Question

Question 3 4 pts A rubber stopper is attached to a string and swung in a horizontal circle with a radius of 0.8 meters. A student collects the following data: Speed, Force, m/s N 4.0 1.00 5.0 1.56 6.0 2.25 17.0 3.06 8.0 4.00 Graph this data to find the mass of the rubber stopper. Hint: What is the formula relating (radial) Force and Speed? • This data is NOT linear. You'll need to add a column and modify the data Graph the modified data • Add a trend line and equation (set the intercept to 0) .

Answer 1

F = mv² / r

F = (m / r) v²

so,

graph should be betwee Force ( y-axis) and v² (x-axis)

Here is the graph

Data Set 1 Х Y 4.0 1 16 1.00 2 25 1.56 3.5 3 36 2.25 4 49 3.06 3.0 5 54 4.00 6 2.5 LINEAR Х 7 X-range: 16 - 64 y = mx + b 8 2.0 9 10 1.5 m: 0.0625 b: -0.001131 r: 1 RMSE: 0.001579 1.00 20 25 30 35 40 15 50 55 60

so,

slope = 0.0625

from above equation

slope = m/r = 0.0625

m = 0.0625 * r

m = 0.0625 * 0.8

m = 0.05 Kg