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Why is the following situation impossible? A skater glides along a circular path. She defines a certain point on the circle as her origin. Later on, she passes through a point at which the distance she has traveled along the path from the origin is smaller than the magnitude of her displacement vector from the origin.

Why is the following situation impossible? A skater glides along a circular path. She defines a certain point on the circle as her origin. Later on, she passes through a point at which the distance she has traveled along the path from the origin is smaller than the magnitude of her displacement vector from the origin.

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Why is the following situation impossible? A skater glides along a circular path. She defines a certain point on the circle as her origin. Later on, she passes through a point at which the distance she has traveled along the path from the origin is smaller than the magnitude of her displacement vector from the origin.

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An arbitrarily curved wire that carries a current between two endpoints in the presence of a uniform magnetic field will experience the same net magnetic force as a straight wire carrying the same current between the same endpoints. Essentially, any forces experienced by parts of the wire that curve or twist away from the straight-line path are canceled out by forces on sections that curve back toward the original path. Furthermore, if the wire forms a closed loop in between the endpoints, the net force on the closed loop is zero. Using this result, consider a town where the Earth's magnetic field has a magnitude of 51.3 μT. The magnetic field vector lies in a vertical plane defined by the north-south and up-down axes, and it points 60.0∘ below the northward direction. In this town, a storefront window lies along the north-south vertical plane, and in the window is a neon sign (which is a thin current-carrying discharge tube). The sign carries a 35.1 mA current, starting from the lower south corner of the window, and ending at the opposite corner, which is 1.32 m to the north and 0.850 m upward. The sign spells out the word "BURGERS" between the two points. What is the net vector magnetic force (in μN ) on the neon sign? (Take east to be the +x-axis, up to be the +y-axis, and south to be the +z-axis. Do not include units in your answer.) F→B = μN

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