Transforming Force Equations with Substitution

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In summary, force can be expressed in different forms, including vector and scalar quantities, as well as through mathematical equations such as Newton's second law of motion and Hooke's law. Expressing force in different forms allows for a better understanding and analysis of its effects on objects and enables the use of different equations and principles to solve related problems.
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chetzread
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Homework Statement


in this question , solving equation 1 and 2 , how to get the
F1 = (A1E1 P ) / ( 2A1E1 + A2E2) ? and also F2 ?

Homework Equations

The Attempt at a Solution


we know that F2 = P -2F1 )
I have tried to sub (F2 / A2E2 ) in F1 = (A1E1 P ) / ( 2A1E1 + A2E2) , but i ended up getting (A1E1P - 3 F1A1E1 ) / A2E2 , which is not same as the author , did i miss out any equation ? [/B]
 

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  • #2
Hi Chetz,

It's a lot easier: substitute [2] in [1] and there you are !
 

1. How do you express force in another form?

Force can be expressed in different forms, such as vector, scalar, or as a mathematical equation. To express force in another form, you can use equations like Newton's second law of motion (F=ma) or Hooke's law (F=kx) to calculate the force in different forms.

2. Can force be expressed as a vector quantity?

Yes, force is a vector quantity that has both magnitude (size) and direction. This means that it can be expressed in terms of its components, such as the x, y, and z directions, or as a resultant force using vector addition.

3. What is the difference between expressing force as a vector and a scalar?

A vector quantity, such as force, has both magnitude and direction, while a scalar quantity only has magnitude. This means that when force is expressed as a vector, it includes information about the direction of the force, whereas as a scalar it only represents the size of the force.

4. How is force expressed mathematically?

Force can be expressed mathematically using Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a), or F=ma. It can also be expressed using other equations, such as Hooke's law for elastic forces.

5. Why is it important to express force in different forms?

Expressing force in different forms allows us to better understand and analyze its effects on objects. For example, expressing force as a vector helps us determine the direction and magnitude of forces acting on an object, while expressing it as a scalar helps us determine the amount of work done by the force. It also allows us to use different equations and principles to solve problems related to force.

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