1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Burka [1]
3 years ago
7

An electron is projected with an initial speed of 5 3.2 10 / ⋅ m s directly toward a proton that is fixed in place. If the elect

ron is initially a great distance from the proton, at what distance from the proton is the speed of the electron instantaneously equal to twice the initial value?
Physics
1 answer:
Dvinal [7]3 years ago
6 0

Answer:

The distance is d =1.66*10^{-9}m

Explanation:

From the question we are told that

         The initial speed of the  electron is v_i  = 3.2 *10^5 m/s

         The mass of electron is m = 9.11*10^{-31}kg

         Let d be the distance between the electron and the proton when the speed of the electron instantaneously equal to twice the initial value

         Let KE_i be the initial kinetic energy of the electron \

          Let KE_d be the kinetic energy of the electron at the distance d from the proton

  Considering that energy is conserved,

  The energy at the initial position of the electron = The energy at the final position of the electron

      i.e

             KE_i +U_1 = KE_d + U_2

U_1 \ and \ U_2 are the potential energy at the initial  position of the electron and at distance d of the electron to the proton

                Here U_1 = 0

So the equation becomes

                   \frac{1}{2} mv_i^2 = \frac{1}{2} mv_d^2  + \frac{kq_1 q_2}{d}

Here q_1 \ and  \ q_2 are the charge on the electron and the proton and their are the same since a charge on an electron is equal to charge on a proton

 k is electrostatic constant with value 8.99*10^9 N \cdot m^2 /C^2

i.e q = 1.602 *10^{-19}C

           v_d is the velocity at distance d from the proton = 2v_i

  So the equation becomes

             \frac{1}{2}mv_i^2 = \frac{1}{2} m (2v_i)^2 -\frac{k(q)^2}{d}

            \frac{1}{2} mv_i^2  = 4 [\frac{1}{2}mv_i^2 ]- \frac{k(q)^2}{d}

           3[\frac{1}{2}mv_i^2 ] = \frac{k(q)^2}{d}

Making d the subject of the formula

           d = \frac{2k(q)^2}{3mv_i^2}

              = \frac{2* 8.99*10^9 *(1.602*10^{-19}^2)}{3 * 9.11*10^{-31} *(3.2*10^5)^2}

              =1.66*10^{-9}m

             

           

         

                 

   

You might be interested in
Two postal delivery workers have different routes. They both travel from the post office, to neighborhoods to deliver mail, and
SOVA2 [1]

they travel the same distance

7 0
3 years ago
I need help please hurry ??!!!
jok3333 [9.3K]

Answer:

I would use the model of Ammonia because it helps you visualize the structure of NH3 better than the description. It would be easier to understand the structure of it if you can see it, rather than reading its description.

3 0
3 years ago
Two students designed an experiment to study the effect of solar radiations on four cities of Earth. They used a globe to repres
Furkat [3]
Great experiment !  Everybody should try it if they can get the equipment. 
It demonstrates a lot of things that are very hard to explain in words. 

I hope the students remembered to tilt the axis of the globe.  If they didn't,
and instead kept it straight up and down, then each city had pretty much
the same amount of bulb-light all the way around, and there were no seasons.

If the axis of the globe was tilted, then City-D had the least variation in
seasons.  City-D is only 2° from the equator, so the sun is more direct
there all year around than it is at any of the others.
3 0
3 years ago
The energy photon affects which property of light
Triss [41]

Answer:

photoelectric effect

Explanation:

When the energy from photons is absorbed by matter, the matter can emit electrons. This process is called the photoelectric effect. The photoelectric effect is a property of light that is not explained by the theory that light is a wave.

4 0
3 years ago
Spiderman has a mass of 80 kg. He knows his webbing will break if it is exposed to a 200 N force. What is the maximum height he
likoan [24]

Answer:

This depends on the writers

if they want they can make spiderman deny the laws of nature

8 0
3 years ago
Other questions:
  • What happens when the crests of two waves overlap
    13·1 answer
  • (I will give brainliest whoever helps me !!)
    12·1 answer
  • At a certain time a particle had a speed of 87 m/s in the positive x direction, and 6.0 s later its speed was 74 m/s in the oppo
    12·1 answer
  • Explain how the earth is round and not flat
    14·2 answers
  • 5.) A 2000 N bear slides down a tree at a constant velocity, what is the
    12·1 answer
  • Why is copper so widely sought world market and new york mercantile exchange?
    10·2 answers
  • A person takes a trip, driving with a constant speed of 89.5 km/h, except for a 22.0-min rest stop. If the person’s average spee
    8·1 answer
  • When a space shuttle was launched, the astronauts aboard experienced and acceleration of 29.0 m/s. If one of the astronauts had
    9·1 answer
  • A 7.0kg object rests on a horizontal frictionless surface. What is the magnitude of the horizontal
    6·1 answer
  • Geologists know the past temperature of the planet based on rock and fossil evidence. Why do you think it is difficult to determ
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!