c. A two-dimensional conservative force acts on a 5 kg object. The potential energy associated with this force is given by: U(x, y) = 6x²y² + 16x - 12y + 500 a. What are the units of the coefficients (numbers) in the potential energy expression? b. Determine the force associated with this potential energy function. What is the change in the kinetic energy of the object as it moves from position (3m, 3m) to the origin (0,0)?

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A two-dimensional conservative force acts on a 5 kg object. The potential energy associated with this force is
given by: U(x, y) = 6x²y² + 16x - 12y + 500
a. What are the units of the coefficients (numbers) in the potential energy expression?
b. Determine the force associated with this potential energy function.
c. What is the change in the kinetic energy of the object as it moves from position (3m, 3m) to the origin
(0,0)?
Transcribed Image Text:A two-dimensional conservative force acts on a 5 kg object. The potential energy associated with this force is given by: U(x, y) = 6x²y² + 16x - 12y + 500 a. What are the units of the coefficients (numbers) in the potential energy expression? b. Determine the force associated with this potential energy function. c. What is the change in the kinetic energy of the object as it moves from position (3m, 3m) to the origin (0,0)?
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