The instantaneous positions and velocities of three particles are shown in the figure below. Find: (a) the position of the CM; (b) the velocity of the CM; (c) the position of the CM 3.00 s later if there is no external force acting. Can you please show all work
The instantaneous positions and velocities of three particles are shown in the figure below. Find: (a) the position of the CM; (b) the velocity of the CM; (c) the position of the CM 3.00 s later if there is no external force acting. Can you please show all work
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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The instantaneous positions and velocities of three particles are shown in the figure below.
Find: (a) the position of the CM; (b) the velocity of the CM; (c) the position of the CM 3.00 s later if there is no external force acting.
Can you please show all work

Transcribed Image Text:**Problem 2: Center of Mass Calculation**
The instantaneous positions and velocities of three particles are shown in the figure below. You are tasked with finding:
(a) The position of the Center of Mass (CM);
(b) The velocity of the CM;
(c) The position of the CM 3.00 seconds later if there is no external force acting.
**Diagram Explanation:**
1. **Particle 1**:
- Mass: 5 kg
- Position: (0, 2) meters on the xy-plane
- Velocity: 2 m/s at an angle of 60° from the positive x-axis
2. **Particle 2**:
- Mass: 2 kg
- Position: (2, 0) meters on the xy-plane
- Velocity: 3 m/s at an angle of 30° from the positive x-axis
3. **Particle 3**:
- Mass: 3 kg
- Position: (-3, -1) meters on the xy-plane
- Velocity: 1 m/s at an angle of 50° from the negative y-axis
**Axes Details:**
- The diagram shows a Cartesian coordinate plane.
- The x-axis and y-axis are marked in meters.
- Direction of velocities is represented with arrows at the specified angles.
This setup will allow you to calculate the center of mass position and velocity and predict its position over time assuming no external forces.
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