# Purpose - PowerPoint PPT Presentation

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Purpose. Use numerical integration to determine whether a physical system involved in a collision obeys Newton’s Second Law. Newton’s Second Law. ,where. Net force acting on object. Newton’s Second Law, in case you didn’t recognize it. , if m = constant (dm/ dt =0). Impulse.

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Purpose

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### Purpose

• Use numerical integration to determine whether a physical system involved in a collision obeys Newton’s Second Law.

,where

Net force

acting on

object

### Newton’s Second Law, in case you didn’t recognize it

, if m = constant (dm/dt=0)

### Impulse

Change in momentum

“Impulse”

Impulse = Change in Momentum

### The Basic Idea of this Lab

Measure momentum

change using the photogate

(vinitial before collision, and

vfinal after collision)

Numerically integrate the

measurements from the

force sensor during the

collision.

Compare

### Setup for Elastic Collision

flat bumper

photogate

spring

A bit of clay as a counter-weight

bumper with needle

eraser

Force Sensor

Glider

Air Track

Glider

vinitial

Force Sensor

Glider

Force Sensor

vfinal

Force Sensor

Glider

photogate

Modeling clay

on hook (don’t

use spring)

Modeling

clay

Force Sensor

Glider

Air Track

vinitial

Force Sensor

Glider

Force Sensor

Glider

Force Sensor

Glider

### The force-time diagram during the collision

force

collision

time

After collision:

Force = 0 (if tared properly)

Before collision:

Force = 0 (if tared properly)

### The force-time diagram during the collision

force

collision

time

force

time

Discrete measurements in

certain time intervals

get recorded also

in a table in Capstone

### Numerical Integration using the Table Data

time (in s)

Force (in N)

0.00

0.01

0.02

0.03

0.12

0.13

before collision (f=0)

0.00

0.00

0.01

0.02

0.03

0.01

0.00

Export these data to Excel.

Integrate in Excel using the trapezoidal

rule (see homework).

after collision (f=0)