The object on Earth has greater mass
Explanation:
The weight of an object is given by
[tex]W=mg[/tex]
where
W is the weight
m is the mass of the object
g is the strength of the gravitational field at the location of the object
The strength of the gravitational field on Jupiter ([tex]g_J[/tex]) is much larger than that on Earth ([tex]g_E[/tex]), so we can write
[tex]g_J > g_E[/tex]
The weight of the first object on Jupiter is
[tex]W_J = m_1 g_J = 50 N[/tex] (1)
where [tex]m_1[/tex] is the mass of the first object, while the weight of the second object on Earth is
[tex]W_E = m_2 g_E = 50 N[/tex] (1)
while [tex]m_2[/tex] is the mass of the second object.
By dividing eq.(1) by (2), we get
[tex]\frac{m_1 g_J}{m_2 g_E}=1\\\frac{m_1}{m_2}=\frac{g_E}{g_J}[/tex]
And since [tex]g_J > g_E[/tex], this means that [tex]m_2 > m_1[/tex], so the object on Earth has greater mass.
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