PHY122_Newtons2ndLaw_worksheet

NEWTON’S 2 nd LAW – LAB WORKSHEET Name: Newton’s 2 nd Law Partners: Shriya Danekar, Cole Kemp, Collin Hogan, Neha Satish TA: Dan Yangaliev OBJECTIVE To explore the relationship between net force and acceleration, to dissect Newton’s Second Law into a system of equations, and to solve the system of equations. Mass of S-hook = 5.3 grams Mass of cart = 512.1 grams EXPERIMENT #1 – CONSTANT SYSTEM MASS Label all values with appropriate units! Mass of the S-hook 0.0053 kg Run Mass on hanger Acceleration 1 0.0153 kg 0.231 m/s 2 0.0253 kg 0.402 m/s 3 0.0353 kg 0.577 m/s 4 0.0453 kg 0.735 m/s 5 0.0553 kg 0.902 m/s 1. What physics quantity does the slope of the velocity vs. time graph represent? 2. What does the slope of the acceleration vs. applied force represent? See step #13 in the manual. The physics quantity that the slope of the velocity vs. time graph represents acceleration. The slope of the acceleration vs. applied force represents the reciprocal of the sum of mass of the cart and hanger.

3. What is the experimental value of the total mass of the system and its corresponding uncertainty? m total = 0.567 kg ∆ m total = 0.0553-0.0153 = 0.040 kg Corresponding uncertainty = +/-0.014 4. Use the digital scale to measure the total mass of the system (cart, hanger, weights, and string). This is the theoretical value of total mass, m 0 . Calculate the percent discrepancy between m 0 and m total and show your work. See step #14 in the manual. m 0 = % = ((0.585kg - 0.5121)/0.5121) x 100% = 14.24% EXPERIMENT #2 – MEASURING GRAVITATIONAL ACCELERATION USING NEWTON’S SECOND LAW Label all values with appropriate units! Ru n Mass on hanger Moving toward sensor ( a 1 ) Moving away from sensor ( a 2 ) 1 0.0153 kg 0.255 m/s^2 0.342 m/s^2 2 0.0253 kg 0.428 m/s^2 0.528 m/s^2 3 0.0353 kg 0.584 m/s^2 0.688 m/s^2 4 0.0453 kg 0.740 m/s^2 0.840 m/s^2 5 0.0553 kg 0.894 m/s^2 0.974 m/s^2 5. Show a sample calculation for a avg using Eq. (6) in the manual. a avg = (a 1 +a 2 )/2 = (0.255+0.342)/2 = 0.299 m/s 2 𝑎 𝑎𝑣𝑔 6. Using the value of a avg you just calculated along with the masses you determined with the digital scale, show a sample calculation of gravitational acceleration using Eq. (7) in the manual. g = a avg ( M+m)/m g= 0.299(0.5121+0.0153)/0.0153 = 10.29 m/s 2 7. Using the mean value of g exp (given to you by Capstone), calculate the percent discrepancy between g exp and g 0 .

and is fairly accurately backed by the data. Data and Graphs collected during Lab experiment: