Answer:
<h2>16,600 N</h2>
Explanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
force = 2000 × 8.3
We have the final answer as
<h3>16,600 N</h3>
Hope this helps you
Answer:0.07 rad/s
Explanation:
Given
kite is 100 ft high
and moves horizontally at 7 ft/s
Total string let out =200 ft
String length(l), vertical(y) & Horizontal(x) distance of kite will form a right angle triangle
![L^2=y^2+x^2](https://tex.z-dn.net/?f=L%5E2%3Dy%5E2%2Bx%5E2)
Differentiating both side
![0=2y\frac{\mathrm{d} y}{\mathrm{d} t}+2x\frac{\mathrm{d} x}{\mathrm{d} t}](https://tex.z-dn.net/?f=0%3D2y%5Cfrac%7B%5Cmathrm%7Bd%7D%20y%7D%7B%5Cmathrm%7Bd%7D%20t%7D%2B2x%5Cfrac%7B%5Cmathrm%7Bd%7D%20x%7D%7B%5Cmathrm%7Bd%7D%20t%7D)
![y\frac{\mathrm{d} y}{\mathrm{d} t}=-x\frac{\mathrm{d} x}{\mathrm{d} t}](https://tex.z-dn.net/?f=y%5Cfrac%7B%5Cmathrm%7Bd%7D%20y%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D-x%5Cfrac%7B%5Cmathrm%7Bd%7D%20x%7D%7B%5Cmathrm%7Bd%7D%20t%7D)
![100\times \frac{\mathrm{d} y}{\mathrm{d} t}=-\sqrt{3}\times 100\times \frac{\mathrm{d} x}{\mathrm{d} t}](https://tex.z-dn.net/?f=100%5Ctimes%20%5Cfrac%7B%5Cmathrm%7Bd%7D%20y%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D-%5Csqrt%7B3%7D%5Ctimes%20100%5Ctimes%20%5Cfrac%7B%5Cmathrm%7Bd%7D%20x%7D%7B%5Cmathrm%7Bd%7D%20t%7D%20)
![\frac{\mathrm{d} y}{\mathrm{d} t}=7\sqrt{3}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cmathrm%7Bd%7D%20y%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D7%5Csqrt%7B3%7D)
Now ![Lcos\theta =x](https://tex.z-dn.net/?f=Lcos%5Ctheta%20%3Dx)
Differentiating
![Lsin\theta \times \frac{\mathrm{d} \theta }{\mathrm{d} t}=\frac{\mathrm{d} x}{\mathrm{d} t}](https://tex.z-dn.net/?f=Lsin%5Ctheta%20%5Ctimes%20%5Cfrac%7B%5Cmathrm%7Bd%7D%20%5Ctheta%20%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D%5Cfrac%7B%5Cmathrm%7Bd%7D%20x%7D%7B%5Cmathrm%7Bd%7D%20t%7D)
![200\times \frac{100}{200}\times \frac{\mathrm{d} \theta }{\mathrm{d} t}=7](https://tex.z-dn.net/?f=200%5Ctimes%20%5Cfrac%7B100%7D%7B200%7D%5Ctimes%20%5Cfrac%7B%5Cmathrm%7Bd%7D%20%5Ctheta%20%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D7)
![\frac{\mathrm{d} \theta }{\mathrm{d} t}=0.07 rad/s](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cmathrm%7Bd%7D%20%5Ctheta%20%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D0.07%20rad%2Fs)
Answer:
A current will not be induced.
Explanation:
The wire is not part of a closed circuit.
The electrical charges have no place to flow to.
Answer:
the prospect of resource rents may be an incentive to rebel or secedeor for a simple version an abundance of natural resources can lead to corruption and stagnation, or even economic contraction
Explanation:
C good luck ok good luck with