Miami Dade College/North Campus PHY1004L PHY2053L PHY2048L Lab "Mass, Weight, and Reading on the scale." Data: Table One Mass (kg) Force (N) 0.2 1.848 0.4 3.804 0.5 4.780 1.20 9.655 1.25 10.14 1.30 10.35 Analysis: Part 1: Force vs. mass. . Insert a force-mass graph obtained with Logger Pro and the force sensor. What force does the force sensor read? Why? Explain using a free body diagram. 10 Statistics for: Run 2 | Force min: 1.835 at 1.360 max: 1.858 at 2.680 mean: 1.848 median: 1.847 sid. dev: 0.003232 samples: 251 Ay: 0.023 Statistics for: Run 1 | Force min: 3.790 at 4.220 max: 3.813 at 1.100 mean: 3.804 median: 3.802 0- std. dev: 0.003402 samples: 251 Force (N) Ay: 0.023 5 -10 2 3 Time (s) This graph shows how the force goes up as the mass increases 2Miami Dade College/North Campus PHY1004L PHY2053L PHY2048L . Using Logger Pro, create a graph of Average Force (y-axis) vs mass. 10 8 Linear Fit for: Data Set | Force on the sensor y = mx+b m (Slope): 7.526 N/kg b (Y-Intercept): 0.6793 N Correlation: 0.9981 RMSE: 0.2545 N 6 Force on the sensor ( N) A N 0.5 (4x:1.10 Ay:0.000) Mass (kg) . Explain the mathematical meaning of the slope and the y-intercept for your Force-mass graph. The slope is 0 because the force is a constant. The y-intercept is the force of the weight. . Write the equation relating the Force with the mass from your graph. y=7.526N/Kg(x)0.6793 N . What are the units of the slope express in basic units.? What is the physical quantity the slope? m/s^2 and it represents the gravitational acceleration 7.526N/Kg Determine your percentage error in you experiment. error = 14.91-1.84 x100% 4.91 =62.52 3Miami Dade College/North Campus PHY 1004L PHY2053L PHY2048L Part 2 Elevator Ride. . Insert the force-time graph obtained with Logger Pro and the force plate 1600 Statistics for. Latest | Force min: 1462 at 2.140 max: 1468 at 0.9200 mean: 1465 median: 1466 std. dev: 1.503 samples: 118 Ay: 6 Statistics for: Latest | Force 1500 min: 1461 at 5.160 max: 1533 at 3.780 mean: 1508 median: 1520 std, dev: 23.05 samples: 136 Ay: 72 Force (N) 1400 Statistics for: Latest | Force min: 1395 at 13.36 max: 1461 at 14.86 mean: 1416 median: 1411 sid, dev: 18.03 samples: 119 Statistics for. Latest | Force Ay: 66 min: 1452 at 10.98 max: 1479 at 9.640 edian: 1465 stad, dev: 4.744 samples: 352 Ay: 26 1300 20 40 60 (44.56, 1426.5) Time (s) . Identify the forces acting on a person while riding an elevator. Why the reading on the force plate changes while you are riding the elevator? The forces acting on the person are the force of gravity and the normal force, since the force of gravity is constant , then the scale reads the normal force. Answer the question posted in the purpose. Explain your reasoning. It measures the force your body exerts on the scale due to gravity. Force= mass * gravity. Label every distinct part in the elevator ride graph, describe the motion of the elevator in each part and create a qualitative free body diagram for each.1600 Statistics for: Latest | Force min: 1462 at 140 max: 1468 at 0.9200 mean: 1465 median: 1466 sid. dev: 1.503 samples: 118 Ay: 6 Statistics for. Latest | Force 1500 sid. dev: 23.05 samples: 136 By: 72 Force (N) 1400 Statistics for: Latest | Force min: 1395 at 13 36 market dev: 18.03 samples: 119 Statistics for: Latest | Force Ay: 66 98 max: 1479 mean: 1465 median: 1465 std. dev: 4.744 samples: 35 By : 26 1300 0 20 40 60 (44.56, 1426.5) Time (s) T T T T T O O O - The elevator is on the ground then it moves moving upward, so the force also moves upward and rapidly goes back to the constant state when the elevator is in movement. When it arrives, the elevator goes slightly down and comes back up. Later the line stays in constant