Answer :
The y component of the vector is 37.7 N and the angle between the vectors is 26.2⁰.
Y-component of the vector
The y component of the vector will be determined from the resultant vector and the x component of the vector.
R² = Y² + X²
Y² = R² - X²
Where;
- Y is the y-component of the vector
- X is the x component of the vector
- R is the resultant vector
Y² = 85.2² - 76.4²
Y² = 1,422.08
Y = √1,422.08
Y = 37.7 N
Angle between the vectors
θ = arc tan (Y/X)
θ = arc tan (37.7/76.4)
θ = 26.2⁰
Thus, the y component of the vector is 37.7 N and the angle between the vectors is 26.2⁰.
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