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hammer [34]
3 years ago
10

Usually the force of gravity on electrons is neglected. To see why, we can compare the force of the Earth’s gravity on an electr

on with the force exerted on the electron by an electric field of magnitude of 40000 V/m (a relatively small field). What is the force exerted on the electron by an electric field of magnitude of 40000 V/m? The acceleration of gravity is 9.8 m/s 2 , the mass of an electron is 9.10939 × 10−31 kg, and the elementary charge 1.602 × 10−19 C. Answer in units of N.
Physics
1 answer:
miv72 [106K]3 years ago
6 0

Answer:

6.4\cdot 10^{-15} N

Explanation:

The electric force exerted on the electron is given by:

F=qE

where

q=1.6\cdot 10^{-19}C is the magnitude of the electron charge

E = 40000 V/m is the electric field

Substituting,

F=(1.6\cdot 10^{-19} C)(40000 V/m)=6.4\cdot 10^{-15} N

By comparison, the gravitational force exerted on the electron is:

F=mg

where

m=9.10939\cdot 10^{-31} kg is the mass of the electron

g = 9.8 m/s^2 is the acceleration due to gravity

Substituting,

F=(9.10939\cdot 10^{-31} kg)(9.8 m/s^2)=8.93\cdot 10^{-30}N

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Two transverse waves travel along the same taut string inopposite directions. the waves are described by following equations use
Umnica [9.8K]

Answer: y'=2Asin(kx)cos(wt)

Explanation:

Let y1=A sin (kx + wt) be the first wave

y2=A sin (kx - wt) be the second wave in the opposite direction (which we showed by putting a negative sign between the terms kx and wt)

Please do note that both wave have the same attributes (that's Amplitude, wave number and angular frequency) because they are formed on the same medium by the same source just that their directions are opposite.

By super imposing these 2 waves, we have a resulting singular wave representing both wave (law of superimposition) with a resulting value of vertical displacement y'.

Thus y' = y1 + y2.

Let us do the math.

y'=A sin (kx + wt) + A sin (kx - wt)

By factoring A out, we have that

y' = A [ sin (kx + wt) + sin (kx - wt)]

For simplicity let us use the substitution

Let (kx + wt) = a and (kx - wt) =b

Hence we have that

y' = A [sin a + sin b].

From trigonometric ratio

sin a + sin b = 2sin[(a+b)/2] * cos [(a - b)/2]

By recalling that (kx + wt) = a and (kx - wt) =b

sin a + sin b = 2sin [(kx +wt +kx-wt) /2] * cos [(kx +wt - (kx-wt))/2]

Thus we have that

sin a + sin b = 2sin [(kx+wt+kx-wt)/2] * cos[(kx+wt-kx+wt)/2]

By collecting like terms in the bracket we have that

sin a + sin b = 2sin[2kx/2] * cos [2wt/2]

By dividing

sin a + sin b = 2sin(kx) cos(wt)

Now let us get the final resultant vertical displacement (y')

Recall that

y' = A [sin a + sin b]. and we already deduced that

sin a + sin b = 2sin(kx) cos(wt)

Finally,

y' = A [2sin(kx) cos(wt)] which is

y'=2Asin(kx)cos(wt)...... Final answer

4 0
3 years ago
A skateboarder shoots off a ramp with a velocity of 5.1 m/s, directed at an angle of 55° above the horizontal. The end of the ra
ExtremeBDS [4]

Answer

given,

initial velocity of skateboard = 5.1 m/s

angle above the horizontal = 55°

height of the ramp = 1 m

a) maximum height of projectile

  H = \dfrac{u^2sin^2 \theta}{2g}

  H = \dfrac{5.1^2\times sin^2 55^0}{2\times 9.81}

         H =  0.889 m

the maximum height of the skateboard above the ground

         = 1 + 0.889

         = 1.889 m

b) time to reach the height

   t = \dfrac{u\ sin\theta}{g}

   t = \dfrac{5.1\ sin55^0}{9.8}

          t = 0.426 s

horizontal distance = u cos θ × t

                                = 5.1 × cos 55° × 0.426

horizontal distance = 1.25 m

7 0
3 years ago
An atom of a certain element has 36 protons, 36 electrons, and a mass number of 84. At room temperature, this element is a very
Grace [21]

Answer:

12 neutrons

Explanation:

The number of protons also shows the atomic number. Therefore the element in question is Krypton (Kr), which also is a noble gas.

Neutrons = Mass number - protons - electrons

Here neutrons = 84 - 36 - 36 = 12

5 0
3 years ago
Most reactive non-metals in order?
kompoz [17]
Nonmetals often share or gain electrons. The nonmetals in the periodic table increases as you move to the right and decreases as you go down. This is because, the smaller the atom, the reactive it gets due to less electron attached to the orbits of the atom. The reactivity of nonmetals is arranged in decreasing order.   <span>               
Carbon
</span> Nitrogen
Oxygen
Fluorine
Phosphorus <span>               
Sulfur</span>
Chlorine <span>               
Selenium</span> <span>               
Bromine</span> <span>               
Iodine</span>
5 0
3 years ago
Where is most of Earth’s freshwater found?
STALIN [3.7K]
In lakes and streams
5 0
3 years ago
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