60 N and 30 N give resultant vector of what magnitude
Answers
Answered by
3
magnitude=116 N direction=45o north of east
Answered by
2
Explanation:
We're asked to find the magnitude and direction of the resultant force (which we'll call
→
R
) given two component forces.
To do this, we can first find the components of the two constituent forces, using the equations
F
x
=
F
cos
θ
−−−−−−−−−−−
F
y
=
F
sin
θ
−−−−−−−−−−−
where
F
x
is the
x
-component of the force
F
y
is the
y
-component of the force
F
is the magnitude of the force
θ
is the direction of the force (relative to the positive
x
-axis)
For the first force
→
F
1
, we have
F
1
=
60
N
θ
1
=
90
o
−
30
o
=
60
o
−−−
The given angle was
30
o
east of north, and angles are typically measured from the positive
x
-axis toward the positive
y
-axis; i.e. from east to north.
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