An object has a weight of 5.10 Newtons (N) at sea level, where the acceleration due to gravity is 9.81 m/s2. What is the acceleration due to gravity on the object of it is placed in a space ship 1,000 km above sea level, where gravity exerts a force of 3.81 N on the object. F(newtons)=m(kg) x a(m/s2) Please show work.

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Well, you could get the mass as [latex]m=\frac{G_0}{g_0}[/latex] ad then [latex]g_1=\frac{G_1}{m}[/latex], where [latex]G_0[/latex] is the sea level weight, [latex]g_0[/latex] the sea level accel., [latex]g_1[/latex] the accel. above while [latex]G_1[/latex] the weight above.

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