consider the hypothetical observation irregular galaxies outside the local group are moving toward us. from part a, this observa
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A) The resultant force is 30.4 N at
B) The resultant force is 18.7 N at
Explanation:
A)
In order to find the resultant of the two forces, we must resolve each force along the x- and y- direction, and then add the components along each direction to find the components of the resultant.
The two forces are:
at
above x-axis
at
above y-axis
Resolving each force:
So, the components of the resultant are:
And the magnitude of the resultant is:
And the direction is:
B)
In this case, the 15 N is applied in the opposite direction to the 20 N force. Therefore we need to re-calculate its components, keeping in mind that the angle of the 15 N force this time is
So we have:
So, the components of the resultant this time are:
And the magnitude is:
And the direction is:
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Answer:
Explanation:
The formula for the magnitude of a vector is
and then round to the hundredths place:
3.11 m. Since we are in Q2, we can also find the direction of this vector:
but since we are in Q2, we add 180 degrees to the result, getting the angle to be 115.3