Answer:
Personally I think, that the answer is B.
Explanation:
Answer:
d = 1.13*10^{-4}m = 0.113mm
Explanation:
To find the minimum diameter, that allow to antiproton circulate in the chamber without touching the walls, you use the following formula for the radius of the trajectory of a charged particle in a constant magnetic field.
(1)
r: radius of the trajectory
m: mass of the antiproton = 9.1*10-31 kg
v: velocity of the antiproton = 4.0*10^4 m/s
B: magnitude of the magnetic field = 4.0mT = 4.0*10^-3 T
q: charge of the antiproton = +1.6*10^{-19}C
You replace the values of the parameters in (1):
Then, the diameter of the chamber must be, at least:
d=2r = 2(5.68*10^-5) = 1.13*10^{-4}m = 0.113mm
Answer:
x positive and y negative I think
Explanation:
<span>Suppose the pipe goes underwater directly from the resort to point P, which is x miles away from the point on the shoreline that's closest to the resort.
By Pythagoras, the distance from the resort to P is: sqrt(x^2 + 3^2) = sqrt(x^2 + 9)
Suppose that it costs 1 unit of money per mile to lay pipe on land, so therefore it costs 1.5 units of money to lay pipe underwater. So the cost of the pipe above is: 1.5*sqrt(x^2 + 9)
So the distance from P to the fresh water source is 10 - x, so the cost of laying that pipe is 10 - x.
Total cost of pipe: C = 1.5*sqrt(x^2 + 9) + 10 - x
dC/dx = ((1.5x) / sqrt(x^2 + 9)) - 1
To minimize C, set the derivative to zero:
((1.5x) / sqrt(x^2 + 9)) - 1 = 0
(1.5x) / sqrt(x^2 + 9) = 1
1.5x = sqrt(x^2 + 9)
(1.5x)^2 = x^2 + 9
2.25x^2 = x^2 + 9
2.25x^2 - x^2 = 9
1.25x^2 = 9
x^2 = 9 / 1.25
x = sqrt(9/1.25)
x = 2.683</span>
1. Find the total distance.
2 km + 4 km + 4.5 km = 10.5 km
2. Convert this distance into metres.
1 kilometre = 1000 metres
10.5 x 1000 = 10,500 metres
3. Convert the time taken into seconds.
1 minute = 60 seconds
20 x 60 = 1,200 seconds
4. Divide the total distance by the total time taken.
10,500 / 1,200 = 8.75
Your velocity is 8.75 m/s
