A 100-kg metallic ball at rest is being pulled by the strange magnetic field of a planet, where the force (in newtons) is given by the function F (r) = km Where: r = distance from the planet's surface in km m = object's mass in kg k = 5.00 km5/kg The metallic ball starts at a very distant position from the planet (r o) and falls towards the planet. What is the potential function U (r) of the planet? Use the condition lim,, U(r) = 0. What is the metallic ball's speed (in m/s) once the steel ball is one kilometer above the planet's surface? Justify your answer using your rationale and equations used.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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A 100-kg metallic ball at rest is being pulled by the strange magnetic field of a planet, where the force (in newtons) is given by the
km
function F (r) =
4p5
Where:
r = distance from the planet's surface in km
m = object's mass in kg
k = 5.00 km5/kg
The metallic ball starts at a very distant position from the planet (r
→ c0) and falls towards the planet.
What is the potential function U (r) of the planet? Use the condition lim,. U(r) = 0.
'r→∞
What is the metallic ball's speed (in m/s) once the steel ball is one kilometer above the planet's surface?
Justify your answer using your rationale and equations used.
Transcribed Image Text:A 100-kg metallic ball at rest is being pulled by the strange magnetic field of a planet, where the force (in newtons) is given by the km function F (r) = 4p5 Where: r = distance from the planet's surface in km m = object's mass in kg k = 5.00 km5/kg The metallic ball starts at a very distant position from the planet (r → c0) and falls towards the planet. What is the potential function U (r) of the planet? Use the condition lim,. U(r) = 0. 'r→∞ What is the metallic ball's speed (in m/s) once the steel ball is one kilometer above the planet's surface? Justify your answer using your rationale and equations used.
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