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where R = 3,960 miles is the radius of the earth.

35. Newton’s Law of Gravitation shows that if a person weighs w pounds on the surface of the earth, then his or her weight at distance x from the center of the earth is. where R = 3,960 miles is the radius of the earth.

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where R = 3,960 miles is the radius of the earth.

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  1. 35. Newton’s Law of Gravitation shows that if a person weighs w pounds on the surface of the earth, then his or her weight at distance x from the center of the earth is where R = 3,960 miles is the radius of the earth. • Show that the weight lost at altitude h miles above the earth’s surface is approximately • ΔW≈ −(0.0005w)h.Hint: Use the Linear • Approximation with dx = h. The distance to the center of the earth is 3,960 + h miles. (b) Estimate the weight lost by a 200-lb football player flying in a jet at an altitude of 7 miles.

  2. 39. A player located 18.1 ft from the basket launches a successful jump shot from a height of 10 ft (level with the rim of the basket), at an angle θ = 34° and initial velocity v = 25 ft/s.) (a) Show that Δs ≈ 0.255Δθft for a small change of Δθ. (b) Is it likely that the shot would have been successful if the angle had been off by 2°?

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