Question

Question #a4bc2

Answer 1

I found `500N`

Explanation:

Considering that the weight of the astronaut is given as:
`W=700N=m_a*g=m_a*[G*m_(earth)/R_(earth)^2]` where:
`G` is the Universal Gravitational Constant:
`R_(earth)` is the earth's radius;
`m_(earth)` is the earth's mass.

Now if we use the data for the other planet we get:
`m=3m_(earth)`
`R=2R_(earth)`
`W=m_a*g_(?)=m_a*[G*(3m_(earth))/(4R_(earth)^2)]`
so:
`m_a*[G*m_(earth)/R^2]*3/4=3/4*700=525~~500N`