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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.

Respuesta :

Answer:

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

adioabiola

The fastest that an astronaut with legs of length 0.67 m could walk on the surface of Europa is 0.94490 Nm/kg

How to find the fastest speed walk the surface of Europa

Given:

  • length = 0.67 m

  • Diameter of Europa = 3100 km

= 3,100,000 m

  • Mass = 4.8 × 10^22 kg

  • Using gravitational constant equation for find acceleration due to gravity at europa

g = GM/r²

Where,

  • gravitational constant = 6.67x10⁻¹¹ kg/s²

g = {6.67 × 10⁻¹¹ × 4.8×10^22} / (3100000/2)²

g = 1.332611862 Nm²/kg-m

  • Fastest speed = √(g×l)

Fastest speed = √( 1.332611862 × 0.67 )

Fastest speed = 0.94490 Nm/kg

Learn more about gravitational equation:

https://brainly.com/question/4208016

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