roller coaster physics

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Roller Coaster Physics. Dynamics. Why things move Accelerations caused by Forces. Non Contact. Contact. Gravitational. Electromagnetic. Nuclear. Pushes. Pulls. Electric. Magnetic. Normal. Friction. Tension. M. T. f. N. W. Forces. perpendicular to surface. Labeling Forces. - PowerPoint PPT Presentation

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Page 1: Roller Coaster Physics
Page 2: Roller Coaster Physics

Dynamics

Why things move Accelerations caused by Forces

Page 3: Roller Coaster Physics

Forces

Non Contact Contact

Pushes PullsGravitational Electromagnetic Nuclear

Normal Friction Tension

M T f N

WElectric Magnetic

perpendicular to surface

Page 4: Roller Coaster Physics

Labeling Forces

What forces are acting on the yellow ball?

F

Page 5: Roller Coaster Physics

Labeling Forces

What forces are acting on the yellow ball?

Fby, on

Page 6: Roller Coaster Physics

Labeling Forces

What forces are acting on the yellow ball?

Wby, on

Page 7: Roller Coaster Physics

Labeling Forces

What forces are acting on the yellow ball?

WEarth, Ball

Page 8: Roller Coaster Physics

Labeling Forces

Fby, onANYTHING LESS IS AN INCOMPLETE ANSWER!!!

Page 9: Roller Coaster Physics

Sir IsaacNewton

(1642-1727)

Page 10: Roller Coaster Physics

Newton’s Laws of Motion

1st Law:•no net force no acceleration•no acceleration no change in

motion•Objects at rest will remain at rest

and objects in motion will remain in motion at constant speed, in a straight line, unless acted on by a net force

Page 11: Roller Coaster Physics

Newton’s Laws of Motion

1st Law:•no net force no acceleration•no acceleration no change in

motion•Objects at rest will remain at rest

and objects in motion will remain in motion at constant speed, in a straight line, unless acted on by a net force

Page 12: Roller Coaster Physics

Mass

Measure of how much ‘stuff’

Measure of how hard it is to speed up or slow down the object

Mass and weight are very different

Page 13: Roller Coaster Physics
Page 14: Roller Coaster Physics
Page 15: Roller Coaster Physics

POP!

Page 16: Roller Coaster Physics

More net force - more acceleration(constant mass)

F

a

F

a

a Fnet

Page 17: Roller Coaster Physics

More mass - less acceleration(constant net force)

F

a

a

F

a M1

Page 18: Roller Coaster Physics

Putting it all together

a MFnet

Constant *

Newton is defined such that constant = 1.

a MFnet

aMFnet

Newton’s 2nd Law

Page 19: Roller Coaster Physics

Newton’s Laws

1st

Objects at rest will stay at rest and objects in motion will stay in motion, at a constant speed, in a straight line, unless acted on by a net force.

2nd

Objects with a non-zero net force accelerate in the direction of the net force via Fnet = ma

Page 20: Roller Coaster Physics

THE BRICK OF DEATH!!!

I

Physics

Page 21: Roller Coaster Physics

•What THING is pushing on the rocket?

•Is this a contact or non-contact force?

Page 22: Roller Coaster Physics

Poor Gary:

Gary has a major problem. After studying Newton’s Third Law in his physics class, he has convinced himself of its validity. Unfortunately, he has convinced himself while sitting in a closed room with a single door. He reasons to himself: “If I push on the door to go out, Newton’s 3rd Law tells me that the door is going to push back with an equal force. That force is going to cancel the force that I push with. Even if I push as hard as I can, that door is going to push back just as hard! Oh no! I’m stuck in this room! Why did I ever take physics!”

Page 23: Roller Coaster Physics

The famous bug problem:

• A bug splats on the windshield of a car moving at 100 mph. Which feels the greater force, the car or the bug?

• Which has the worst day?

