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Chapter 3: Q 3-11 P (page 123)

Masses M and m attract each other with a gravitational force of magnitude F. Mass m is replaced with a mass 3 cm, and it is moved four times farther away. Now, what is the magnitude of the force?

Short Answer

Expert verified

The magnititude of the force isF=1.25×10-11×mMd2N.

Step by step solution

01

identification of the given data

- Massm=3m

-d'=4d

02

Gravitational Force

Bodies that have mass and are at a certain distance attract each other. This attraction is the gravitational force.

03

Calculation of the force magnitude

By Newton's law, the magnitude of the force is written as:

F=Gm1×m2d2

Here, F- Magnitude of gravitational force,m1- the mass of object 1,m2- the mass of object 2, d- Distance separating two objects, and G- Universal gravitation constant 6.67×10-11N·m2/kg2

F=Gm1×m2d'2

F=6.67×10-11M×3m(4d)2

F=1.25×10-11×mMd2N

Thus, the value of force isF=1.25×10-11×mMd2N.

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