mv2 The centripetal force of an object of mass m is given by F (r) = rotation and r is the distance from the center of rotation. ' where v is the speed of r a. Find the rate of change of centripetal force with respect to the distance from the center of rotation. F(r) b. Find the rate of change of centripetal force of an object with mass 500 kilograms, velocity of 13.86 m/s, and a distance from the center of rotation of 300 meters. Round to 2 decimal places. N/m (or kg/s²) F' (300)
mv2 The centripetal force of an object of mass m is given by F (r) = rotation and r is the distance from the center of rotation. ' where v is the speed of r a. Find the rate of change of centripetal force with respect to the distance from the center of rotation. F(r) b. Find the rate of change of centripetal force of an object with mass 500 kilograms, velocity of 13.86 m/s, and a distance from the center of rotation of 300 meters. Round to 2 decimal places. N/m (or kg/s²) F' (300)
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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Transcribed Image Text:mv2
The centripetal force of an object of mass m is given by F (r) =
rotation and r is the distance from the center of rotation.
'
where v is the speed of
r
a. Find the rate of change of centripetal force with respect to the distance from the center of
rotation.
F(r)
b. Find the rate of change of centripetal force of an object with mass 500 kilograms, velocity of
13.86 m/s, and a distance from the center of rotation of 300 meters. Round to 2 decimal places.
N/m (or kg/s²)
F' (300)
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