Space rover weighs 100 n on earth while a different space rover weighs 100 n on the moon
when you compare the masses of the two space rovers, which rover has the greater mass?

The second rover has a greater mass.

Explanation:

Given data,

The weight of the space rover on earth, W = 100 N

                                       W = mg

                                        m = W /g

                                            = 100 / 9.8

                                            = 10.2 kg

Hence, the mass of the space rover on earth is, m = 10.2 kg

The weight of the different space rover on moon W' = 100 N

                                        W' = mg'

                                         m = W'/g'

                                             = 100 / 1.6   (acceleration due to gravity on moon g' = 1.6 ,m/s²)

                                          m = 62.5 kg

Hence, the second rover has a greater mass.

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west