It is a fundamental law of Physics that the force the Earth exerts on an object 5) varies inversely as the square of its' distance from the Earth's center. Thus, an object's weight F(x) is related to its' distance x from the Earth's center by a formula of the form k F(x) =. k is a constant of proportionality whose value depends on the mass of the object and the units of force and distance. Of course, to move an object AWAY from Earth, the Force required is at least its' weight at a given distance x...hence F(x) can also be used as a Force function. SpaceX's retired Dragon spacecraft, which was used to help supply the International Space Station (ISS), weighs approximately 4.65 tons "dry" (unloaded) on the surface of the Earth. a) Assuming that the Earth is a sphere of radius 4000 miles, solve the equation k 4.65 = to discover the constant k in the Force formula mentioned 4000? above. Then, write F(x) out with that specific k value installed. This will be the Force model that pertains to the Dragon specifically.
It is a fundamental law of Physics that the force the Earth exerts on an object 5) varies inversely as the square of its' distance from the Earth's center. Thus, an object's weight F(x) is related to its' distance x from the Earth's center by a formula of the form k F(x) =. k is a constant of proportionality whose value depends on the mass of the object and the units of force and distance. Of course, to move an object AWAY from Earth, the Force required is at least its' weight at a given distance x...hence F(x) can also be used as a Force function. SpaceX's retired Dragon spacecraft, which was used to help supply the International Space Station (ISS), weighs approximately 4.65 tons "dry" (unloaded) on the surface of the Earth. a) Assuming that the Earth is a sphere of radius 4000 miles, solve the equation k 4.65 = to discover the constant k in the Force formula mentioned 4000? above. Then, write F(x) out with that specific k value installed. This will be the Force model that pertains to the Dragon specifically.
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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