Forces Lab I have already done the lab but i need help answering these analysis questions Please help:

1. What is the equation for the line of best fit in the Force v acceleration graph that you created?

2. What is the significance of the slope for the line of best fit on the force vs acceleration graph? Based on this result, do you feel that your lab measurements were accurate? Explain why. 3. Calculate the tension in the rope for run 1. If you measured the tension with a smart cart, did your lab data support your calculation? 4. Using run 1, compare the force on the system with the product of the total mass and the acceleration by calculating the % difference. How close are they?

5. Estimate what the acceleration may have been if another 500g was placed on top of the cart in addition to all the masses you used in run 4.

Part 1: Assemble a dynamics cart tied to a long piece of rope that hangs over a pulley and attaches to a small mass. Place three or 4 additional small masses on top of the cart. If using a motion detector: Position the motion detector behind the cart so it will measure the acceleration of the cart. Prepare Capstone to graph velocity, acceleration, and (if you have a smart-cart) tension force Photograph your lab setup for run 1 - run 4 (all the runs) Release the cart and measure the acceleration of the cart as well as the tension force. Record the results in the data table Move one of the small masses from on top of the dynamics cart to hang below the other hanging mass. Release the cart and measure the acceleration of the cart. Repeat step 2 until all of the masses have been used to accelerate the cart. Complete the data table from this part of the lab Use the information from your data tables to construct a graph of Force vs. acceleration. Use a line of best fit to approximate the relationship between applied force and acceleration. State the equation for the line of best fit. Lab Data:

Mass Data:
Object	Cart	1st mass	2nd mass	3rd mass	4th mass
Mass (kg)	250g or 0.25kg	10g or 0.01 Extra Small	20g or 0.02kg Small	50g or 0.05kg Medium	100g or 0.1kg Large

Run data:
Run	Mass hanging(kg)	Force on the system (N)	Total mass of the system (kg)	Acceleration of the system (m/s2)	Tension force during acceleration (N)
1	0.01kg	0.10N	0.420kg	0.198m/s2	0.10N
2	0.03kg	0.26N	0.400kg	0.640m/s2	0.26N
3	0.08kg	0.63N	0.350kg	1.424m/s2	0.63N
4	0.18kg	1.62N	0.250kg	2.663m/s2	1.62N

Images Part 1:

Run data: Acceleration Force Run 0.25 Mean: 0.198 0.20 0.15 force IN eration (mis') 0.10 0.05 0.00 Mem 0.10 -0.05 -0.10 0.15 10.20 0.5 1.0 2.0 Run 1 Force [Run 1 M/52 ] 2 Mean: 9.640 Force INI Acceleration [m') 12 71 240 16 18 20 22 0.0 1.5 2.0 2.5 Run 2 Force un 2 Acceleration 3 02 01 Mean: 1.424 Acceleration [miv) 03 04 10 12 16 20 23 04 07 0.0 0.2 0.4 0.6 08 20 12 24 15 10 2.0 2.2 24 Ran 3 For Run 3 Accele 4 Force ON Mean: 2.456 0.0 0.2 1.2 1.8 20 2.2 02 0.6 0.8 Run 4 Acceler ain 4 ForceRun data: Run Acceleration Force Bank: 1.57 3 Mean: 2.180 2 1 1.2 Acceleration (m/'s 1.0 0.2 O0 02 04 0.6 08 1.0 12 14 16 1.8 2.2 24 26 28 3.0 lun 1 Force 0.2 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 16 18 2.0 2.2 18 3.0 Time (s) Sun 1 Acceleration 2 2.2 2 2.6 28 30 3.2 Run 2 Force 3 22 16 12 02 22 32 Russ 3 Force 4 Mean : 2.887 14 Mean: 1.37 8 5 Acceleration [mis") Run & Farce 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 Time (s) Run 4 Acceleration