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College Physics
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ISBN: 9781305952300
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Publisher: Cengage Learning
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Consider a force in R3 defined by f(x,y,z)=(6*x*y^3, 9*x^2*y^2+2*y,0). Find the potential energy U(x,y,z) such that U(0,0,0)=0.
![Consider a force in R³ defined by F(x, y, z) = (6ry³,9x²y2 + 2y, 0). Find the potential energy U(x, y, z) such that U(0,0,0) = 0](https://content.bartleby.com/qna-images/question/c1700401-d068-4f58-907c-bdde0693b209/de6032b5-ec31-4f3b-8a37-3784826ab185/vum1h3_thumbnail.jpeg)
Transcribed Image Text:Consider a force in R³ defined by F(x, y, z) = (6ry³,9x²y2 + 2y, 0). Find the potential energy U(x, y, z) such that U(0,0,0) = 0
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- A 7.00-kg particle moves from the origin to position ©, having coordinates x = 6.50 m and y = 6.50 m as shown in the figure. One force on the particle is the gravitational force acting in the negative y direction. Using the equation (W = FAr cos 0 = F · Ař), calculate the work done by the gravitational force in going from O to © along the following paths. у (m) B (х, у) x (m) (a) the purple path (o0©) (b) the red path (O®© (c) the blue path (O© (d) Your results should all be identical. Why? This answer has not been graded yet.arrow_forwardThe potential energy of a system is given by: U(x,y,z)=5(J/m^2) x^2 + 7(J/m^3) xy^2 + 8(J/m^2) zy Find: The force acting on the system. Write the forces as the sum of its components. The magnitude of the force when x=1, y=0, z=2arrow_forwardProblem Thirteen. A potential energy function is given by U(r)=U2 where o = 2.00 m r r and U, = 1.00 J. Find the magnitude of the force at r= 1.00 m. Give an answer in kN. 25.) (A) 280 (В) 106 (С) 420 (D) 470 (E) 530arrow_forward
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