#### Transcript of THE PHYSICS OF CURLING

A GAME OF FRICTION

Curling depends on friction

Stone on ice

Broom on ice

Shoes on ice

Known coefficients of friction:

Stone on ice: 0.0168

Rubber on ice: 0.15

Movement of the broom can increase temperature of the ice by 1.5 degrees Celsius, reducing friction between the ice and stone

Coefficients of Friction

**THE PHYSICS OF CURLING **

Olympics

Non-Olympic Life

pt. 1 (same dir.)

Mass Blue Bowling Ball - 6.804kg

Mass Black Bowling Ball - 6.260kg

½ mv^2= ½mv^2+½mv^2 -- conservation of kinetic energy

added x and y vectors using Pythagorean Theorem for velocities after collision

Initial Kinetic Energy = 3.68j --> Final Kinetic Energy Sum = 2.39j

1.29j difference, amount lost to Friction/Heat

Explanation:

Unresurfaced ice

Rotational kinetic energy

Non-Olympic Life pt.2 (diff. dir.)

Mass Blue Bowling Ball - 6.804kg

Mass Black Bowling Ball - 6.260kg

½ mv^2= ½mv^2+½mv^2 -- conservation of kinetic energy

x vectors for velocity

initial kinetic energy: 4.697j

final kinetic energy: 1.482j

difference: 3.215j

Explanation:

at time of collision, there was a long enough duration that the first ball started to rotate, that rotation caused the second ball to rotate in the opposite direction, affecting its velocity (rotational kinetic energy)

unresurfaced ice

Olympics slash non-real

Goal: calculate mu of video, compare it to that of known mu

Force Friction=(mu)(m*g)

Force Friction = m*a

m*a=(mu)(mg) --> a=(mu)(g)

to find mu--acceleration of object divided by 9.8m/s/s

-0.1715=acceleration (loggerpro)

mu=(-0.1715)/(9.8m/s/s)= -(0.0175)

mu=0.0175

real mu of curling ice = 0.0168

difference -- .0007

percent error: -.04%

Non-Olympics

pt. 1 (same dir.)

Acceleration : 1.165m/s/s

a=(mu)(mg)

mass=6.804kg

g=9.8m/s/s

--> mu=a/g=1.165/9.8=.119

compared to real mu of .0168

difference = .102

experimental error: unresurfaced ice, kinetic rotational energy

mass curling stone: 17.2365kilograms

Pythagorean Theorem to add vectors V=sqrt(x^2+y^2)

½ mv^2= ½mv^2+½mv^2

before collision - 3.7255j

after collision - 2.224j

energy lost to heat/friction - 1.502j

Non-Olympics

pt. 2 (diff. dir.)

Elasticity of Collisions

2:25

:24

mass blue bowling ball: 6.804kg

acceleration: 1.275m/s/s

gravity: 9.8m/s/s

mu=a/g=1.275/9.8

mu=.130

compared to .0168

difference=.113

experimental errors, you know

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