Answer:
245.45km in a direction 21.45° west of north from city A
Explanation:
Let's place the origin of a coordinate system at city A.
The final position of the airplane is given by:
rf = ra + rb + rc where ra, rb and rc are the vectors of the relative displacements the airplane has made. If we separate this equation into its x and y coordinates:
rfX = raX+ rbX + rcX = 175*cos(30)-150*sin(20)-190 = -89.75km
rfY = raY + rbY + rcT = 175*sin(30)+150*cos(20) = 228.45km
The module of this position is:
![rf = \sqrt{rfX^2+rfY^2} = 245.45km](https://tex.z-dn.net/?f=rf%20%3D%20%5Csqrt%7BrfX%5E2%2BrfY%5E2%7D%20%3D%20245.45km)
And the angle measure from the y-axis is:
![\alpha =atan(rfX/rfY) = 21.45\°](https://tex.z-dn.net/?f=%5Calpha%20%3Datan%28rfX%2FrfY%29%20%3D%2021.45%5C%C2%B0)
So the answer is 245.45km in a direction 21.45° west of north from city A
The potential difference across a and b is 15 v. determine the electrical charge on the 3 μf capacitor will be 45 *
C
Capacitance, property of an electric conductor, or set of conductors, that is measured by the amount of separated electric charge that can be stored on it per unit change in electrical potential. Capacitance also implies an associated storage of electrical energy.
Charge (Q) stored in a capacitor is the product of its capacitance (C) and the voltage (V) applied to it. The capacitance of a capacitor should always be a constant, known value. So we can adjust voltage to increase or decrease the cap's charge. More voltage means more charge, less voltage... less charge.
charge = capacitance * voltage
Q = CV
= 3 *
* 15 v
= 45 *
C
To learn more about capacitance here
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Answer:
F =
.
Explanation:
Gravitational force between two objects of masses
kept at a distance r is given by the formula
F = ![\frac{-Gm_{1}m_{2} }{r^{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B-Gm_%7B1%7Dm_%7B2%7D%20%7D%7Br%5E%7B2%7D%20%7D)
Here ,
= 2m
= ![\frac{m}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bm%7D%7B2%7D)
Thus , F = ![\frac{-G.2m.\frac{m}{2} }{r^{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B-G.2m.%5Cfrac%7Bm%7D%7B2%7D%20%7D%7Br%5E%7B2%7D%20%7D)
F =
.
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