1) 9.57 N
We have two forces applied on the apple:
- The force of gravity, in the downward direction:
W = 9.42 N
- The force exerted by the wind, in the horizontal direction (to the right):
Fw = 1.68 N
The two forces are perpendicular to each other, so we can find the magnitude of the net force by using Pythagorean's theorem.
Therefore, we have:
2) 
The direction of the net external force, measured from the downward vertical, can be measured using the following formula:
where
is the force in the horizontal direction
is the force in the vertical direction
In this problem,
and so we find:
Answer:
If you're taking the power of a number with an uncertainty, you multiply the relative uncertainty by the number in the power.
Explanation:
It was be at least 67 cm/yr for the North Atlantic
These resistors are in series.
Think of it of where the electrons can travel in the system. If there are multiple options for where they can travel then it is parallel, if there are no split paths (only one option) then it is series.
An example of a combination of resistors in parallel: The image you have above, but replace R2 with a wire that continues to the right to a battery. Then resistors R1 and R3 are in parallel.
Answer:
L = 16 [in]
Explanation:
In order to find the arch we must first find the angle that forms the circular sector, using the following formula:
![A = \frac{\alpha*r^{2} }{2} \\where:\\A= area = 64[in^{2}]\\r = radius = 8[in]\\\\\alpha = angle[rad]therefore\\\alpha =\frac{2*A}{r^{2} } \\\alpha =\frac{2*64}{8^{2} } \\\alpha =2[rad]](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B%5Calpha%2Ar%5E%7B2%7D%20%7D%7B2%7D%20%5C%5Cwhere%3A%5C%5CA%3D%20area%20%3D%2064%5Bin%5E%7B2%7D%5D%5C%5Cr%20%3D%20radius%20%3D%208%5Bin%5D%5C%5C%5C%5C%5Calpha%20%3D%20angle%5Brad%5Dtherefore%5C%5C%5Calpha%20%3D%5Cfrac%7B2%2AA%7D%7Br%5E%7B2%7D%20%7D%20%5C%5C%5Calpha%20%3D%5Cfrac%7B2%2A64%7D%7B8%5E%7B2%7D%20%7D%20%5C%5C%5Calpha%20%3D2%5Brad%5D)
Now using the following equation we can calculate the arc length
![L=\alpha *r\\L=2*8\\L=16[in]](https://tex.z-dn.net/?f=L%3D%5Calpha%20%2Ar%5C%5CL%3D2%2A8%5C%5CL%3D16%5Bin%5D)
