Let's write the formula for the gravitational acceleration on Earth:
gE=RE2GME,here, G is the gravitational constant, ME is the mass of the Earth, RE is the radius of the Earth.
Then, we can write the gravitational acceleration on another planet in terms of gE :
gp=Rp2GMp=(4RE)25GME=16RE25GME=165gE.Finally, we can find the weight of the space traveler:
Wtraveler,p=mgp=165mgE=165Wtraveler,E=165⋅540N=169N.Answer:
Wtraveler,p=169N.
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