Page 24: Roller Coaster Physics

WEP

NSP

person

NFS

WES

NPS

scale

Apparent Weight

True Weight

Newton’s 3rd Law and the Scale

Page 25: Roller Coaster Physics

Apparent weight

• measured as the reading of the scale

• equal to the normal force of the scale on your feet

• equal to weight for a=0

Page 26: Roller Coaster Physics

Elevator

WEP

NSP

v = constant

a = 0

Apparent Weight

True Weight

Page 27: Roller Coaster Physics

Elevator

WEP

NSP

a is upward

a

Apparent Weight

True Weight

Page 28: Roller Coaster Physics

Elevator

WEP

NSP

a is downward

a

Apparent Weight

True Weight

Page 29: Roller Coaster Physics

Elevator

WEP

NSP

How large should the normal force be?a =9.8 m/s/s down

g

Page 30: Roller Coaster Physics

Elevator

WEP

a =9.8 m/s/s down

How large should the normal force be?

g Weightless??Apparently

Page 31: Roller Coaster Physics

The weightlessness of space!

Page 32: Roller Coaster Physics

What’s his mass?

80 kg

Page 33: Roller Coaster Physics

What’s his weight?

648 N !

What ?

Page 34: Roller Coaster Physics

Apollo 17

Earth as seen from the Moon

Page 35: Roller Coaster Physics

What is the correct orbit of the space shuttle?

Page 36: Roller Coaster Physics

What is the correct orbit of the space shuttle?

Page 37: Roller Coaster Physics
Page 38: Roller Coaster Physics

a = 8.1 m/s2

a = 8.1 m/s2

a = 8.1 m/s2

a = 8.1 m/s2

a = 8.1 m/s2

a = 8.1 m/s2

Page 39: Roller Coaster Physics

Orbit

“…there is an art to flying, or rather a knack. The knack lies in learning how to throw yourself at the ground and miss.”

– Douglas AdamsLife, The Universe, and Everything

Page 40: Roller Coaster Physics
Page 41: Roller Coaster Physics

Circular motion

Which direction is the instantaneous velocity?

Page 42: Roller Coaster Physics

Uniform Circular motion

Which direction is the instantaneous velocity?

Which direction is the acceleration?

Page 43: Roller Coaster Physics

Uniform Circular motion

WE,B

TS,B

Freebody

Which direction is the instantaneous velocity?

Which direction is the acceleration?

Page 44: Roller Coaster Physics

Uniform Circular motion

Which direction is the instantaneous velocity?

Which direction is the acceleration?

WE,B

TS,B

Freebody

Page 45: Roller Coaster Physics

Uniform Circular motion

Which direction is the instantaneous velocity?

Which direction is the acceleration?

Freebody

Aren’t we missing something?

Ty

WE,BTx

Page 46: Roller Coaster Physics

THE CENTRIFUGAL FORCE!

Centrifugal. adj. Moving or directed away from the center.

Ty

WE,BTx

Page 47: Roller Coaster Physics

THE CENTRIFUGAL FORCE!CENSORED

Centrifugal. adj. Moving or directed away from the center.

Ty

WE,BTx

CENSORED

Page 48: Roller Coaster Physics

Forces

Non Contact Contact

Pushes PullsGravitational Electromagnetic Nuclear

Normal Friction Tension

M T f N

WElectric Magnetic

perpendicular to surface

Page 49: Roller Coaster Physics

Ty

WE,BTx

THE CENTRIFUGAL FORCE!CENSORED

Centrifugal. adj. Moving or directed away from the center.

The centri*&%#l force DOES NOT EXIST!For uniform circular motion the net force

must be towards the center of the circle.Therefore: The acceleration is ‘center

seeking’

CENSORED

CENSORED

Page 50: Roller Coaster Physics

Ty

WE,BTx

THE CENTRIFUGAL FORCE!CENSORED

Centrifugal. adj. Moving or directed away from the center.

The centri*&%#l force DOES NOT EXIST!For uniform circular motion the net force

must be towards the center of the circle.Therefore: The acceleration is

centripetal

CENSORED

CENSORED

Page 51: Roller Coaster Physics

The swinging bucket of death

A

B

CI

Physics

Draw freebody diagrams for the water at points A, B, and C.

Page 52: Roller Coaster Physics

Centripetal Acceleration

For U.C.M. there must be a centripetal net force

Page 53: Roller Coaster Physics

Centripetal Acceleration

For U.C.M. there must be a centripetal net force centripetal acceleration