A 60 kg person stands on the Earth’s surface. (a) What is the approximate magnitude of the gravitational force on the person by the Earth? (b) What is the magnitude of the gravitational force on the Earth by the person?

Short Answer

Expert verified

(a) The approximate magnitude of the gravitational force on the person by the earth is588N

(b) The magnitude of the gravitational force on the earth by the person is588N .

Step by step solution

01

Identification of given data

The given data can be listed below,

The mass of the earth,ME=5.97×1024kg,

The mass of the person,m=60kg

The gravitational constant,G=6.673×10-11Nm2/kg2

The distance between the person and the earth is the radius of the earth,

r=6.37×106m

02

Concept/Significance of the gravitational force

An attractive force that creates attraction between objects is called gravitational force. It always tries to pull masses together; it never pushes them apart.

03

Determination of the magnitude of the gravitational force on the person by the earth.

(a)

The gravitational force on the person is given by,

Fearth on man=GMEmr2

Here, MEis the mass of the earth whose value is 5.97×1024kg , G is the constant of gravitation whose value is 6.673×10-11Nm2/kg2,m is the mass of the person, r is the distance between the earth and the person.

Substitute values in the above,

localid="1658071986924" Fearh on man=6.67×10-11Nm2/kg25.97×1024kg(60kg)6.37×106m2=588N

Thus, the approximate magnitude of the gravitational force on the person by the earth is 588N

04

Determination of the magnitude of the gravitational force on the earth by the person

(b)

The magnitude of gravitational force on the earth by the person is given by,

Fman on earh=GMEmr2

Here, MEis the mass of the earth whose value is localid="1658072256414" 5.97×1024kg, G is the constant of gravitation whose value is 6.673×10-11Nm2/kg2 ,m is the mass of the person, r is the distance between the earth and the person.

Substitute all the values in the above,

localid="1658072379993" Fman on earth=6.67×10-11Nm2/kg25.97×1024kg(60kg)6.37×106m2=588N

Thus, the magnitude of the gravitational force on the earth by the person is 588N.

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