I think it's true
I'm not really sure
The centripetal acceleration of an object is given by the relation,

where Ac = centripetal acceleration =
R = radius of rotation = 15 m
V = speed of astronaut
Hence, 
solving this we get, V = 38.34 m/s
I don't know for sure but i think that it is because the force him pushing her pushed him back as well
Hope i helped
Answer:
what is the direction of the sum of these two vectors?
Answer:
The value of acceleration due to gravity is greater in terai than in mountain. In terai region the radius of earth is less as it lies close to the centre of the earth. Thus, the value of g is more in terai region.