Do Now warm-up prompt

Name the energy changes in this video.

School blocks YouTube? BlobLaunch.mov

D) Law of Conservation of Energy

Unless work is done on or by a system, its total mechanical energy does not change.

Was energy created in this video?

Girl goes flying after the biggest piggy-back blob jump

School blocks YouTube? BlobLaunch.mov

The massive PE of the men on the platform completely turned into KE at the bottom of their jump.

The boy on the blob has more KE but less PE than the men.

1. Total Mechanical Energy

= PE + KE

Ex 1) Falling object (no friction)

Falling object energy diagram

Answer

Falling object answer

As the object falls,

PE lost = KE gained

Question

Predict how far up the incline each ball will go.
(assume no friction)

[ Flash ]

Question

Why does each ball rise to the same height from which it began?

PE depends only on height.

Ball stops when all KE turns into PE.

Energy changes in a roller coaster
— Teachers Domain

Kids on a roller coaster

Ex 2) Roller coaster track

Roller coaster energy points A–H
Point A

If KE at A = 0  →  PE = ?

PE = mgh   (use g = 10 m/s2)

PE = 3 kg × (10 m/s2) × 3 m

PE = 90 J

PEKE
A90 J0

Point B

Roller coaster
Given

m = 3 kg, h = 1 m

PEKE
B30 J60 J

Point C

Given

m = 3 kg, h = 0

PEKE
C0 J (h = 0)90 J

Point D

Given

m = 3 kg, h = 1 m

PEKE
D30 J60 J

Point E

Given

m = 3 kg, h = 0

PEKE
E0 J (h = 0)90 J

Point F

Given

m = 3 kg, h = 1 m

PEKE
F30 J60 J

Point G

Given

m = 3 kg, h = 3 m

PEKE
G90 J0 J

Point H?

Roller coaster track

Never gets there!

Doesn't have the energy to go any higher than G

Physics of Designing Rollercoasters

Question

At what minimum height should you place the ball so it makes it all the way around the loop?

UC Irvine

School blocks YouTube? LoopTheLoop.mov | LoopTheLoop.mpg

The ball has to be placed at a height above the top of the loop so it has the KE to continue.

Show Me The Bungee Game