Lab Report 2

starting with 600 g and also added 250g with the cart mass as well, starting at 495 for the cart. Then we recorded the acceleration three times each for every time we adjusted the weights on the hanger and the cart and then we averaged out those accelerations. Theory The harder something is pulled, F, then the greater the acceleration will be, which is shown with this equation: , where a is acceleration, F is force and m is mass. To find the total mass of 𝑎 = 𝐹 ? the system, use , where is the mass of the cart and is 𝑀 ???𝑎? = 𝑀 𝑐𝑎?? + ? ℎ𝑎??𝑖?? 𝑀 𝑐𝑎?? ? ℎ𝑎??𝑖?? the mass on the hanger. You have to take gravity acting on the hanger into account as well with the equation: and combining these equations gives an expression for 𝐹 = ? ℎ𝑎??𝑖?? ? acceleration, . 𝑎 = ???𝑐? ?𝑎?? = ? ℎ𝑎??𝑖?? ? 𝑀 𝑐𝑎?? +𝑀 ℎ𝑎??𝑖?? Results Table 1: Acceleration for fixed total mass Total mass: 600 g Hanging Mass (g) Cart Mass (g) Acceleration (m/s) Acceleration (m/s) Acceleration (m/s) Average Acceleration (m/s) 20 575 0.303 0.305 0.301 0.303 40 555 0.633 0.625 0.628 0.629 60 535 0.959 0.957 0.948 0.955 80 515 1.27 1.29 1.19 1.25 100 495 1.62 1.61 1.61 1.61 Table 2: Acceleration for a fixed force Hanging mass: 100 g Cart Mass (g) Total Mass (g) Acceleration (m/s) Acceleration (m/s) Acceleration (m/s) Average Acceleration (m/s) 495 600 1.58 1.60 1.68 1.62 745 850 1.11 1.09 1.10 1.1 995 1100 0.836 0.842 0.839 0.839