Europa, a satellite of jupiter, is believed to have a liquid ocean of water (with a possibility of life) beneath its icy surface. in planning a future mission to europa, what is the fastest that an astronaut with legs of length 0.67 m could walk on the surface of europa? europa is 3100 km in diameter and has a mass of 4.8×1022kg.

maximum speed  = 0.94490 Nm/kg

Explanation:

Given data

length = 0.67 m

diameter = 3100 km 3100000 m

mass = 4.8×10^22 kg

to find  out

maximum speed

solution

we will use here gravitational constant equation for find acceleration due to gravity at europa i.e

g = GM/r²

g = 6.67 × 10^(-11) ×  4.8×10^22 / (3100000/2)²

g = 1.332611862 Nm²/kg-m

so maximum speed will be √(gr)

maximum speed  = √( 1.332611862 × 0.67 )

maximum speed  = 0.94490 Nm/kg

increases it

this would be about 43%