Thursday, October 15, 2020

#388 A 3.00-kg particle moves from the origin

A 3.00-kg particle moves from the origin - Physics

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ChemistryExplain “#388 A 3.00-kg particle moves from the origin" in Physics, Ap physics 1 practice test, Best colleges for physics, Best physics

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A 3.00-kg particle moves from the origin to position circled C, having coordinates x = 5.50 m and y = 5.50 m as shown in the figure. One force on the particle is the gravitational force acting in the negative y direction. Using the equation (W = FΔr cos θ = F with arrow · Δr with arrow), calculate the work done by the gravitational force in going from Oto circled C along the following paths.

ChemistryExplain “#388 A 3.00-kg particle moves from the origin" in Physics, Ap physics 1 practice test, Best colleges for physics, Best physics

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Free Chegg Answer

A) W=F\Delta r\cdot cos\theta

W_{OAC}=W_{OA}+W_{AC}=W(5.5-0)\cdot cos90+W(5.5-0)\cdot cos180

W_{OAC}=-W(5.5)=-5.5mg=-5.5\cdot 3\cdot 9.8=-161,7\, J

C)

W_{OBC}=W_{OB}+W_{BC}=W(5.5-0)\cdot cos180+W(5.5-0)\cdot cos90

W_{OBC}=-W(5.5)=-5.5mg=-5.5\cdot 3\cdot 9.8=-161,7\, J

B)

W_{OC}=W\sqrt{(5.5)^{2}+(5.5)^{2}}\cdot cos(90+45)

W_{OC}=-mg\sqrt{(5.5)^{2}+(5.5)^{2}}\cdot cos(45)

W_{OC}=-3\cdot 9.8\sqrt{(5.5)^{2}+(5.5)^{2}}\cdot cos(45)=-161,7\, J

D) All results are the same because the weight is a conservative force, this means the work is not influenced by the path

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