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
BaLLatris [955]
3 years ago
14

A uranium and iron atom reside a distance R = 37.50 nm apart. The uranium atom is singly ionized; the iron atom is doubly ionize

d. Calculate the distance r from the uranium atom necessary for an electron to reside in equilibrium. Ignore the insignificant gravitational attraction between the particles. Also, what is the magnitude of the force on the electron from the uranium ion?
Physics
1 answer:
postnew [5]3 years ago
7 0

Answer:

r=15.53 nm

F=9.57\times 10^{-13}N

Explanation:

Lets take electron is in between iron and uranium

Charge on electronq_1= -1.602\times 10^{-19}C

Charge on ironq_2= 2\times 1.602\times 10^{-19}C

Charge on uraniumq_3= 1.602\times 10^{-19}C

We know that force between two charge

F=K\dfrac{q_1 q_2}{r^2}  

K=9\times 10^9\dfrac{N-m^2}{c^2}

For equilibrium force between electron and iron should be force between electron and  uranium

Lets take distance between electron and  uranium is r so distance between electron and iron will be 37.5-r nm

Now by balancing the force

K\dfrac{q_1 q_2}{r^2}=K\dfrac{q_1 q_3}{(37.5-r)^2}  

K\dfrac{q_1q_2}{(37.5-r)^2}=K\dfrac{q_1 q_3}{r^2}  

q_2= 2\timesq_1,q_3=q_1

\dfrac{q_1\times 2\timesq_1}{r^2}=\dfrac{q_1\times q_1}{(37.5-r)^2}

So r=15.53 nm

So force

F=9\times 10^9\dfrac{1.602\times 10^{-19}\times 1.602\times 10^{-19}}{(15.53\times 10^{-9})^2}  

F=9.57\times 10^{-13}N

You might be interested in
Vector C has a magnitude of 24.6 m and points in the − y ‑ direction. Vectors A and B both have positive y ‑ components, and mak
frez [133]

Answer:

A= 61.35

B= -44.40

Explanation:

1. Using the components method we have:

A_{x}= A cos \alpha\\B_{x}= B cos \beta\\C_{x}= 0\\\\A_{y}= A sin \alpha\\B_{y}= B sin \beta\\C_{y}= 24.6\\

Considering that the vector sum A+B+C=0, then:

|V|=\sqrt{V_{x}^{2} +V_{y}^{2} }=0

Then:

V_{x} ^{2} =0; V_{x} =0\\V_{y} ^{2} =0; V_{y} =0

It means the value of x and y component is 0.

2. Determinate the equations that describe each component:

V_{x}= A cos \alpha -B cos \beta=0  (1)\\V_{y}= A sin \alpha +B sin \beta - C=0   (2)

Form Eq. (1):

A=B \frac{cos \beta}{cos \alpha}     (3)

Replacing A in Eq. (2):

(B\frac{cos \beta}{cos \alpha})(sin \alpha)+ B sin\beta-C=0\\(B\frac{cos \beta}{cos \alpha})(sin \alpha)+ B sin\beta-=C\\\\B(\frac{cos \beta. sin \alpha}{cos \alpha}+ sin\beta)=C\\B=C(\frac{cos \beta. sin \alpha}{cos \alpha}+ sin\beta)^{-1}     (4)

Replacing values of C, α and β in (4):

B= 24.6 (\frac{(cos 27.7)(sin 44.9)}{cos 44.9}+sin 27.7)^{-1}  \\B= -44.4

Replacing value of B in (3)

A=-44.40\frac{cos 27.7}{sin 49.9} \\A= 61.35

5 0
2 years ago
You toss a ball in the air. what is the work done by gravity as the ball goes up?
jolli1 [7]

Answer: Gravity slows the ball down as it goes up and eventually stops it from going up and starts to pull it back down to earth.

Explanation:

7 0
2 years ago
Presence of _______- in retina gives us night vision that is help us to see in dim light.Required to answer. Single choice. Imme
qwelly [4]

Answer: Rods

Explanation:

The rod cells in the retina are the reason we are able to see at night and in dim light. They exist on the edges of the retina which is why they are also very useful for the peripheral vision of a human.

Rod cells number over 90 million in the eyes and although very useful for seeing in dimmer light, they are not very useful for color vision which is why humans see less colors in the dark.

7 0
2 years ago
An overtone that's a whole number multiple of the fundamental frequency of a string is called a
alina1380 [7]
The correct answer in this case is B. Harmonic.

The remaining answers refer to other parts of a musical composition, and some such as the pitch can even be found in the study of human voice. 
6 0
3 years ago
Teams red and blue are having a tug-of-war. According to Newton's third law, the force with which the red team pulls on the blue
Zielflug [23.3K]
There are a few reasons that one teams could win. It depends if the on of the  teams has a better grip on the rope or not or maybe one off the teams has more friction between the ground and there shoes. So really it no matter what one of the teams will win.
7 0
3 years ago
Other questions:
  •  While texting his girlfriend that he was running late for their date, Jordan rear-ended a car stopped at a red light. Since thi
    6·2 answers
  • Weight measures:
    6·1 answer
  • Light travels in...<br> A) electromagnetic waves B) electrons <br> C) photons <br> D) a and c
    13·1 answer
  • Dos cargas de 1 pC estan a 1mm, la fuerza de interaccion entre dichas cargas es?​
    15·1 answer
  • A 4.88 x 10-6 C charge moves 265 m/s
    7·2 answers
  • a proton travelling along the x-axis is slowed by a uniform electric field E. at x = 20 cm, the proton has a speed of 3.5x10^6 m
    5·1 answer
  • What is the speed of a person travelling 30 meters in 5 seconds?
    5·2 answers
  • A person pushes an object of mass 5.0 kg along the floor by applying a
    8·1 answer
  • If a 75 W lightbulb is 15% efficient, how many joules of light energy does the bulb produce every minute?
    11·1 answer
  • the weight of an object on the earths surface is 300N. when it is lifted to 3 times the height, its weight will become
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!