Print 1 Calculator -a Periodic Table n 8 of 16 Sapling Learning macmilan learnir

Question

Print 1 Calculator -a Periodic Table n 8 of 16 Sapling Learning macmilan learnirg Map A team of astronauts is on a mission to land on and explore a large asteroid. In addition to collecting samples and performing experiments, one of their tasks is to demonstrate the concept of the escape speed by throwing rocks straight up at various initi rocks need to be thrown in order for them never to "Tall" back to the asteroid? Assume that the asteroid is approximately spherical, with an average density = 202 x 1ge gin? and volume V 263 x1gem Recall that the universal gravitational constant is G-6.67 x10"N m/kg al speeds. With what minimum initial speed will the Number m/s esc

Explanation / Answer

We know that escape velocity = sqrt(2GM/R)

here volume, 4/3 pi R^3 = 2.63e12

R = [2.63e12*3/(4 pi)]^(1/3)

= 8563 m

escape velocity = sqrt(2GM/R) = sqrt(2*6.67E-11*2.63E12*2.02E3/8563)

= 9.097 m/s ANSWER

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