Question

(problem reference m.1) four displacement vectors are shown in the figure. the magnitudes of the displacements are: ( a = 2.25 mathrm{~cm}, b = 6.35 mathrm{~cm}, c = 5.47 mathrm{~cm} ), and ( d = 4.19 mathrm{~cm} ).
what is the ( y )-component of vector ( vec{b} )?
( -2.17 mathrm{~cm} )
( 6.35 mathrm{~cm} )
( 2.17 mathrm{~cm} )
( 5.97 mathrm{~cm} )
( -3.59 mathrm{~cm} )

Explanation:

Step1: Determine the formula for the y - component of a vector

The y - component of a vector \(\vec{B}\) is given by \(B_y=-B\sin\theta\), where \(B\) is the magnitude of the vector and \(\theta\) is the angle with the \(x\) - axis.

Step2: Identify the values of \(B\) and \(\theta\)

Given \(B = 6.35\space cm\) and \(\theta=20.0^{\circ}\)

Step3: Calculate \(B_y\)

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Answer:

-2.17 cm