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The Physics of Sports

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Sebastian Kohn

on 23 October 2012

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Transcript of The Physics of Sports

Energy -Kinetic energy: the energy a body has because of its motion. Ek = 1/2 . m . v
-Potential energy: the energy a body has because of its position or condition.
Ep = m . g . h When you approach the ball, your body has kinetic energy and you want to turn that into potential energy. THE PHYSICS OF VOLLEYBALL Works Cited -BBC News by Victoria Gill
-“Real World Physics Problems” by Franco Normani
(http://www.real-world-physics-problems.com/physics-of-volleyball.html)
-“The Physics of Volleyball” by Tiffany T.
(http://www.east-buc.k12.ia.us/02_03/ce/tt/tt.htm)
-"Tangient LLC"; by Eric Ablett, Dominick Bellizzi, Ryan Bowse, James Byers, Sarah Cove, Max Dobrusin, Adam Frey, Jeff Hanke, Ryan Koopmans, Julie Newcomb, and Carole Snitzer.
(http://sportsphysics101.wikispaces.com/Physics+and+Volleyball)
-"Tina and James's Physics of Volleyball" (http://www.mrfizzix.com/volleyball/)
- "Topend Sports", by Rob Wood (http://www.topendsports.com/sport/volleyball/physics.htm)
-Moellendorf, Suzanne. The Physics of Volleyball. 1999
(http://www2.hesston.edu/Physics/Volleyball/paper.htm)
- "Volleyball Court Central" (http://www.volleyball-court-central.com/volleyball_clipart.html)
- "Advanced Level Mathematics: Mechanics 1"; Quadling, Douglas; Cambridge University Press; 2002
- "IGCSE Physics"; Duncan, Tom; Hodder Murray; 2001 Defense Serving Hitting DISPLACEMENT Definition: change in position of an object such as the player or ball
- happens when players move
set, bump, dig, spike
- happens when the ball moves
ball moves from player to player
ball moves from one side of the net to the other
Change in Displacement= Df - Di VELOCITY Definition: the speed of something in a given direction
V=d/t
Used to measure
how fast a player moves
how fast the ball moves ACCELERATION Definition: the rate of change of velocity per unit of time
a = (Vf-Vi)/ (tf-ti) Used to find
speed of a player whose velocity increases and decreases during a certain amount of time
player moves forward and speeds up= positive acceleration
player moves forward and slows down= negative acceleration Example: GRAVITY Definition: is the force that pulls together all matter Gravity affects everything gravity is what makes the ball return to the ground
without gravity there would be no game Newton's law Newton's first law- Every object remains in a state of rest or of uniform motion in a straight line unless forces act on it to change that state. Examples:
when the ball is falling it will continue to fall until it hits the ground or is passed by another player
volleyball net will not move unless its hit by a player or the ball Newton's second law- When a force of F newtons acts on an object of mass m kg, it produces an acceleration a . Equation:
F=m.a Example:
the force a ball is hit with. Newton's third law- For every action there is an equal and opposite reaction (normal contact force) Example:
when the ball hits a player's arms WORK In order for work to be done
the object must move when force is applied to it
the object must move in the direction that force has been applied to it

In a volleyball game a lot of work is being done because the ball is continuously being hit around the court (pass, set, hit, serve)

Equation: Work = F x D
Example problem: If a player applies a force of 75 Newtons (N) to a volleyball and hits it 5 meters (m) into the court how much work has been done? Defense includes passing and digging the ball
Cushion hard hits and swing on the slow ones
The physics in defense include
- displacement
- velocity
- force (Impulse momentum theorem) The physics in serving include
- average velocity
- average acceleration The physics in hitting include
speed
placement of the set- needed to determine when to start your approach
distance- needed to travel to be able to hit the ball in time
kinetic energy to potential energy
momentum Where:
-g is the acceleration due to gravity (equal to 9.8 m/s2 on earth)
-H is the height of the net
-hmax is the maximum height reached by the ball
-ho is the initial height of the ball at the serve location
-V is the initial serve velocity of the ball
θ-is the initial angle the ball makes with the horizontal (and above it)
-Point A is the serve location
-Point B is the location just above the net, through which the ball passes
-Point C is the location on the court where the ball lands Where:
-La is the distance from the serve location (behind the end line) to the net, along the direction the volleyball is served
-Lb is the arbitrary distance from the net to where the ball lands on the other side of the court, along the direction the volleyball is served
-d is the distance beyond the net where the ball lands
-aα is the angle the volleyball trajectory makes with the side line PHYSICS
OF SPORTS THE THE PHYSICS
OF THE IMPOSSIBLE
GOALS 2 THE MAGNUS EFFECT AND AIR RESISTANCE - aerodynamic force that reduces time of the ball inthe air - the pressure is greater on the top of the ball
due to Bernoulli's principle
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