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Physics is Phun David S. Wright Professor of Physics Tidewater Community College

Physics is Phun David S. Wright Professor of Physics Tidewater Community College

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Page 1: Physics is Phun David S. Wright Professor of Physics Tidewater Community College

Physics is PhunDavid S. Wright

Professor of Physics

Tidewater Community College

Page 2: Physics is Phun David S. Wright Professor of Physics Tidewater Community College

7 in 1 Survival ToolWhistle

Compass

LED Light

Magnifying Glass

Mirror

Thermometer

Empty Space

Page 3: Physics is Phun David S. Wright Professor of Physics Tidewater Community College

Inverse Proportion ToolWhistle

Compass

LED Light

Magnifying Glass

Mirror

Thermometer

Empty Space

Page 4: Physics is Phun David S. Wright Professor of Physics Tidewater Community College

Whistle

Intensity= k/r2

Page 5: Physics is Phun David S. Wright Professor of Physics Tidewater Community College

Whistle

f=k/

Page 6: Physics is Phun David S. Wright Professor of Physics Tidewater Community College

LED Light

I=k/r2

Page 9: Physics is Phun David S. Wright Professor of Physics Tidewater Community College

Bimetal Thermometer

Radius=k/T

Page 10: Physics is Phun David S. Wright Professor of Physics Tidewater Community College

Mirror

Gives an Inverse of the Image

Page 12: Physics is Phun David S. Wright Professor of Physics Tidewater Community College

Compass

Magnetic Field (B) of an ideal dipole, measured along its axis?

Page 14: Physics is Phun David S. Wright Professor of Physics Tidewater Community College

Empty Space

{ }

Page 16: Physics is Phun David S. Wright Professor of Physics Tidewater Community College

Basket ball and Tennis ball

1 meter

Page 17: Physics is Phun David S. Wright Professor of Physics Tidewater Community College

mBvB1+mTvT1=mBvB2+mTvT2

Conservation of Momentum

Conservation of Energy

½ mBvB12 + ½ mTvT1

2 =

½ mBvB22+ ½ mTvT2

2

Page 18: Physics is Phun David S. Wright Professor of Physics Tidewater Community College

vB1=+4.5 m/s vB1= 0 m/s

vT1 = -4.5 m/s vT1= -9.0 m/s

Page 19: Physics is Phun David S. Wright Professor of Physics Tidewater Community College

mTvT1=mBvB2+mTvT2

mTvT12 = mBvB2

2+ mTvT22

This “simplifes” the equations:

Now it’s great fun to solve these!!!

Page 20: Physics is Phun David S. Wright Professor of Physics Tidewater Community College

vB2=(mTvT1-mTvT2)/mB

mTvT1=mBvB2+mTvT2becomes

Then

mTvT12 =mB ( )2+mTvT2

2(mTvT1-mTvT2)/mB

Then some factoring and hand waving occurs…

Page 21: Physics is Phun David S. Wright Professor of Physics Tidewater Community College

Eventually

vT2=(mT-mB)(mT+mB)

vT1

mB=.4 kg mT=.07 kg vT2= 6.3 m/s

Vfinal with respect to floor= 10.8 m/s

Final Height=5.8 m!!!!

Page 26: Physics is Phun David S. Wright Professor of Physics Tidewater Community College

InertiaSylvester's law of inertia

The number of eigenvalues that are postive, negative or zero do not change under a

congruence transformation. When a quadratic Q in n variables is reduced by a nonsingular linear transformation to the

form Q=y1

2+y22+…+yP

2-yP+12-yP+2

2-…yn2 the number P of positive squares appearing inthe reduction is an invariant of the quadratic

form Q and does not depend on the method of reduction.

Page 31: Physics is Phun David S. Wright Professor of Physics Tidewater Community College

Penny Barge

10 cm

x10cmx

10-2x

x

10-2x

Page 32: Physics is Phun David S. Wright Professor of Physics Tidewater Community College

Maximize Volume

V= L * W* H

L=10-2x W=10-2x H=x

V(x)=x(10-2x)2=4x(x2-10x+25)

dV/dx=0=4(x2-10x+25)+4x(2x-10)

dV/dx=4(3x2-20x+25)=0

Page 33: Physics is Phun David S. Wright Professor of Physics Tidewater Community College

Penny Barge

Solving by the Quadratic Formula x=5 x=5/3

6 2/3 cm

6 2/3 cm

5/3 cm

Page 35: Physics is Phun David S. Wright Professor of Physics Tidewater Community College

Physics is Phun