Question

Object A weighs 750 N on earth. Object B weighs 750 N on Jupiter.
Which object has the greater mass?

Answer 1

The object A has the greater mass compared to object B.

Explanation:

The weight of any object on any planet is the measurement of gravity’s influence acting on the mass of the object. So for Earth, the acceleration will be acting on the object A’s mass (m) in Earth leading to the weight of the object A as 750 N.

While the acceleration of Jupiter will be acting on the object B’s mass kept in Jupiter to attain the weight of 750 N. So, the mass of both the objects at their respective planet will vary depending on the acceleration of each planet. We can check this as below:

            $\text { object A's weight }=\text { m of object A } \times \text { Acceleration of Earth}$

So,

           $750 \mathrm{N}=\text { m of object } A \times 9.8 \mathrm{m} / \mathrm{s}^{2}$

Thus,

          $\text { m of object } A=\frac{750}{9.8}=76.5 \mathrm{kg}$

Similarly for object B,

          $\text { Weight of object } B=m \text { of object } B \times \text { Acceleration due to gravity of Jupiter }$

          $750 = m \text { of object } B \times 24.79 \mathrm{m} / \mathrm{s}^{2}$

Thus,

          $\text { m of the object } B=\frac{750}{24.79}=30.25 \mathrm{kg}$

Thus, the mass of object A is greater than the mass of object B.