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AP Physics C: Mechanics
3.3 Potential Energy
IntermediateMCQDrawing RepresentationsMathematical17.2k
A two-dimensional Cartesian coordinate plane showing a horizontal x-axis and a vertical y-axis intersecting at an origin labeled O. In the first quadrant, a single point labeled P is plotted. A horizontal dashed line connects point P to the y-axis at a tick mark labeled d. A vertical dashed line connects point P to the x-axis at a tick mark labeled d. No other labels, lines, text, or axes appear.
Position of the particle at coordinates (d, d) in the xy-plane.
A particle is constrained to move in the xy-plane under the influence of a conservative force. The potential energy of the particle as a function of position is given by \(U(x,y) = C(x^2 + 2y^2)\), where \(C\) is a positive constant. Which of the following vector diagrams best represents the direction and relative components of the net force \(\vec{F}\) exerted on the particle when it is at position \((x,y) = (d, d)\), where \(d > 0\)?

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