Universal Gravitation Activity

 This model shows the effect of gravitational attraction between two objects, demonstrating that gravitational forces are directly proportional to mass of each body, but inversely proportional to the square of the distance between the bodies. The model may be easily modified to demonstrate Coulomb's Law.

 TEACHER RESOURCES Teacher Materials Student Activity Student Assessment Learning   Goals/Standards COMPUTER MODELSTELLA Version isee Player Software Right-click to download the model Web-based Simulation COMPUTER MODELVensim Version Vensim PLE Software Right-click to download the model Universal GravitationVensim

 THE MODEL DIAGRAM THE EQUATIONS position_1(t) = position_1(t - dt) + (rate_of_change_of_pos_1) * dt INIT position_1 = initial_pos_1 rate_of_change_of_pos_1 = velocity_1 position_2(t) = position_2(t - dt) + (rate_of_change_of_pos_2) * dt INIT position_2 = initial_pos_2 rate_of_change_of_pos_2 = velocity_2 velocity_1(t) = velocity_1(t - dt) + (rate_of_change_of_vel_1) * dt INIT velocity_1 = 0 rate_of_change_of_vel_1 = accel_1 velocity_2(t) = velocity_2(t - dt) + (rate_of_change_of_vel_2) * dt INIT velocity_2 = 0 rate_of_change_of_vel_2 = accel_2 accel_1 = net_force/mass_1 accel_2 = -net_force/mass_2 collision = if (distance_between<(radius1+radius2+ .005)) then pause else 0 distance_between = ABS(position_2-position_1) initial_pos_1 = 0 initial_pos_2 = .2 mass_1 = 6E6 mass_2 = 6E6 net_force = 6.67E-11*(mass_1*mass_2)/(distance_between^2) radius1 = .001 radius2 = .001

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