state. . Use the Force vs. time graph for the elevator ride and create a Net Force vs. time graph in Logger Pro: F = Force plate reading - Weight 5Miami Dade College/ North Campus PHY1004L PHY2053L PHY2048L Statistics for. Latest | Net Force min: date at 5, 160 max: 421.6 at 3.780 std. dev: 20 48 samples: 120 Statistics for: Latest | Net Force 400 Ay: 72 021 min: 341 2 at 10 98 max: 387 "15. dev. 4.767 samples: 335 By: 26.398 350 Net Force (N) 300 Statistics for: Latest | Net Force min: 350 8 at 2.140 max; 356.8 at 0.9200 Statistics for. Latest | Net Force min: 253.6 at 13 36 max: 350.6 at 14.88 std. dev: 1.552 samples: 117 std. dev : 21.16 samples : Ay: 6.027 Ay: 67 215 250- 0 20 10 60 (At:2.70 Ay:2.4) Time (s) Calculate the Professors mass using your data from the Force vs. time graph: O 1112.055 9.8 m/s = 113. 475kg Create an Acceleration vs. time graph for the elevator ride: acceleration = - I net mass 3.5 Accelereation (Nkg) (ms*2) 3.0 2.5 O- 20 40 60 Time (s) . Can the scale read zero while you are standing on it? Explain. Yes, if the up and down force are equal the net force will be equal. . Are astronauts in the International Space Station weightless? 6Miami Dade Collegeg'North Campus PHY1004L PHY2053L PHY2048L They experience weightlessness not because of a lack of gravity but because the ISS, and they, are orbiting Earth in constant free fall. Predict and Caleulate: Willis Tower in Chicago has one of the fastest elevators in the world with an average speed of 16 feet per second. Assume that the distance from the first to the last oor (108*) is 440m, and that the elevator speeds equal times speeding up, at constant speed, and slowing down. Calculate: o The acceleration for each interval. Interval l: Accelerating from rest to constant speed Interval 2: Moving at constant speed Interval 3: Decelerating from constant speed a The distance traveled during each interval. 1: 0.243 nus/'2 2: 0 ns'Z 3: -0.243 nsAZ o The distance traveled during each interval. 1: 12.29m 2: 48.94m 3: 12.29m o The reading on the scale for a 100kg person in each interval. 1:1024N 2: 1000 N 3: 976 N Conclusions : 0 Denitions: Mass, inertial mass, gravitational mass, forces, weight, force of gravity, and normal force, statements for Newton's 1\Miami Dade CollegefNorth Campus PHY1004L PHY2053L PHY2048L Force of Gravity- The force of gravity is an attraction that pulls all matter together. Matter is inherently attracted to other matter, due to the force of gravity. Normal F orce-lt's the component of a contact force that is perpendicular to the surface that an object contacts. Statements: Newton's 1st, 2nd and 3rd Laws of Motion Newton's first law states that, if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force. Newton's second law is a quantitative description of the changes that a force can produce on the motion of a body. It states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it. Newton's third law explains quantitatively how forces affect motion. They apply forces to one another that are equal in magnitude and opposite in direction. Physical meaning of the slope and the y-intercept. The slope indicates the rate of change, and the y-intercept represents the y-value when x is 0. Equations for Force of Gravity, Weight, and Newton's Laws, derive the expression the acceleration of an object riding an elevator. W: F g =mg weight= ma Fg= mg Explanation of errors Data was saturated There could have been movement when the weight was being taken. Also when in the elevator a loss of balance by the person being weighed could have affected the reading on the graph Textbook correlation. Giancoli, Douglas.Physics. Pearson. Pages 76-87. Force PgJ'Z Gravitational mass- pg. 81