Need help on part B (So you can disregard part A). The hint that was given for t

Question

Need help on part B (So you can disregard part A). The hint that was given for this problem can be found underneath the problem. Under the hint I have included my data for delta t=. 002 seconds. I only displayed up to 10 steps (0.020 seconds) for simplicity as all of my data would not fit in a single screen shot. If you need a specific step or time, let me know although the steps/times follow the same pattern as listed from 0-10. Thank you in advance!

a) (5 pts) Consider a mass sliding down a frictionless curve in the shape of a quarter circle of radius 2.00 m as in the diagram. Assuming it starts from rest, use Euler's method to approximate both the time it takes to reach the bottom of the curve and its speed at the bottom. You may either use a spreadsheet like MS Excel or you may write and execute a computer program in the language of your choice. Do three trials: t = 0.2s, 0.02s, and 0.002 s. Compare the predicted speed at the bottom for each case to the accepted value of 6.261 m/s. (Calculate a percent error.) Does the approximation improve as t becomes smaller? b) (5 pts) Repeat (a), but this time assume a constant kinetic friction coefficient of ,- 0.200. Again determine the time to the bottom and the speed at the bottom. . You need only run one trial: 0.002 s. As you do not have a “correct" value to compare, do not calculate a percent error

Explanation / Answer

here i think the coefficient of kinetic friction will not effect the motion since centripetal acceleration is inward ,

hence gsin(theta) - N = v^2/R

here N is normal force.

so after substituting theta acceleration can be found out.

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