Projectiles, Energy, Momentum

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Projectiles, Energy, Momentum

• Louis Aronowitz
• Manish Amin
• Russell Macalintal
• Alex Kryszuk

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Diagram
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Purpose

• To perform an experiment that will illustrate the
  concepts of physics such as
• Conservation of momentum
• Conservation of energy
• Projectile motion

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Data to be Collected

• Mass of car, pendulum, and ball using scale
• Velocity at which ball is launched (given)
• Length of Car using meter stick
• Height of the table using meter stick
• Final height of the pendulum using meter stick
• Velocity of car at top of track using Photogate
• Experimental value of horizontal distance of the
  projectile using meter stick

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Equations

• MballVi MpendulumVi (Mball Mpendulum)Vcombo
• Plug in the data to find the velocity of the ball
  and pendulum combination
• E (1/2)McomboVi2
• Use the velocity of the combo to find the total
  energy of the pendulum and ball
• (1/2)McarV2 MgY (1/2)McarV2
• Use the initial velocity of the car obtained from
  the photogate to determine the cars final
  velocity at the bottom of the track
• ?Y Vit (1/2)gt2
• Use the height of the table and Vi 0 to find
  the time it takes for the projectile to hit the
  floor
• Vx ?X / t
• Use the calculated time to find the other value
  for the final velocity of the car

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Data Collected

• Mass of Car 0.0255 kg
• Length of Car 0.07 m
• Mass of Ball 0.0765 kg
• Mass of Pendulum 0.204 kg
• Velocity of the Ball 6.46 m/s
• Height traveled by Pendulum 0.035 m
• Velocity of Car at the top 1.675 m/s
• Height of the Table 0.885 m
• Distance of Projectile 0.99 m

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Results

• Initial velocity of pendulum 1.76 m/s
• Energy of the Pendulum and Ball combo 0.43 J
• Energy of the car .092 J
• Final velocity of car (conservation of energy)
  2.687 m/s
• Time of flight 0.42 sec
• Distance traveled by the projectile (accepted
  value) 1.142 m
• Final velocity of car (kinematic equations)
  2.357 m/s
• Work of Friction 0.021 J
• error for distance of projectile 13

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Sources of Error

• Energy lost to sound.
• Wind resistance.
• Human error in measurement.
• Entire setup was not aligned.
• Inconsistency of the pendulum hitting the car.
• Track isnt sturdy.