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Chapter 13: Q3P (page 379)

What must the separation be between a 5.2 kgparticle and a 2.4 kgparticle for their gravitational attraction to have a magnitude of2.3脳10-12N?

Short Answer

Expert verified

The separation between the two particles must be 19 m

Step by step solution

01

The given data

Mass of the first particle,m1=5.2kg

Mass of the second particle,m2=2.4kg;

The gravitational force of attraction between the particles,F=2.3脳10-12N

02

Understanding the concept of Newton’s law of gravitation

According to Newton鈥檚 law of gravitation, the force between two particles is directly proportional to the masses of two particles and inversely proportional to the square of the distance between them.

Formula:

Gravitational force of attraction, F=GMmr2 (i)

03

Calculating the distance between the two particles

Using equation (i), force between two particles is given by:

F=Gm1m2r2

2.3脳10-12N=6.67脳10-12N.m2/kg2脳5.2kg脳2.4kgr2

Now solving for the distance or separation between the particales,:

r2=6.67脳10-11脳5.2脳2.42.3脳10-12r=19m

Hence, the separation between the particles is 19 m .

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