In reality, there is energy lost due to rolling friction and air resistance. Air resistance can...

 

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In reality, there is energy lost due to rolling friction and air resistance. Air resistance can be assumed to be negligible at the slow speeds tested today. Therefore, the conservation of energy equation becomes: 1 mgh == mv + 1w + #rolling ramp Where Hrolling is the coefficient of rolling friction, and Iramp is the length of the ramp. Hrolling can be assumed to be 0.0007 J/m based on previous experiments, and the length of the ramp is to be measured. It is important to note that the ball starts at rest, thus there are no kinetic energy terms on the left side of the equation. When the ball reaches the bottom of the ramp, there are no potential energy terms because we consider the end of the ramp to have a height of zero. Thus the above equation satisfies the law of the conservation of energy. From the above equation, the theoretical speed of the ball can be calculated. This value will be compared against the measured speed from the LED sensor to find the correction factor for the sensor. It is easiest to find v2 by rearranging the above equation, as seen below: V2=4 2 (mgh-rolling ramp 13m 0.5 In reality, there is energy lost due to rolling friction and air resistance. Air resistance can be assumed to be negligible at the slow speeds tested today. Therefore, the conservation of energy equation becomes: 1 mgh == mv + 1w + #rolling ramp Where Hrolling is the coefficient of rolling friction, and Iramp is the length of the ramp. Hrolling can be assumed to be 0.0007 J/m based on previous experiments, and the length of the ramp is to be measured. It is important to note that the ball starts at rest, thus there are no kinetic energy terms on the left side of the equation. When the ball reaches the bottom of the ramp, there are no potential energy terms because we consider the end of the ramp to have a height of zero. Thus the above equation satisfies the law of the conservation of energy. From the above equation, the theoretical speed of the ball can be calculated. This value will be compared against the measured speed from the LED sensor to find the correction factor for the sensor. It is easiest to find v2 by rearranging the above equation, as seen below: V2=4 2 (mgh-rolling ramp 13m 0.5