ACTIVITY 5 COMPONENT METHOD WITH DIRECTIONS Instruction: Calculate the X and Y components of the given vectors then find the resultant vector, angle and ditection. which sketch and add the labelsUse the component method. Sketch also the given vectors using proper scaling.1. v1= 110 km/hr 55 degree NE v2= 90 km/hr 30 degree NW V3= 70 km/hr 23 degree SE Scaling: 10 km/hr = 1 cm2. F1= 700 N 40 degree SW F2= 800 N 74 degree SE F3=1200 N 82 degree NE Scaling: 100 N = 1 cm
Answer (1)
1. Velocity VectorsGiven:v₁ = 110 km/hr at 55° NE v₂ = 90 km/hr at 30° NW v₃ = 70 km/hr at 23° SE Scaling: 10 km/hr = 1 cmStep-by-step:Convert each vector into X and Y components using trigonometry.Add all X components together, then all Y components.Use the Pythagorean theorem to find the resultant magnitude.Use arctangent to find the angle.Determine the direction based on the signs of X and Y.Result:Resultant Velocity: 118.62 km/hr Angle: 65.29° Direction: NE Sketch: Each vector was drawn using the correct scale, and the resultant vector is shown in red.2. Force VectorsGiven:F₁ = 700 N at 40° SW F₂ = 800 N at 74° SE F₃ = 1200 N at 82° NE Scaling: 100 N = 1 cmStep-by-step:Same method: break each force into X and Y components.Add all components.Solve for magnitude and angle of the resultant.Identify the direction.Result:Resultant Force: 151.84 N Angle: –168.36° Direction: SW Sketch: Vectors are labeled and scaled properly, with the resultant in red[tex].[/tex]
