PhysicsLAB: Data Analysis #7

Chart #7

Formula

y-axis
variable

x-axis
variable

solved
equation

slope

Kepler's 3rd Law

T²

r³

slope = 9.89 x 10^-14

intercept = -2.31 x 10⁶

r represents the satellite's orbital radius
T represents the satellite's orbital period
G = 6.67 x 10^-11 Nm²/kg²
M represents the mass of the Earth

According to the slope of the line, what is the mass of the Earth?

If the Earth's actual mass is recorded as 5.98 x 10²⁴ kg, what is the accuracy of this data?

Using the equation of the line for this data, interpolate the orbital radius of a satellite that takes one day, or 24 hours, to make one revolution around the Earth.