Answer:
Point R is at 14.28 miles.
Explanation:
According to the attached image:
Q = 90 - 37.6 = 52.4°
Using the tangent property:
tanθ = s/11
s = 11 * tanθ = 11 * tan52.4 = 14.28 miles
The wind is blowing in the direction of a vector pointing at an angle 30 degrees to the east of due north, at 35 miles/hour. An
airplane that can go 320 miles/hour in still air points itself due north at the start of a race. The other airplane points itself with the wind directly at its back. It can go 305 miles/hour. How long will it take each plane to cover 1 degree of latitude?
1 answer:
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Answer:
W = 2.74 J
Explanation:
The work done by the charge on the origin to the moving charge is equal to the difference in the potential energy of the charges.
This is the electrostatic equivalent of the work-energy theorem.
where the potential energy is defined as follows
Let's first calculate the distance 'r' for both positions.
Now, we can calculate the potential energies for both positions.
Finally, the total work done on the moving particle can be calculated.
Answer:
8.80 Hz
Explanation:
The frequency of a loaded spring is given by
where k and m are the spring constant and the mass of the load respectively. The values of these do not change because they are internal properties of the components of the system.
Hence, the frequency of the vertical spring mass does not change and is 8.80 Hz.
On the other hand, the frequency of the simple pendulum is affected because it is given by
where g and l are acceleration due to gravity and length of the pendulum, respectively. It is thus seen that it depends on g, which changes with location. In fact, the new frequency is given by