# What is the net force on the -1nC charge in this Coulomb's Law problem?

• Lilian Chan
In summary, using Coulomb's Law and trigonometric equations, the magnitude of the force between two known charges is calculated to be 1.44x10^-4 N. However, this does not account for the net force on a specific charge, which may result in a different value.
Lilian Chan

## Homework Statement

link: https://ibb.co/Xy9s6DR
What is the magnitude of this force?

Coulomb's Law
Trig equations

## The Attempt at a Solution

(.05 m)xcos(60)=0.025m (the distance between the two known charges)
F(between the two known charges)=(9x20^9)(1x10^-9)(10x10^-9)/(0.025)^2=1.44x10^-4
F(that points down)=sin(60)*1.44x10^-4=1.25x10^-4N

The homework system says I got it wrong but I'm not seeing where.

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Lilian Chan said:
(9x20^9)
9x10^9
Lilian Chan said:
F(between the two known charges)
That's only the force between those two charges. The F in the diagram is the net force on the -1nC charge from the other two.

## 1. What are charges in science?

In science, charges refer to the fundamental property of matter that causes it to experience a force when placed in an electromagnetic field. There are two types of charges: positive and negative.

## 2. How do charges interact with each other?

Charges interact with each other through the electromagnetic force. Like charges repel each other, while opposite charges attract each other.

## 3. What is the unit of charge?

The unit of charge in the International System of Units (SI) is the coulomb (C). One coulomb is equal to the charge of 6.24 x 10^18 electrons.

## 4. How are charges measured?

Charges can be measured using an instrument called an electrometer, which measures the force between two charges. The amount of force is directly proportional to the magnitude of the charges.

## 5. What is a trigonometric function?

Trigonometric functions are mathematical functions that relate the angles of a triangle to the lengths of its sides. Some common trigonometric functions include sine, cosine, and tangent.

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