Work and Kinetic Energy I need help finding the angle using the data and the vector components : A → 0.20 kg to 200g (40 degrees) B → 0.275 kg to 275 g (155 degrees) Determine the net force of the two known masses (magnitude - m/a (gravitational acceleration) and direction) by using vector components. Write each force vector in unit-vector notation, add the forces together, and then calculate the net force. Show all work in an organized manner. The angle should be measured from the positive x-axis, as usual. by + ay= cy : cy = 2.4 Wa = 1.50 i + 1.26 j bx + ax= cx : cx = -0.94 Wb = -2.44 i + 1.14 j Wa + Wb = Wc Wc = -0.94 i + 2.40 j |a| = (1.50)2+(1.26)2 = 1.96 |b| = (-2.44)2+(1.14)2 = 2.69 |b| = (-0.94)2+(2.40)2 = 2.58 tan-1(jy/xi) tan-1(2.40/-0.94) = net force A = 0.20 kg X 9.8 m/s^2 net force A = 1.96 N net Force B = 0.275 kg X 9.8 m/s^2 net Force B = 2.695 N net Force B = 0.263 kg X 9.8 m/s^2 net Force C = 2.577 N = 2.58N Net Force C = 2.58 N

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Chapter1: Units, Trigonometry. And Vectors
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University Physics 1 - Work and Kinetic Energy
I need help finding the angle using the data and the vector components :

A → 0.20 kg to 200g  (40 degrees)

B → 0.275 kg to 275 g    (155 degrees)

Determine the net force of the two known masses (magnitude - m/a (gravitational acceleration) and direction) by using vector components. Write each force vector in unit-vector notation, add the forces together, and then calculate the net force. Show all work in an organized manner. The angle should be measured from the positive x-axis, as usual.   

 

by + ay= cy :      cy = 2.4                               Wa = 1.50  i + 1.26 j       

bx + ax= cx :      cx = -0.94                            Wb = -2.44 i + 1.14 j

 

Wa + Wb = Wc                                                  Wc = -0.94 i + 2.40 j

 

|a| = (1.50)2+(1.26)2 = 1.96                        |b| = (-2.44)2+(1.14)2 = 2.69

 

|b| = (-0.94)2+(2.40)2 = 2.58

 

tan-1(jy/xi)

tan-1(2.40/-0.94) = 

      net force A = 0.20 kg X 9.8 m/s^2

net force A = 1.96 N

 

net Force B = 0.275 kg X 9.8 m/s^2

net Force B = 2.695 N

net Force B = 0.263 kg X 9.8 m/s^2

net Force C = 2.577 N = 2.58N
Net Force C =  2.58 N  

 

Angle = ? 

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