T +10:39 3720BAB VPN 92% + . . . Background Using models is an important aspect of scientist's work in addition to traditional experiments. In this investigation, you will model the trajectory of a rocket at varying altitudes. You will build a set of data points, plot a curve, and determine the slope of the curve. Finally, you will use your data and analysis to derive G, the gravitational constant. Purpose To determine the value of the gravitational constant, G. Equipment and Materials Calculator Graph Paper and/or Graphing calculator Table 1 The Gravitational Force for a Sampling of Rocket Heights Gravitational Height above Earth's Height including Procedure force (N) surface (m) Earth's radius (m) 2.70 X 107 0 A rocket with a mass of 2.75 x 10kg rises from Earth's 2.32 X 10 500 000 surface. Table 1 shows its height and the gravitational force 2.02 X 10 1 000 000 on the rocket at various points along its trajectory. Use the 1.56 X 107 2 000 000 data in the table to create a graph of gravitational force as a 1.25 X 107 3 000 000 function of distance from the center of Earth. (Hints: The 1.02 X 107 4 000 000 rocket's height above the surface is not the same as its 8.47 X 106 5 000 000 distance from Earth's center. Use the empty column in the 7.16 X 106 6 000 000 data table to determine the rocket's height, including 6.13 X 106 7 000 000 w 1 - Earth's radius. 5.30 X 106 8 000 000 V 4.64 X 106 9 000 000T + 10:39 3720BAB VPN @ 92% K S + : 0 Table 1 The Gravitational Force for a Sampling of Rocket Heights Gravitational Height above Earth's Height including Procedure force (N) surface (m) Earth's radius (m) 2.70 X 107 0 A rocket with a mass of 2.75 x 106kg rises from Earth's 2.32 X 10' 500 000 surface. Table 1 shows its height and the gravitational force 2.02 X 107 1 000 000 on the rocket at various points along its trajectory. Use the 1.56 X 10' 2 000 000 data in the table to create a graph of gravitational force as a 1.25 X 107 3 000 000 function of distance from the center of Earth. (Hints: The 1.02 X 10 4 000 000 rocket's height above the surface is not the same as its 8.47 X 106 5 000 000 distance from Earth's center. Use the empty column in the 7.16 X 106 6 000 000 data table to determine the rocket's height, including 6.13 X 106 7 000 000 Earth's radius. 5.30 X 10 8 000 000 4.64 X 106 9 000 000 4.09 X 106 10 000 000 1. Briefly describe the graph's shape 1.57 X 106 20 000 000 8.28 X 105 30 000 000 5.09 X 105 40 000 000 2. Create a data table showing gravitational force 3.45 X 105 60 000 000 versus -, where ris Earth's radius, 6.38 x 105m, 2.49 x 105 60 000 000 plus the height of the rocket. Earth's mass is 1.88 X 105 70 000 000 5.98 x 1024 kg. If graphing software is available, do 1.47 X 105 80 000 000 1.18 X 10 90 000 000 an inverse-square curve fit. Record the constant involved. 9.68 X 104 100 000 0 w 1 - 3. Determine the slope of the graph you created in Step 3. VT + 10:39 3A20BAB VPN @ 92% K TOO + . . . O SPH4U Assignment 7A: Universal Gravitation- Rubric Analyze and Evaluate a) How did your first graph differ from your second graph? b) To what does the slope of the second graph correspond? c) Describe in your own words how you used the data in the table to determine G. d) What answer did you calculate for G? The current accepted value for G is 6.67 x 10-11N . m2 /kg2. Evaluate the procedure you used to calculate G. Were you able to come up with the correct value? Apply and Extend e) Jupiter is much larger and more massive than Earth. Explain how you think your graphs would appear if you conducted this student on Jupiter. What would happen to the value of G? Explain your answer. f) Why is it important for scientist to study about Universal Gravitation? g) What field/career will be benefited from applying what we learnt about Universal Gravitation? WIN <