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Chapter 3: Q24P (page 129)

Calculate the approximate gravitational force exerted by the Earth on a human standing on the Earth's surface. Compare with the approximate gravitational force of a human on another human at a distance of 3 m. What approximations or simplifying assumptions must you make?

Short Answer

Expert verified

The value of approximate gravitational force isF=3.11×1015N

Step by step solution

01

Identification of given data

Distance of human = 3 m

02

Gravitational force

Gravitational force is the attraction of all the masses in the universe.

03

Calculation of the gravitational force

According to the Newton’s low of gravitation

F=Gm1m2r2

Where

G – Gravitational constant 6.67×10-11m3kg.s

role="math" localid="1653973046667" m1- - Mass of 1 object

m2-Mass of 2 objects

role="math" localid="1653973083756" r- Distance between two object = 3m

Let us assume that mass of object one is m1=70kg

And second mass is as mass of earth m2=6×1024kg

So after putting the values we get

F=Gm1m2r2F=6.67×10-11m3kg.s2×70kg×6×1024kg32F=3.11×1015N

Thus the value of gravitational force is F=3.11×1015N

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