Need help with 2,3,4 and 7. 7 is the question that starts with "the other variable"

Centripetal Acceleration Lab You are going to find the mass of a Smart Cart by whirling it around in a horizontal circle. The rock in the diagram is the Smart Cart. Use your imagination. & is the length of the string. . is the angle the string makes with the horizontal. " is the radius of the circle in which the Smart Cart travels. Pre-lab questions: 1. Draw a free body diagram for the Smart Cart. (2 points) 2. Write an Fret equation in terms of m, r, w, T, and 0. (5 points) 3. Use right triangle trigonometry to replace 0 with r and L. You should now have an equation in terms of T, L, m, and w. (2 points) What quantities could be graphed to obtain a line whose slope could be used to find the mass of the cart, m? (2 points) Horizontal axis Vertical Axis Measure the length of the string you will use (the distance from the point where you hold it to the MIDDLE of the cart). (1 point) L = _ One of your two variables (T) can be found using SparkVue. Make sure your cart has a hook attached to the force sensor, attach your string, turn on your cart, and connect to SparkVue. You need to measure Force, Se "Graph." The other variable (w) is rotation rate. Describe how you will measure w. (3 points) dure: aintaining a constant value for L, whirl your cart in a horizontal circle at four different constant speeds u can). Label the table below using the variables you are measuring and their units. Fill in the measure ues for the 5 different trials at 5 different speeds. (12 points)