The equation that shows these relationships is F = Gm,m/r. G is called the Universal Gravitation...

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The equation that shows these relationships is F = Gm,m/r. G is called the Universal Gravitation Constant. 4) Test the equation to see that it works for your data. Calculate G for trials 1, 6, and 10. Find it by using the rearranged equation. G=For2/(m,m2). The first is done for you. Verify the answer, then do the others. (Don't forget our masses were in billions of kg!) G = (16.7N) x (2km)2/[(1x10 kg) x (1x10 kg)] = 6.68x10-17 Nkm/kg GE= G = 5) The known constant, G, is 6.67x10" N m/kg. Why is our value different? Remember the simulation rounds the force, so we expect our G to be close. Also, the standard unit for distance in physics is m not km. 2 km is 2000 m... G = (16.7N) x (2000m)/[(1x10 kg) x (1x10 kg)] = 6.68x10" Nkm/kg (Close enough!) Verify that G, and G., would be very close to correct if you use meters! 6) Solve this problem! Use the known G, 6.67x10" Nm2/kg, and the equation above to determine the force of gravity on a person that has a mass of 85 kg on the surface of Earth. (massearth 5.98x10 kg. radius Earth = 6.37x10m) 7) Use the known acceleration due to gravity on the surface of Earth (10 m/s) to determine the force of gravity on an 85 kg person. (F,= mg) Does this confirm your work in #6? The equation that shows these relationships is F = Gm,m/r. G is called the Universal Gravitation Constant. 4) Test the equation to see that it works for your data. Calculate G for trials 1, 6, and 10. Find it by using the rearranged equation. G=For2/(m,m2). The first is done for you. Verify the answer, then do the others. (Don't forget our masses were in billions of kg!) G = (16.7N) x (2km)2/[(1x10 kg) x (1x10 kg)] = 6.68x10-17 Nkm/kg GE= G = 5) The known constant, G, is 6.67x10" N m/kg. Why is our value different? Remember the simulation rounds the force, so we expect our G to be close. Also, the standard unit for distance in physics is m not km. 2 km is 2000 m... G = (16.7N) x (2000m)/[(1x10 kg) x (1x10 kg)] = 6.68x10" Nkm/kg (Close enough!) Verify that G, and G., would be very close to correct if you use meters! 6) Solve this problem! Use the known G, 6.67x10" Nm2/kg, and the equation above to determine the force of gravity on a person that has a mass of 85 kg on the surface of Earth. (massearth 5.98x10 kg. radius Earth = 6.37x10m) 7) Use the known acceleration due to gravity on the surface of Earth (10 m/s) to determine the force of gravity on an 85 kg person. (F,= mg) Does this confirm your work in #6?