Set up your ramp such that it has a 1 to 2 angle (make measurements so...

 

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Set up your ramp such that it has a 1 to 2 angle (make measurements so that you will be able to calculate your angle later). Place your motion detector at the HIGH end of the ramp (so the cart doesn't crash into it) and slide the cart up toward the motion detector letting it slide back down to you. Make sure to push the cart gently enough so that it stops at least 40 cm away from the motion detector, but far enough up the ramp so that you get a significant amount of data. Measure the position and velocity graphs of the cart with the motion detector. Use the "line fit" tool in Logger Pro to get the slope of the linear portion of the velocity graph (the acceleration). 1) Did the acceleration of the cart depend on mass (did the acceleration change significantly)? 2) How does the acceleration of the cart depend upon angle (i.e. larger angle means acceleration)? 3) The actual acceleration of the cart is a = g sin 0 where g is 9.81 m/s2 and 0 is the angle of the ramp). Use this formula to calculate the theoretical acceleration for your different ramp angles. Calculate the percentage error between each of your measured and the calculated values. The formula for a percentage error is: Theoretical Experimental % Error -100 Theoretical Set up your ramp such that it has a 1 to 2 angle (make measurements so that you will be able to calculate your angle later). Place your motion detector at the HIGH end of the ramp (so the cart doesn't crash into it) and slide the cart up toward the motion detector letting it slide back down to you. Make sure to push the cart gently enough so that it stops at least 40 cm away from the motion detector, but far enough up the ramp so that you get a significant amount of data. Measure the position and velocity graphs of the cart with the motion detector. Use the "line fit" tool in Logger Pro to get the slope of the linear portion of the velocity graph (the acceleration). 1) Did the acceleration of the cart depend on mass (did the acceleration change significantly)? 2) How does the acceleration of the cart depend upon angle (i.e. larger angle means acceleration)? 3) The actual acceleration of the cart is a = g sin 0 where g is 9.81 m/s2 and 0 is the angle of the ramp). Use this formula to calculate the theoretical acceleration for your different ramp angles. Calculate the percentage error between each of your measured and the calculated values. The formula for a percentage error is: Theoretical Experimental % Error -100 Theoretical

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You provided an image which contains a description of an experimental setup for studying the relationship between the angle of an inclined plane or ra... View the full answer