Question

. Preliminary mass of your glider. Measure the distance between the track's legs This will be used to calculate the angle of incline of the track. Recor the data with uncertainties. measurements. Use the electronic balance to find th 1899 (kg) 1.013 Glider Mass : (m) Distance Between Track Legs: 6. Data Acquisition. Measure the height of the jack. Click the greer "Collect" button in LoggerPro, then release the glider from the top of the track. The computer should record the velocity and time when the glider passes through each of the photogates. From this information you can calculate the acceleration of the glider. Take several measure- ments. Change the height of the jack, measure it, then take several more measurements of the acceleration. Repeat, for several different heights of the jack a= 4 Things To Think About and Calculate 1. How can you calculate the angle of incline of the track? Do so for each height you used. 2. How can you use the information gathered by the computer to calculate the acceleration? Do so for all of your data. Average the values vou obtained for each height, and get the uncertainty from the standard tabl deviation. 3. Draw a free-body diagram for the glider. Neglect friction for now. How do you expect the acceleration to depend on the angle of incline? Give an equation, plot this relationship, and see if your data fits. It's easiest to see how good the fit is if your plot is linear, so do you want to plot acceleration vs angle? What should you plot to get a straight line? Check with me that you are plotting the right thing before you write it up. 4. What is your measured value for g, the acceleration due to gravity? 5. Think of a way to estimate the uncertainty in your value of q, and do it. Does your value for g agree with the textbook value? What are your sources of error?

I need help for numbers 1 and 3. For number one I measured the height of the track at angle. One of the heights was .082m. hypotenuse 1.013m. I did sin^-1(.082/1.013) and got 4.64 degrees. I used a sensor and aquired data for change in v and t as a glider fell down the track. I calculated the acceleration at that height and angle as -10.18 m/s^2. final V was 1.48, initial V .687. final t=.0675, initial t= .1454.
For number 3, it asks to provide an equation for the acceleration. The equation I came up with is a=gsintheta. But when I do that, I don't get a=-10.18
help with 4 and 5 would be appreciated as well

Answer 1

Questions 1 and 3 both focus on the acceleration of the object when place don an inclined plane.

The following diagram is helpful:

N mg cos (theta) mg sin(theta) Jack height mg cos(theta) F =mg Length tan(theta) height/length

The vertical force mg has been split into vector components along the plane and perpendicular to the plane. The component perpendicular to the plane is completely cancelled by the normal force exerted by the plane.

The component that is along the direction of motion is :

F =mgsin()

Since F = ma

ma mgsin(0) agsin(0)

This is the required formula for the acceleration.

The angle of the track is simply calculated as:

a 0=sin