Vector V vector_1 is 6.0 units long and points along the negative x axis. Vector
ID: 1627430 • Letter: V
Question
Vector V vector_1 is 6.0 units long and points along the negative x axis. Vector V vector_2 is 8.3 units long and points at 60 degree to the positive x axis. What are the x and y components of vector V vector_1? Express your answers using two significant figures. Enter your answers numerically separated by a V_1x, V_1y = units What are the x and y components of vector V vector_2? Express your answers using two significant figures. Enter your answers numerically separated by a V_2x, V_2y = units Determine the magnitude of the sum V vector_1 + V vector_2. Express your answer using two significant figures. |V vector_1 + V vector_2| = units Determine the angle of the sum V vector_1 + V vector_2. Express your answer using two significant figures. theta = degree counterclockwise from the positive x-axisExplanation / Answer
A)
AS the vector V1 is in negative X axis direction
its X component euals 6.0
and Y component = 0
B)
For vector V2
X component euals = 8.3 cos(60)
=4.15 units
Y component euals = 8.3 sin(60)
=7.18 units
C)
resultant of vector V1+V2 =[(6)^2 +(8.3)^2+2x6x8.3xcos(120)]^1/2
= 36+68.89-49.8
=55.09 units
D)
Tan = [8.3sin(120)]/[6+8.3cos(120)]
=7.188/1.85
= 75.56 from postive x axis
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