Forces And Acceleration

Sakhi Thakkar September 24, 2023 PHY 133 TA: Fabiola Caeteleyva Force and Acceleration

Introduction: In this lab, we are going to study the relationship between force and acceleration. We will be using Newton’s Laws, mainly Newton’s Second Law, to find the mass of the IonLab device. Focusing on Newton’s Second Law, it states that acceleration will only occur when an applied force is acted on such object. Disregarding friction, when no force is applied to the object, acceleration will discontinue. However, it will continue to move at a constant velocity according to Newton’s First Law. Referring back to our intention, we would use the slope found from the Force vs Acceleration plots to find the mass of the device. Since the mass is unknown, this slope can be compared to the actual value. Methods/Procedures Equation(s) used -Fnet=ma -Fg=mg Preliminary Procedure Part I 1. Screw the plate attachment onto the force sensor 2. Place the device down on a flat surface with a vertical orientation and wheels up 3. Press record and only move in the y direction 4. After a few small pushes, stop, then hit the stop button With performing several tests with the IOLab, we can test these relations of force and acceleration. From here, tables and graphs were created using the raw data that was obtained from the IOLab device. The results we will be expecting out of the Force and Acceleration lab is that when the force increases on an object, acceleration increases as well. -Formula for uncertainty -Formula for percentage difference

Results As demonstrated in graph one, when a force is applied on a object, there is acceleration directly correlated with it. When the force peaks, so does acceleration. Hence, force and acceleration are connected with other. Data to find average force Date to find average acceleration A . 1B 2B B 1A

C 1C All 5 peaks 2C Zoomed on one peak Force (N) Acceleration (m/s^2) 5.026 7.282 9.333 12 17.949 0.622 0.902 0.967 1.183 1.529 Table including peak Force (N) and Acceleration (m/s^2) values of each peak 3C I

Calculations - Using gravitational force equation to find mass Fg = mg (from BD - 1 . 000N = m( -9 . 533/)) # -> the known value of mass " m = 0 104 Linear trea lie plot (from 4) ⑳ ° d n # Slope (mass] from graph : 0 . 095 I The mass from the linear tread-line plot iS 0 093kg . Comparing it to the known value of mass , which is 0 . 104kg , the difference is 0 . 009 - Using the parametric plot to find the - mass (using coordinates from 2D( -Y = m = + 1 -0 . 73T9N- x2-XI 10 . 9658m/s2-7 . 0254m/s = - 69N I - 0 . 0azig 3 . 9404MIS2 The mass from the parametric plot is 0 . 098kg · Comparing it to the known value of mass which is 0 . 104kg , the difference is 0 . 006 . Furthermore , comparing it to the linear tread-line plot , which is 0 . 095 , is 0 . 003 .

- Error Analysis Uncertainty in n · ( * ) = /- I ) (s o() = 0 1573103954- g Percentage Difference for Mass (accepted value - measured values x Lacepted value) "100 10 . 0959-0 . 104g)x - x100 0 . 0959 - 99 x100 - 9 . 4. , 955 the percentage diff . for part I 20 . 098g-o . longly g x100 x 100 -6 . 12 % is the percentage diff for part 2