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
Bad White [126]
3 years ago
10

Consider an electron and a proton that are initially at rest and are separated by 2.00 nm. Neglecting any motion of the much mor

e massive proton, what is the minimum (a) kinetic energy and (b) speed that the electron must be projected at so it reaches a point a distance of 12.0 nm from the proton? Assume the electron’s velocity is directed radially away from the proton. (c) How far will the electron travel away from the proton if it has twice that initial kinetic energy?
Physics
1 answer:
7nadin3 [17]3 years ago
7 0

Answer:

a)W = 57.6\times10^{-19} J

b) v =   3.556\times10^6 m/s

c) displacment = 400nm

Explanation:

Given that

charge of the electron and proton q =1.6\times10^{-19} C

the distance between electron and proton = 2.0 nm

The force between the proton and electron

F = kq^/r^2

Here k = 9\times10^9 N.m^2/C^2

F = (9\times10^9)(1.6\times10^-19)(1.6\times10^-19)/(2.0\times10^-9)^2   \\= 5.76\times10^-11N

The work done in displacing the electron from 2.0 nm to 12 nm

is the minimum kinetic energy

W = F .s

W = (5.76\times10^{-11}N)(10\times10^{-9} m)\\W = 57.6\times10^{-19} J

(b)

If this energy is the kinetic energy of the electron

(1/2) m v^2 \\= 57.6\times10^{-19} J

Here m is the mass of the electron =9.0\times10^{-31} kg

The speed of the electron v =   3.556\times10^6 m/s

(c)

If the kinetic energy is twice the initial kinetic energy

2*(initial kinetic energy) = F*displacement

displacement = 2*(initial kinetic energy)/F

Displacement = 2(57.6\times10^{-19} J)/(5.76\time10^{-11}N)

displacement = 400 nm

You might be interested in
One part of a freely swinging magnet always points
Sladkaya [172]
One part of a freely swinging magnet always points to the Earth's magnetic pole in the Northern Hemisphere.
8 0
3 years ago
Read 2 more answers
Anyone know this... pls help its for a grade​
hodyreva [135]
His average speed is 45 miles an hour
3 0
3 years ago
một động cơ nhiệt khi hoạt động nhiệt lượng mà nó nhận vào gấp bốn lần công mà nó thực hiện. Hiệu suất của động cơ là?
OlgaM077 [116]

\frac{1}{4}  = 0.25 = 25\%

6 0
2 years ago
A pool ball moving 1.83 m/s strikes an identical ball at rest. Afterward, the first ball moves 1.15 m/s at a 23.3° angle. What i
Oksi-84 [34.3K]

Answer:

v_{1fy} = - 0.4549 m / s

Explanation:

6 0
3 years ago
Can you hellp me please
Agata [3.3K]

Answer:

The answer is D.

Explanation: The northern hemisphere is more cooler, because it doesn't have much sunlight to warm it up.

6 0
2 years ago
Read 2 more answers
Other questions:
  • Which of the following is always a part of speed, velocity, and acceleration?
    7·1 answer
  • "A grinding wheel with a moment of inertia of 2.0 kg-m2 has a 2.5 N-m torque applied to it. What is its final kinetic energy 10
    7·1 answer
  • Select all the facts about a motor
    6·1 answer
  • While a block slides forward 1.35 m, a force pulls back at a 135 direction, doing -17.8 J of work. what is the magnitude of the
    12·1 answer
  • A long, straight, horizontal wire carries a left-to-right current of 20 A. If the wire is placed in a uniform magnetic field of
    13·1 answer
  • How to calculate the average value of the indirect measurements of KE
    6·1 answer
  • If u humans were able to have powers what would it be any form make ur own creation of powers
    9·2 answers
  • Lec poid se mesure avec
    9·1 answer
  • A car has a weight of 25000 N and its brakes can apply a maximum force of 628 N to stop it. The car is initially moving at a spe
    12·1 answer
  • If salt and sand are mixed with water, which methods would be used to separate the mixture?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!