I'm going to assume that the 10.97 km/s is the velocity at the end of the cannon.
vi = 0
d = 220m
vf = 10.97 km/s = 10970 m/s
a = ???
vf^2 = vi^2 + 2*a*d
10970^2 = 0 + 2*a*220
10970^2 / 440 = a You are right this is a pretty big number.
2.73 * 10^5 = a
Answer: B
Explanation: I just took the quiz and got it right
Answer:
W = 2352 J
Explanation:
Given that:
- mass of the bucket, M = 10 kg
- velocity of pulling the bucket, v = 3
![m.min^{-1}](https://tex.z-dn.net/?f=m.min%5E%7B-1%7D)
- height of the platform, h = 30 m
- rate of loss of water-mass, m =
![0.4 kg.min^{-1}](https://tex.z-dn.net/?f=0.4%20kg.min%5E%7B-1%7D)
Here, according to the given situation the bucket moves at the rate,
![v=3 m.min^{-1}](https://tex.z-dn.net/?f=v%3D3%20m.min%5E%7B-1%7D)
The mass varies with the time as,
![M=(10-0.4t) kg](https://tex.z-dn.net/?f=M%3D%2810-0.4t%29%20kg)
Consider the time interval between t and t + ∆t. During this time the bucket moves a distance
∆x = 3∆t meters
So, during this interval change in work done,
∆W = m.g∆x
<u>For work calculation:</u>
![W=\int_{0}^{10} [(10-0.4t).g\times 3] dt](https://tex.z-dn.net/?f=W%3D%5Cint_%7B0%7D%5E%7B10%7D%20%5B%2810-0.4t%29.g%5Ctimes%203%5D%20dt)
![W= 3\times 9.8\times [10t-\frac{0.4t^{2}}{2}]^{10}_{0}](https://tex.z-dn.net/?f=W%3D%203%5Ctimes%209.8%5Ctimes%20%5B10t-%5Cfrac%7B0.4t%5E%7B2%7D%7D%7B2%7D%5D%5E%7B10%7D_%7B0%7D)
![W= 2352 J](https://tex.z-dn.net/?f=W%3D%202352%20J)
The correct answer is - C. Crustal plates, crustal plates.
The movement of the crustal plates of the Earth is the reason why the geologic processes are occurring on our planet. With their movement, the crustal plates manage to create lot of pressure, open up gaps for the magma from the mantle, as well as make adjustments deeper into the ground.
Because of the adjustments deep into the ground, or rather the crust, lot of force is released, manifested as strong and very quick vibrations, better known as earthquakes.
The gaps that are opening between the plates let the magma reach the surface, thus enabling the volcanic activities on the planet.
The pressure from the plates' collision makes the land lift up slowly, and over time a mountain range starts to form because of the continuous lifting up of the area.
Answer : I = 0.0906 A.
Explanation :
It is given that,
No of electrons flowing in a wire, ![q=3.4\times 10^{19}](https://tex.z-dn.net/?f=q%3D3.4%5Ctimes%2010%5E%7B19%7D)
We know that the charge on an electron is given by, ![q_e=1.6\times 10^{-19}\ C](https://tex.z-dn.net/?f=q_e%3D1.6%5Ctimes%2010%5E%7B-19%7D%5C%20C)
So the total charge becomes:
![q=3.4\times 10^{19}\times 1.6\times 10^{-19}\ C](https://tex.z-dn.net/?f=q%3D3.4%5Ctimes%2010%5E%7B19%7D%5Ctimes%201.6%5Ctimes%2010%5E%7B-19%7D%5C%20C)
![q=5.44\ C](https://tex.z-dn.net/?f=q%3D5.44%5C%20C)
We know that the current in wire is defined as, ![I=\dfrac{q}{t}](https://tex.z-dn.net/?f=I%3D%5Cdfrac%7Bq%7D%7Bt%7D)
![I=\dfrac{5.44\ C}{60\ s}](https://tex.z-dn.net/?f=I%3D%5Cdfrac%7B5.44%5C%20C%7D%7B60%5C%20s%7D)
![I=0.0906\ A](https://tex.z-dn.net/?f=I%3D0.0906%5C%20A)
Hence, this is the required solution.