Question

On Earth, froghoppers can jump upward with a takeoff speed of 2.65 m/s. Suppose some of the insects are taken to an asteroid. If the asteroid is small enough, the froghoppers can jump free of it and escape into space. What is the diameter D1 (in kilometers) of the largest spherical asteroid from which they could jump free? Assume an asteroid density of 1.77 g/cm3. km Suppose that one of the froghoppers jumped horizontally from a small hill on an asteroid. What would the diameter D2 (in km) of the asteroid need to be so that the insect could go into a circular orbit just above the surface? D2 = km

Answer 1

a ve = 120M Wij ve = 24 kusan egon] vez many $123] (esen] ve = 2011 TT R2 ) (esp) R = 13 vě 1817 Gespan K = 3 x 2.65m/s) V 87T * (6-67X10" Maraga ) (1.77X133x4m3) R = 2664.63 m Dlamenkn = 2R = 2X2664.63 = 5329.26m25-33 km y? - Chap Tre? esma? R = 3 V? = 3x (2.6592 V 4716 esp: - 4T (6.67x16") <(1-77X103) = 3768.36m V R = 3768.36m Dlam elen - 2R = 2x3760-36 = 7536.713m 7.54 km

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