In this challenge, we will be tasked to perform a simple experiment involving the rolling of a metal ball bearing down an inclined plane and measuring the time it takes to travel the horizontal track.
A vector quantity is completely specified by a magnitude with appropriate units and has a direction. The convention for vectors in this manual is bold face, with an arrow on top of the
quantity and its magnitude is under the arrow.
Some useful properties of vectors include vector addition, and subtraction. In vector addition of two vectors, we write the resultant as A+B=R, C=A+(-B).
We first define what energy and work are. Energy is usually defined to be the ability a physical system can do work on other systems. Work is defined to be the amount of energy transferred to another system by a force acting through a distance.
Gravitational Potential Energy= MGH (M=Mass G=Gravity H=Height)
Kinetic energy= 0.5MV^2 (M=Mass V=Speed)
MGH=0.5MV^2
V=Square Root(2gH)
Apparatus - Inclined track with adjustable slope, horizontal track with skirting, photogates & the Smart Timer.
Take measurements of at least 15 angles between 10o and 50o. Determine the angle for the minimum time of travel.
Repeat the experiment using the photogates with a track and a ball bearing that is covered with oil. Determine the angle of inclination for the minimum time of travel across the horizontal track. The team with an angle of inclination that gives the shortest travel time in both challenges wins!
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