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Name: Two forces A and B applied together on object C. Force A has an magni
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Description: Two forces A and B applied together on object C. Force A has an magnitude of 36.3 and making an angle of 19.6 degrees with respect to positive x axis. Force B has an magnitude of 27.7 and making an angle of 22.4 with respect to negative y axis. Wha

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter6: Energy Of A System

Section6.8: Relationship Between Conservative Forces And Potential Energy

Problem 6.8QQ: What does the slope of a graph of U(x) versus x represent? (a) the magnitude of the force on the...

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Two forces A and B applied together on object C. Force A has an magnitude of 36.3 and making an angle of 19.6 degrees with respect to positive x axis. Force B has an magnitude of 27.7 and making an angle of 22.4 with respect to negative y axis. What is the magnitude of the net force of A and B on object C?

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Step 1

The vector notation of force

${\vec{F}}_{1} = F_{1} (\cos θ \hat{x} + \sin θ \hat{y})$

Here F₁ is the magnitude of the force and $θ$ is the angle made with x-axis

The force vector

${\vec{F}}_{2} = F_{2} (\sin θ \hat{x} - \cos θ \hat{y})$

Here F₂ is the magnitude of the force and $θ$ is the angle made with -y-axis

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