Vernier Software & Technology

# Center of Mass

## Introduction

In the most of the previous experiments you have examined the motion of a single object as it underwent a variety of motions. You learned that an object subject to no external force moves at constant velocity. Suppose now that the system consists of two objects that undergo a collision. Clearly, the velocity of each object will change as a result of the collision. But if you were to consider both carts as a system, how would the center of mass of this system change, if at all, after a collision? In this experiment you will use video analysis techniques to examine the behavior of the center of mass of a system of moving objects.

## Objectives

In this experiment, you will

• Use video analysis techniques to obtain position, velocity, and time data for two carts undergoing a variety of collisions.
• Analyze the position-time graphs for the individual carts and compare these to the position-time graph for the center of mass of the system.
• Compare the momentum of the system before and after collisions.

## Sensors and Equipment

No probeware required for this experiment.

## Advanced Physics with Vernier — Mechanics

See other experiments from the lab book.

 1 Motion on an Incline 2 Error Analysis 3 Newton's First Law 4 Newton's Second Law 5 Newton's Third Law 6 Projectile Motion 7 Energy Storage and Transfer: Elastic Energy 8 Energy Storage and Transfer: Kinetic Energy 9 Energy Storage and Transfer: Gravitational Energy 10A Impulse and Momentum (Motion Detector) 10B Impulse and Momentum (Photogate) 11A Momentum and Collisions (Motion Detectors) 11B Momentum and Collisions (Photogates) 12A Centripetal Acceleration 12B Centripetal Acceleration 13 Rotational Dynamics 14 Conservation of Angular Momentum 15 Simple Harmonic Motion: Mathematical Model 16 Simple Harmonic Motion: Kinematics and Dynamics 17 Pendulum Periods 18 Physical Pendulum 19 Center of Mass

### Experiment 19 from Advanced Physics with Vernier — Mechanics Lab Book

#### Included in the Lab Book

Vernier lab books include word-processing files of the student instructions, essential teacher information, suggested answers, sample data and graphs, and more.