In: Physics

Two identical metal spheres attract each other with a force of 7.00 × 10−6 N when they are 3.00 cm apart. The spheres are then touched together and then removed to the original separation where now a force of repulsion of 2.00 × 10−6 N is observed. What is the charge on each sphere after touching and before touching?

Let charges on spheres = Q1 and -Q2

then, Electric force is given by,

F = k*Q1*Q2/R^2

given, F = 7.00*10^-6 N

R = disance between spheres = 3.00 cm = 3*10^-2 m

k = 9*10^-9

So, 7.00*10^-6 = 9*10^9*Q1*Q2/(3*10^-2)^2

Q1*Q2 = 7.00*10^-6/(1*10^13)

Q1*Q2 = 7.00*10^-19 eq(1)

Remember whenever metal spheres are touched, the charge is equally distributed between them. now

Charge on bothe metal sphere = Q1' = Q2' = (Q1-Q2)/2

So, new electrical force will be,

F' = k*Q1'*Q2'/R^2

here, F' = 2.00*10^-6 N

2.00*10^-6 = (9*10^9)*((Q1-Q2)/2)^2/(3*10^-2)^2

((Q1-Q2)/2)^2 = 2.00*10^-19

(Q1 - Q2)^2 = 8*10^-19 eq(2)

From eq(1) and (2),

Q1 = 13.96*10^-10 C & Q2 = 5.01*10^-10 C

**Q1 = charge on sphere 1 before touching = 13.96*10^-10
C**

**Q2 = charge on sphere 2 after touching = -5.01*10^-10
C**

**Q1' = Q2' = charge on each sphere after touching =
(13.96 - 5.01)*10^-10/2 = 4.475*10^-10 C**

**Let me know if you've any query.**

Two identical conducting spheres, fixed in place, attract each
other with an electrostatic force of -0.8803 N when
separated by 50 cm, center-to-center. The spheres are then
connected by a thin conducting wire. When the wire is removed, the
spheres repel each other with an electrostatic force of 0.0921
N. What were the initial charges on the spheres? Since one
is negative and you cannot tell which is positive or negative,
there are two solutions. Take the absolute value of...

Two identical conducting spheres, fixed in place, attract each
other with an electrostatic force of -0.6825 N when separated by 50
cm, center-to-center. The spheres are then connected by a thin
conducting wire. When the wire is removed, the spheres repel each
other with an electrostatic force of 0.1986 N. What were the
initial charges on the spheres? Since one is negative and you
cannot tell which is positive or negative, there are two solutions.
Take the absolute value of...

Two identical conducting spheres, fixed in place, attract each
other with an electrostatic force of -0.2532 N when
separated by 50 cm, center-to-center. The spheres are then
connected by a thin conducting wire. When the wire is removed, the
spheres repel each other with an electrostatic force of 0.2525
N. What were the initial charges on the spheres? Since one
is negative and you cannot tell which is positive or negative,
there are two solutions. Take the absolute value of...

Two identical conducting spheres, fixed in place, attract each
other with an electrostatic force of 0.154 N when their
center-to-center separation is 42.2 cm. The spheres are then
connected by a thin conducting wire. When the wire is removed, the
spheres repel each other with an electrostatic force of 0.0430 N.
Of the initial charges on the spheres, with a positive net charge,
what was (a) the negative charge on one of them and (b) the
positive charge on the...

Two identical conducting spheres, fixed in place, attract each
other with an electrostatic force of -0.3675 N when
separated by 50 cm, center-to-center. The spheres are then
connected by a thin conducting wire. When the wire is removed, the
spheres repel each other with an electrostatic force of 0.3129
N. What were the initial charges on the spheres? Since one
is negative and you cannot tell which is positive or negative,
there are two solutions. Take the absolute value of...

Two identical metal spheres A and B are connected by a plastic rod. Both are initially neutral. 4.0×1012 electrons are added to sphere A, then the connecting rod is removed. a)Afterward, what is the charge of A? b)Afterward, what is the charge of B?

1). A total charge of 3.30 C is distributed on two metal spheres. When the spheres are 10.00 cm apart, they each feel a repulsive force of 4.2*10^11 N. How much charge is on the sphere which has the lower amount of charge?
2). 2 equal charges, 10 micro Coulomb each, are separated by 5 cm. Find force between those.
3). Add 7 micro Coulombs and 4,204 nano Coulombs and get the result in nano Coulombs unit.
4). How...

Two charged particles attract each other with a force of magnitude F acting on each. If the charge of one is doubled and the distance separating the particles is also doubled, the force acting on each of the two particles has magnitude(a) F/2(b) F/4(c) F(d) 2F(e) 4F(f) None of the above.

Two identical insulated metal spheres are separated d metres
apart and carry charges of +q and –q. The force that they exert on
each other is 4 x 10-3 N. If the charged spheres are now separated
by 3d metres, the magnitude of the new force between them is:

Two metal spheres of identical mass m = 3.60 g are suspended by
light strings 0.500 m in length. The left-hand sphere carries a
charge of 0.765 µC, and the right-hand sphere carries a charge of
1.61 µC. What is the equilibrium separation between the centers of
the two spheres?

ADVERTISEMENT

ADVERTISEMENT

Latest Questions

- In C++, please. Thank you! Perhaps you remember the popular TV show, Deal or No Deal,...
- JAVASCRIPT: - Please create an object (grade) with 10 names and 10 grades. - Create a...
- Q4. Tiger Woods is known for having one of the fastest driving swings in Golf (among...
- A forensic audit firm has five audit jobs remaining at a point in time. The audits...
- how do I split this string in python?? testString="\0xdc\0x02\0xfe\0x7d\0xac" I want it to be recognized as...
- 4. The DuPont System allows us to relate the return on total assets and the return...
- A charge of +1.00 millicoulomb is evenly sprayed over the surface of an insulating sphere of...

ADVERTISEMENT