A
force
of
25.0
N
acts
at
an
angle
of
25°
to
the
horizontal.
Find
the
horizontal
and
vertical
components
of
the
force.
25 cos25
N
horizontal
and
25 sin25
N
vertical
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To find the horizontal and vertical components of a force, we can use trigonometry. The horizontal component of the force is the projection of the force onto the x-axis, and the vertical component is the projection onto the y-axis.
Given:
Force (F) = 25.0 N
Angle (θ) = 25°
To find the horizontal component (Fx):
Fx = F * cos(θ)
Using this formula, we can calculate the horizontal component of the force:
Fx = 25.0 N * cos(25°) = 22.732 N (rounded to three decimal places)
To find the vertical component (Fy):
Fy = F * sin(θ)
Using this formula, we can calculate the vertical component of the force:
Fy = 25.0 N * sin(25°) = 10.773 N (rounded to three decimal places)
Therefore, the horizontal component of the force is approximately 22.732 N, and the vertical component of the force is approximately 10.773 N.