Answer:
speed of the proton is 6.286 ×
m/s
Explanation:
given data
charge q= −60.0 nC
inner radius a = 20.0 cm
outer radius b = 24.0 cm
charge density ρ = −2.05 µC/m³
to find out
What is the speed of the proton
solution
we know that force on the proton due to this electric field is express as
F = q × E ...................1
here F is force and q is charge and E is electric filed so
if v be the speed of the proton in circular orbit than force will be
F =
....................2
from equation 1 and 2
q × E =
.......................3
so
here total charge Q on shell is
Q = ρ × V
here ρ is density and V is volume
Q =
put here value
Q =
Q = 50.01 ×
C
and
total charge enclosed by Gaussian surface is
qin = q + Q
qin = −60 ×
C - 50.01 ×
C
qin = - 110.01 ×
C
and
from Gauss law
E ×4×π×b² =
E = ![\frac{110.01*10^{-9} }{\epsilon *4 *\pi *b^2[tex]}](https://tex.z-dn.net/?f=%5Cfrac%7B110.01%2A10%5E%7B-9%7D%20%7D%7B%5Cepsilon%20%2A4%20%2A%5Cpi%20%2Ab%5E2%5Btex%5D%7D)
E = 
E = 17189.06 N/C
so
from equation 3
q × E =
v = 
v = 
v = 6.286 ×
m/s
so speed of the proton is 6.286 ×
m/s
Answer:
d) 289.31 m
Explanation:
Energy provided by potential energy = mgh = m x 9.8x 200 sin10.5 = 357.18m
Energy used by friction = μmgcos 10.5 x 200 = .075 x m x 9.8 x cos 10.5 x200 = 144.54 m .
Energy used by friction on plain surface = μmg x d.( dis distance covered on plain ) =.075x m x 9.8 xd = .735 m d
To equate
357.18 m -144.54 m = .735 m d
d = 289.31 m .
It would appear Red because as stated above, the paper reflects all the colors of light that fall on it.
The distance that the canoe moves in this process is 1.29 meters.
We first have to find the center of mass

Where
Ms = Woman's mass = 45
Mc = Canoe's mass = 60kg
Xs = position from left= 1 cm
Xc = position from left end of canoe's mass = 2.5cm
When we put these values into the equation we have:

The center of gravity lies at the center of this boat. Therefore,

5.00 - 1. 00 = 4 meters

To get the distance that is moved by this canoe
distance = 3.143-1.857
= 1.286
≈ 1.29 meters
The distance that the canoe moves in this process is 1.29 meters.
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Answer:
Drag force=1/2Cd*Area*density*V^2
A=240 ft^2
cd=0.75
Drage force=675 lbs