Chapter 4. Newton's second law in component form (4-4)

Question

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{"title":"Sum of the x components of all external forces acting on the object","description":"Correct!","type":"correct","color":"#99CCFF","code":"[{\"shape\":\"rect\",\"coords\":\"70,12,109,58\"},{\"shape\":\"poly\",\"coords\":\"82,133\"}]"} {"title":"x component of the object's acceleration","description":"Wrong","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"264,32,291,55\"}]"} {"title":"Mass of the object","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"poly\",\"coords\":\"113,132\"},{\"shape\":\"rect\",\"coords\":\"234,28,260,55\"},{\"shape\":\"rect\",\"coords\":\"232,107,263,130\"}]"} {"title":"y component of the object's acceleration","description":"Wrong","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"264,105,286,131\"}]"} {"title":"Sum of the y components of all the external forces acting on the object","description":"Incorrect","type":"incorrect","color":"#333333","code":"[{\"shape\":\"rect\",\"coords\":\"67,86,115,135\"}]"}

Question

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{"title":"Sum of the x components of all external forces acting on the object","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"rect\",\"coords\":\"70,12,109,58\"},{\"shape\":\"poly\",\"coords\":\"82,133\"}]"} {"title":"x component of the object's acceleration","description":"Correct!","type":"correct","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"264,32,291,55\"}]"} {"title":"Mass of the object","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"poly\",\"coords\":\"113,132\"},{\"shape\":\"rect\",\"coords\":\"234,28,260,55\"},{\"shape\":\"rect\",\"coords\":\"232,107,263,130\"}]"} {"title":"y component of the object's acceleration","description":"Wrong","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"264,105,286,131\"}]"} {"title":"Sum of the y components of all the external forces acting on the object","description":"Incorrect","type":"incorrect","color":"#333333","code":"[{\"shape\":\"rect\",\"coords\":\"67,86,115,135\"}]"}

Question

Btgotq5ANHx8Ew2TXWow2anVxsJBjJbH
{"title":"Sum of the x components of all external forces acting on the object","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"rect\",\"coords\":\"70,12,109,58\"},{\"shape\":\"poly\",\"coords\":\"82,133\"}]"} {"title":"x component of the object's acceleration","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"264,32,291,55\"}]"} {"title":"Mass of the object","description":"Correct!","type":"correct","color":"#333300","code":"[{\"shape\":\"poly\",\"coords\":\"113,132\"},{\"shape\":\"rect\",\"coords\":\"234,28,260,55\"},{\"shape\":\"rect\",\"coords\":\"232,107,263,130\"}]"} {"title":"y component of the object's acceleration","description":"Wrong","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"264,105,286,131\"}]"} {"title":"Sum of the y components of all the external forces acting on the object","description":"Incorrect","type":"incorrect","color":"#333333","code":"[{\"shape\":\"rect\",\"coords\":\"67,86,115,135\"}]"}

Question

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{"title":"Sum of the x components of all external forces acting on the object","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"rect\",\"coords\":\"70,12,109,58\"},{\"shape\":\"poly\",\"coords\":\"82,133\"}]"} {"title":"x component of the object's acceleration","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"264,32,291,55\"}]"} {"title":"Mass of the object","description":"Wrong","type":"incorrect","color":"#333300","code":"[{\"shape\":\"poly\",\"coords\":\"113,132\"},{\"shape\":\"rect\",\"coords\":\"234,28,260,55\"},{\"shape\":\"rect\",\"coords\":\"232,107,263,130\"}]"} {"title":"y component of the object's acceleration","description":"Correct!","type":"correct","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"264,105,286,131\"}]"} {"title":"Sum of the y components of all the external forces acting on the object","description":"Incorrect","type":"incorrect","color":"#333333","code":"[{\"shape\":\"rect\",\"coords\":\"67,86,115,135\"}]"}

Question

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{"title":"Sum of the x components of all external forces acting on the object","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"rect\",\"coords\":\"70,12,109,58\"},{\"shape\":\"poly\",\"coords\":\"82,133\"}]"} {"title":"x component of the object's acceleration","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"264,32,291,55\"}]"} {"title":"Mass of the object","description":"Wrong","type":"incorrect","color":"#333300","code":"[{\"shape\":\"poly\",\"coords\":\"113,132\"},{\"shape\":\"rect\",\"coords\":\"234,28,260,55\"},{\"shape\":\"rect\",\"coords\":\"232,107,263,130\"}]"} {"title":"y component of the object's acceleration","description":"Wrong","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"264,105,286,131\"}]"} {"title":"Sum of the y components of all the external forces acting on the object","description":"Correct!","type":"correct","color":"#333333","code":"[{\"shape\":\"rect\",\"coords\":\"67,86,115,135\"}]"}

Review

The sum \(\Sigma{\vec{F}_\mathrm{ext}}\) in Newton's second law involves vector addition. We saw in Chapter 3 that it's usually easiest to add vectors if we use components, so we'll often use Equation 4-2 in component form: