Answer:
A fuse and circuit breaker both serve to protect an overloaded electrical circuit by interrupting the continuity, or the flow of electricity. ... Fuses tend to be quicker to interrupt the flow of power, but must be replaced after they melt, while circuit breakers can usually simply be reset.
Answer:
3.49 seconds
3.75 seconds
-43200 ft/s²
Explanation:
t = Time taken
u = Initial velocity
v = Final velocity
s = Displacement
a = Acceleration
![s=ut+\frac{1}{2}at^2\\\Rightarrow 50=0t+\frac{1}{2}\times 9.81\times t^2\\\Rightarrow t=\sqrt{\frac{50\times 2}{9.81}}\\\Rightarrow t=3.19\ s](https://tex.z-dn.net/?f=s%3Dut%2B%5Cfrac%7B1%7D%7B2%7Dat%5E2%5C%5C%5CRightarrow%2050%3D0t%2B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%209.81%5Ctimes%20t%5E2%5C%5C%5CRightarrow%20t%3D%5Csqrt%7B%5Cfrac%7B50%5Ctimes%202%7D%7B9.81%7D%7D%5C%5C%5CRightarrow%20t%3D3.19%5C%20s)
Time the parachutist falls without friction is 3.19 seconds
![v^2-u^2=2as\\\Rightarrow v=\sqrt{2as+u^2}\\\Rightarrow v=\sqrt{2\times 9.81\times 50+0^2}\\\Rightarrow v=31.32\ m/s](https://tex.z-dn.net/?f=v%5E2-u%5E2%3D2as%5C%5C%5CRightarrow%20v%3D%5Csqrt%7B2as%2Bu%5E2%7D%5C%5C%5CRightarrow%20v%3D%5Csqrt%7B2%5Ctimes%209.81%5Ctimes%2050%2B0%5E2%7D%5C%5C%5CRightarrow%20v%3D31.32%5C%20m%2Fs)
Speed of the parachutist when he opens the parachute 31.32 m/s. Now, this will be considered as the initial velocity
![v=u+at\\\Rightarrow 11=31.32+9.81t\\\Rightarrow t=\frac{11-31.32}{-67}=0.3\ s](https://tex.z-dn.net/?f=v%3Du%2Bat%5C%5C%5CRightarrow%2011%3D31.32%2B9.81t%5C%5C%5CRightarrow%20t%3D%5Cfrac%7B11-31.32%7D%7B-67%7D%3D0.3%5C%20s)
So, time the parachutist stayed in the air was 3.19+0.3 = 3.49 seconds
![s=ut+\frac{1}{2}at^2\\\Rightarrow \frac{s}{2}=0t+\frac{1}{2}\times a\times t^2\\\Rightarrow \frac{s}{2}=\frac{1}{2}at^2](https://tex.z-dn.net/?f=s%3Dut%2B%5Cfrac%7B1%7D%7B2%7Dat%5E2%5C%5C%5CRightarrow%20%5Cfrac%7Bs%7D%7B2%7D%3D0t%2B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20a%5Ctimes%20t%5E2%5C%5C%5CRightarrow%20%5Cfrac%7Bs%7D%7B2%7D%3D%5Cfrac%7B1%7D%7B2%7Dat%5E2)
![s=ut+\frac{1}{2}at^2\\\Rightarrow \frac{s}{2}=u1.1+\frac{1}{2}\times a\times 1.1^2](https://tex.z-dn.net/?f=s%3Dut%2B%5Cfrac%7B1%7D%7B2%7Dat%5E2%5C%5C%5CRightarrow%20%5Cfrac%7Bs%7D%7B2%7D%3Du1.1%2B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20a%5Ctimes%201.1%5E2)
Now the initial velocity of the last half height will be the final velocity of the first half height.
![v=u+at\\\Rightarrow v=at](https://tex.z-dn.net/?f=v%3Du%2Bat%5C%5C%5CRightarrow%20v%3Dat)
Since the height are equal
![\frac{1}{2}at^2=u1.1+\frac{1}{2}\times a\times 1.1^2\\\Rightarrow \frac{1}{2}at^2=at1.1+\frac{1}{2}\times a\times 1.1^2\\\Rightarrow 0.5t^2-1.1t-0.605=0\\\Rightarrow 500t^2-1100t-605=0](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dat%5E2%3Du1.1%2B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20a%5Ctimes%201.1%5E2%5C%5C%5CRightarrow%20%5Cfrac%7B1%7D%7B2%7Dat%5E2%3Dat1.1%2B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20a%5Ctimes%201.1%5E2%5C%5C%5CRightarrow%200.5t%5E2-1.1t-0.605%3D0%5C%5C%5CRightarrow%20500t%5E2-1100t-605%3D0)
![t=\frac{11\left(1+\sqrt{2}\right)}{10},\:t=\frac{11\left(1-\sqrt{2}\right)}{10}\\\Rightarrow t=2.65, -0.45](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B11%5Cleft%281%2B%5Csqrt%7B2%7D%5Cright%29%7D%7B10%7D%2C%5C%3At%3D%5Cfrac%7B11%5Cleft%281-%5Csqrt%7B2%7D%5Cright%29%7D%7B10%7D%5C%5C%5CRightarrow%20t%3D2.65%2C%20-0.45)
Time taken to fall the first half is 2.65 seconds
Total time taken to fall is 2.65+1.1 = 3.75 seconds.
When an object is thrown with a velocity upwards then the velocity of the object at the point to where it was thrown becomes equal to the initial velocity.
![v^2-u^2=2as\\\Rightarrow a=\frac{v^2-u^2}{2s}\\\Rightarrow a=\frac{0^2-240^2}{2\times \frac{8}{12}}\\\Rightarrow a=-43200\ ft/s^2](https://tex.z-dn.net/?f=v%5E2-u%5E2%3D2as%5C%5C%5CRightarrow%20a%3D%5Cfrac%7Bv%5E2-u%5E2%7D%7B2s%7D%5C%5C%5CRightarrow%20a%3D%5Cfrac%7B0%5E2-240%5E2%7D%7B2%5Ctimes%20%5Cfrac%7B8%7D%7B12%7D%7D%5C%5C%5CRightarrow%20a%3D-43200%5C%20ft%2Fs%5E2)
Magnitude of acceleration is -43200 ft/s²
Newton's Third Law states that for every action there is an opposite and equal reaction:
If the gravitational force of the Earth on the Moon is F then the gravitational force of the Moon on the Earth is also F
Answer:
c.Law
Explanation:
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