 m/s upward. 3. **Right Ball**: - Mass: 30 g - Velocity: 3.0 m/s to the left. Each ball is represented with arrows indicating the direction and magnitude of their velocities. The challenge is to determine the final speed and direction of the combined blob of clay using conservation of momentum principles.

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Description: **Transcription for Educational Website:**The figure illustrates a collision between three balls of clay. The balls hit simultaneously and stick together.(a) What is the speed of the resulting blob of clay? (b) What is the direction of the resulting

Conserving momentum along x axis (40)(4)(cos45o) - (30)(3) = (40+30+20) VxVx = 0.257 m/sConserving momentum along y axis (40)(-4)(Sin45o) + (20)(2) = (40+30+20) VyVy = -0.813 m/s a) Speed of resulting blob of clay = 0.2572 + (-0.813)2 = 0.85 m/sb) Direction = Tan-1 (0.813/0.257) south of east∅ = 72.46o South of east

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The figure shows a collision between three balls of clay. The three hits simultaneously and stick together. (a) What is the speed of the resulting blob of clay? (b) What is the direction of the resulting blob of clay? 40 g 45° 4.0 m/s 3.0 m/s Hint: This is two-dimensional (2D) collision problem. The momentum is conserved in each dimension (x and y). 30 g 2.0 m/s 20 g

The figure shows a collision between three balls of clay. The three hits simultaneously and stick together. (a) What is the speed of the resulting blob of clay? (b) What is the direction of the resulting blob of clay? 40 g 45° 4.0 m/s 3.0 m/s Hint: This is two-dimensional (2D) collision problem. The momentum is conserved in each dimension (x and y). 30 g 2.0 m/s 20 g

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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**Transcription for Educational Website:**

The figure illustrates a collision between three balls of clay. The balls hit simultaneously and stick together.

(a) What is the speed of the resulting blob of clay?
(b) What is the direction of the resulting blob of clay?

*Hint*: This is a two-dimensional (2D) collision problem. The momentum is conserved in each dimension (x and y).

**Diagram Explanation**

- The diagram depicts three clay balls with their masses and velocities.

1. **Top Ball**:
- Mass: 40 g
- Velocity: 4.0 m/s at a 45° angle downward to the right.

2. **Bottom Left Ball**:
- Mass: 20 g
- Velocity: 2.0 m/s upward.

3. **Right Ball**:
- Mass: 30 g
- Velocity: 3.0 m/s to the left.

Each ball is represented with arrows indicating the direction and magnitude of their velocities. The challenge is to determine the final speed and direction of the combined blob of clay using conservation of momentum principles.

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