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Chapter 3: Q11P (page 123)

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

Short Answer

Expert verified

The magnitude of the force is F=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).

role="math" F=Gm1×m2d'2F=6.67×10-11M×3m(4d)2F=1.25×10-11×mMd2N

Thus, the value of force is F=1.25×10-11×mMd2N

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