Find the gravitational force that the earth exerts on a 10.0 k g mass if it is p

Question

Find the gravitational force that the earth exerts on a 10.0 kg mass if it is placed at the following locations. Consult the figure 12.9 in the textbook, and assume a constant density through each of the interior regions (mantle, outer core, inner core), but not the same density in each of these regions. Use the graph to estimate the average density for each region.

(a) at the surface of the earth

(b) at the outer surface of the molten outer core

(c) at the surface of the solid inner core

(d) at the center of the earth.

Explanation / Answer

earth mass = 5.972E24 kg

earth radius = 6371000 m

distance of outer surface of the molten outer core from center =  6371000 - 2890000 = 3481000 m

distance of surface of the solid inner core from center = 1220000

all data are taken from wikipedia..

a)

F = Gm1m2/r^2

=6.67*10^-11*5.972E24*10/6371000^2

=98.1364 N

hey u can check this as F=mg

b)

F = Gm1m2d/r^3

=6.67*10^-11*5.972E24*10*3481000/6371000^3

= 53.62 N

c)

F = Gm1m2d/r^3

=6.67*10^-11*5.972E24*10*1220000/6371000^3

=18.792 N

d)

at the centre it's zero....

as we go down.... gravity diminishes and become zero at centre

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.