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speedboat a negotiates a curve whose radius is 120 m. speedboat b negotiates a curve whose radius is 240 m. each boat experiences the same centripetal acceleration. what is the ratio of the speeds of the boats
speedboat a negotiates a curve whose radius is 120 m. speedboat b negotiates a curve whose radius is 240 m. each boat experiences the same centripetal acceleration. what is the ratio of the speeds of the boats
The ratio of the speeds of the two boats is 0.707.Explanation:The centripetal acceleration is given by the formula:a = v^2 / rSince the two boats experience the same centripetal acceleration, we can set up the equation:aA = aBSubstituting the formula for centripetal acceleration into the equation and rearranging, we get:vA^2 / rA = vB^2 / rBThe ratio of the speeds of the two boats, vA : vB, can be found by taking the square root of both sides of the equation:vA / vB = sqrt(rA / rB)Plugging in the values for the given radii, we find that vA / vB = sqrt(120/240) = sqrt(1/2) = 0.707The probable question is in the image attached....
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