In a Lithium nucleus, three protons all sit 2 fm (2x10-15 m) apart. Calculate the gravitational force on exerted on proton #1 by the other two protons (remember that force is a vector). For simplicity, you can assume a coordinate system where the three protons lie on the x-y plane and proton #1 is at the fm, 0 fm) point, proton #2 is at the (2 fm, 0 fm) point. 3

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Chapter1: Units, Trigonometry. And Vectors
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Coulomb’s law tells us that the electrostatic force between two charged objects can be calculated by:
?= ??1?2/?^2
Where k is a constant with a value of 8.99x109 Nm2/C2; ?1 and ?2 are the charges of the two particles
(1.602x10-19 C), and r is the distance between the two particles. The force is attractive if the charges of
the two particles is opposite (one’s positive and one’s negative) and repulsive if the charges have the
same charge (both positive or both negative). Calculate the electrostatic force on proton #1 from the
other two protons.
Will the gravitational force between the protons be attractive or repulsive?

What about the electrostatic force?

Which has the larger magnitude, the electrostatic force or the gravitational force?


Can the electrostatic and gravitational forces alone create a stable Lithium nucleus?

In a Lithium nucleus, three protons all sit 2 fm (2x10-15 m) apart. Calculate the gravitational force on
exerted on proton #1 by the other two protons (remember that force is a vector). For simplicity, you
can assume a coordinate system where the three protons lie on the x-y plane and proton #1 is at the (0
fm, 0 fm) point, proton #2 is at the (2 fm, 0 fm) point.
3
1
Transcribed Image Text:In a Lithium nucleus, three protons all sit 2 fm (2x10-15 m) apart. Calculate the gravitational force on exerted on proton #1 by the other two protons (remember that force is a vector). For simplicity, you can assume a coordinate system where the three protons lie on the x-y plane and proton #1 is at the (0 fm, 0 fm) point, proton #2 is at the (2 fm, 0 fm) point. 3 1
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