   Chapter 7, Problem 40P

Chapter
Section
Textbook Problem

Two objects attract each other with a gravitational force of magnitude 1.00 × 10−8 N when separated by 20.0 cm. If the total mass of the objects is 5.00 kg, what is the mass of each?

To determine
The mass of the two objects attracting each other.

Explanation

Given Info:

The magnitude of the gravitational force is 1.0×108N .

The separation between the objects is 20.0cm .

The combined mass of the two objects is 5.0kg .

Explanation:

Consider the mass of the two objects are m1 and m2 .

So,

m1+m2=5.0kg

Therefore,

m2=5.0kgm1

Formula to calculate the gravitational force is,

F=Gm1m2r2

• G is the gravitational constant
• r is the distance between the objects

Substitute 6.67×1011Nm2kg2 for G , 5.0kgm1 for m2 and 20.0cm for r to find the gravitational force,

(6.67×1011Nm2kg2)m1(5

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