Answer:
Gwen’s assumption of asteroid hit as long term change is incorrect. Asteroid hit is not a long term change, instead, it is a short term change.
Explanation:
Examples of short term changes are drought, flood, volcanic eruption, etc. A short term change occurs quickly and can immediately affect organisms but it doesn’t become a reason for species extinction. The effects of a short term change don’t prevail over a long span of time.
Examples of long term changes are ice age, global warming, deforestation, etc. Unlike a short term change, it takes time but the consequences are far-reaching. It can lead to species extinction.
In this question, asteroid hit is a quick and unexpected hazard, unlike the slow long term environmental changes.
A) the forces are acting in the same direction.. B) Together, forces are acting in opposite directions
Answer:
A) 80 N
B) 20 N
Explanation:
A) If the forces acting are in the same direction, then the net force will be a sum of both so many faces..
Thus;
ΣF = 50 + 30
ΣF = 80 N
B) If the forces are acting in the in opposite directions with the larger force pointing in the positive y-axis then, the net force is;
ΣF = 50 - 30
ΣF = 20 N
Answer:
1)50000J
2) At the start of the trip
3) At the end of the trip
4) The higher the height above the ground, the higher the potential energy
5) As speed increases, Kinetic Energy increase
Answer:
(A) 2652.49 ohm (b) 91937.45311 Hz (c) (i) 12.022 A (II) 2.324 A
Explanation:
We have given resistance R = 10 ohm
Capacitance C = 1 nF
Inductance of the coil L = 3 mH
(A) Inductive reactance ![X_L=\omega L=377\times 3\times 10^{-3}=1.131ohm](https://tex.z-dn.net/?f=X_L%3D%5Comega%20L%3D377%5Ctimes%203%5Ctimes%2010%5E%7B-3%7D%3D1.131ohm)
Capacitive reactance ![X_C=\frac{1}{\omega C}=\frac{1}{377\times 10^{-9}}=2.6525\times 10^6ohm](https://tex.z-dn.net/?f=X_C%3D%5Cfrac%7B1%7D%7B%5Comega%20C%7D%3D%5Cfrac%7B1%7D%7B377%5Ctimes%2010%5E%7B-9%7D%7D%3D2.6525%5Ctimes%2010%5E6ohm)
Impedance ![Z=\sqrt{R^2+(X_C-X_L)^2}=\sqrt{10^2+(2652500-1.131)^2}=2652.49ohm](https://tex.z-dn.net/?f=Z%3D%5Csqrt%7BR%5E2%2B%28X_C-X_L%29%5E2%7D%3D%5Csqrt%7B10%5E2%2B%282652500-1.131%29%5E2%7D%3D2652.49ohm)
(b) We know that resonance frequency ![f=\frac{1}{2\pi \sqrt{LC}}=\frac{1}{2\pi \sqrt{3\times 10^{-3}\times 10^{-9}}}=91937.45311Hz](https://tex.z-dn.net/?f=f%3D%5Cfrac%7B1%7D%7B2%5Cpi%20%5Csqrt%7BLC%7D%7D%3D%5Cfrac%7B1%7D%7B2%5Cpi%20%5Csqrt%7B3%5Ctimes%2010%5E%7B-3%7D%5Ctimes%2010%5E%7B-9%7D%7D%7D%3D91937.45311Hz)
(c) (i) At resonance condition
so only effective resistance is R
So maximum current ![i=\frac{V}{R}=\frac{\frac{170}{\sqrt{2}}}{10}=12.022A](https://tex.z-dn.net/?f=i%3D%5Cfrac%7BV%7D%7BR%7D%3D%5Cfrac%7B%5Cfrac%7B170%7D%7B%5Csqrt%7B2%7D%7D%7D%7B10%7D%3D12.022A)
(ii) Current across the coil ![i=\frac{voltage\ across\ the\ coil}{impedence\ of\ the\ coil}=\frac{\frac{3}{\sqrt{2}}}{1.131}=2.324A](https://tex.z-dn.net/?f=i%3D%5Cfrac%7Bvoltage%5C%20across%5C%20the%5C%20coil%7D%7Bimpedence%5C%20of%5C%20the%5C%20coil%7D%3D%5Cfrac%7B%5Cfrac%7B3%7D%7B%5Csqrt%7B2%7D%7D%7D%7B1.131%7D%3D2.324A)