A vector representing 170 N is oriented at 30 degrees with the horizontal. What is the magnitude of the vertical component? Answer in units of N,
First break your vector up into x and y components.
Since its angled at 30 degrees with the horizontal, the x component with have cosine in it and sin for the y component.
x component = 170cos30
y component = 170sin30
where y is your vertical component.
To find the magnitude of the vertical component, we can use trigonometry. The vertical component of the vector is given by the formula:
Vertical Component = Magnitude of the Vector * sin(θ)
where:
Magnitude of the Vector = 170 N (given in the question)
θ = 30 degrees (angle with the horizontal)
So, to find the magnitude of the vertical component, we substitute the values into the formula:
Vertical Component = 170 N * sin(30 degrees)
Now, let's calculate the value:
Vertical Component = 170 N * sin(30 degrees)
Vertical Component = 170 N * 0.5
Multiplying these values gives us:
Vertical Component = 85 N
Therefore, the magnitude of the vertical component is 85 N.