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
miv72 [106K]
3 years ago
12

Two identical conducting spheres, having charges of opposite sign, attract each otherwith a force of 0.108 n when separated by 5

0.0 cm. the spheres are suddenly con-nected by a thin conducting wire, which is then removed, and thereafter the spheresrepel each other with a force of 0.0360 n. what were the initial charges on the spheres?
Physics
1 answer:
lisov135 [29]3 years ago
6 0
Let's start from the final situation. After the two spheres are connected with the conducting wire, the total charge distributes equally between the two spheres (because they are identical). We can call the charge on each sphere Q/2, with Q being the total charge. 
The electrostatic force in this situation is 0.0360 N, so we can write
F=k \frac{( \frac{Q}{2} )^2}{r^2}
where k is the Coulomb's constant and r=50.0 cm=0.50 m is the separation between the two spheres. Using F=0.0360 N, we can find the value of Q, the total charge shared between the two spheres:
Q= \sqrt{ \frac{4Fr^2}{k} } = \sqrt{ \frac{4(0.0360 N)(0.50 m)^2}{8.99 \cdot 10^9 Nm^2C^{-2}} }=2.0 \cdot 10^{-6}C

Now let's go back to the initial situation, before the conducting wire was attached; in this situation, the two spheres have a charge of q_1 and q_2, whose sum is Q:
Q=q_1 + q_2
The electrostatic force between the two spheres in the initial situation is:
F=k \frac{q_1 q_2}{r^2}
And since we know F=0.108 N, we find
q_1 q_2 =  \frac{Fr^2}{k} = \frac{(0.108 N)(0.50 m)^2}{8.99 \cdot 10^9 N m^2 C^{-2}}=3.0 \cdot 10^{-12} C
But the problem tells us that the two spheres have charges of opposite sign, so we must put a negative sign:
-3.0 \cdot 10^{-12} C = q_1 q_2

So now we have basically a system of 2 equations:
2.0 \cdot 10^{-6} C = Q = q_1 + q_2
-3.0 \cdot 10^{-12} C = q_1 q_2
If we solve it, we find the initial charge on the two spheres:
q_1 = -1 \cdot 10^{-6}C
q_2 = +3 \cdot 10^{-6 } C
You might be interested in
a 3,000kg truck runs into the rear of a 1000kg car that was stationary. The truck and car are locked together after the collisio
joja [24]
FVJDJFN.s<ldF KN,M c":F,BJ TNHIJRT IHJYODIFG 
7 0
3 years ago
A 0.500-kg block, starting at rest, slides down a 30.0° incline with static and kinetic friction coefficients of 0.350 and 0.250
Leviafan [203]

Answer:x=23.4 cm

Explanation:

Given

mass of block m=0.5 kg

inclination \theta =30

coefficient of static friction \mu =0.35

coefficient of kinetic friction \mu _k=0.25

distance traveled d=77.3 cm

spring constant k=35 N/m

work done by gravity+work done by friction=Energy stored in Spring

mg\sin \theta d-\mu _kmg\cos \theta d=\frac{kx^2}{2}

mgd\left ( \sin \theta -\mu _k\cos \theta \right )=\frac{kx^2}{2}

0.5\times 9.8\times 0.773\left ( \sin 30-0.25\cos 30\right )=\frac{35\times x^2}{2}

x=\sqrt{\frac{2\times 0.5\times 9.8\times 0.773(\sin 30-0.25\times \cos 30)}{35}}

x=0.234 m

x=23.4 cm

6 0
3 years ago
How is color related to wavelength?
dlinn [17]
<span>Each color has a different wavelength allowing the eye to see it.</span>
8 0
3 years ago
X-Rays contradict to?<br> a)beta b) alpha.<br> C) gamma
Vesna [10]
<h3>X-Rays contradict to?</h3>

<h3>C. gamma </h3>

a type of penetrating electromagnetic radiation produced by the radioactive disintegration of atomic nuclei

3 0
3 years ago
Read 2 more answers
Mangrove forests play an important role in _______.
AysviL [449]
D. All of the above

At high tide fish will feed among the mangrove roots - rich fishing ground

The trees trap sediment and soil in the river that would flow out to sea which also helps stop erosion

Wildlife utilise almost every part of the tree, with insects and birds, monkeys and lizards in the branches, shrimps and fish in the roots, and snails and clams in the soil
4 0
2 years ago
Other questions:
  • How to create a water ripple experiment
    7·1 answer
  • During a cross-country flight you picked up rime icing which you estimate is 1/2" thick on the leading edge of the wings. You ar
    10·1 answer
  • A spherical steel ball bearing has a diameter of 2.540 cm at 26.00°C. (Assume the coefficient of linear expansion for steel is 1
    12·1 answer
  • It takes 23 hours 56 minutes and 4 seconds for the earth to make one revolution (mean sidereal day). What is the angular speed o
    14·1 answer
  • The volume of a gas can be converted to moles by
    12·1 answer
  • You have to use 4 N of force to lift a 36 N object with a lever. The lever has an effort arm of 45 m. What is the load arm lengt
    11·1 answer
  • Which has the greater density, 5 kg of lead or 10 kg of gold?
    11·1 answer
  • Do two magnets create magnetic force fields that allow them to interact without touching?
    8·1 answer
  • TIMED! URGENT! REALLY APPRECIATE HELP!! TYSM!!!!!!
    11·2 answers
  • Two examples of chemical reactions that involved a thermal energy change:
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!