Question

Two identical cork balls, each of mass m, are
hung

from a common point by two insulating threads of negligible

mass, each of length L = 50.0 cm. Each ball has a charge

Q = - 0.2 C distributed uniformly over its volume. The balls

repel each other and assume an equilibrium position as shown. ( 30°
from the center line.)

a) Draw a free-body force diagram for one of the two masses.

b) Write down ∑F_{x} = ma_{x} and
∑F_{y} = ma_{y} for the mass m.

c) Solve the equations in part b) to determine the
tension, T, in the threads, and the mass m.

(Careful with conversion from given units to SI units:
prefix “centi” means 10^{-2} and prefix “micro” means
10^{-6}. Approximate values for gravitational acceleration
and Coulomb’s constant are g = 10 m/s^{2} and k_{e}
= 9 x 10^{9} Nm^{2}/C^{2},
respectively.)

Answer #1

Three identical small Styrofoam balls of mass 1.89 g are
suspended from a fixed point by three nonconducting threads, each
with a length of 59 cm and negligible mass. At equi- librium the
three balls form an equilateral triangle with sides of 30.6 cm.
What is the common charge carried by each ball? The acceleration
due to gravity is 9.8 m/s2 and the value of Coulomb’s con- stant is
8.98755 × 109 N · m2/C2 .
1. 0.190953 2. 0.180562...

Two identical small insulating balls are suspended by separate
0.291m threads that are attached to a common point on the ceiling.
Each ball has a mass of 7.90×10-4kg. Initially the balls are
uncharged and hang straight down. They are then given identical
positive charges and, as a result, spread apart with an angle of
35.0o between the threads. Determine the charge on each ball.
This is my third time posting this question :(

There are two small balls of mass 3 × 10−3 kg suspended from the
same point by threads 5 cm long. Equal positive charges are placed
on the balls. What must the magnitudes of these charges be if the
balls are to remain in equilibrium at angles of 30° from the
vertical?

(HW02-21.63) Two small spheres with mass m = 14.0 g are
hung by silk threads of length L = 1.16 m from a common
point (Figure 1). When the spheres are given equal charges, so that
q1=q2=q, each thread hangs at an angle
? = 20.0 ? from the vertical.
A) Find the magnitude of q.

Physics II
In figure two tiny conducting balls of identical mass m and
identical charge q hang from nonconducting threads of length L.
Assume that θ is so small that tan θ can be replaced by its
approximate equal, sin θ. Find the magnitude of q in terms of the
given variables, using ε0 and g if necessary.
If L = 170 cm, m = 11 g, and x = 4.2
cm,

Balls are attached to the ends of two strings, each of length
0.400 m. Each ball is given a charge of - 3.00 micro-coulombs, and
the strings swing upward so that in equilibrium they are separated
by an angle of =40.0 . Determine the mass of each ball.

Two 4.0-gg aluminum foil balls hang from 1.0-mm-long threads
that are suspended from the same point at the top. The charge on
each ball is +6.0×10−9C+6.0×10−9C.
Determine the angle between the threads. Assume the
gravitational force is much greater than the electrostatic
force.
Express your answer in degrees.
Determine the tension force exerted by the string.
Express your answer with the appropriate units.

The figure shows two tiny 5.0-g spheres suspended from two very
thin 1.0-m-long threads. The spheres repel each other after being
charged to +71 nC and hang at rest asshown. What is the angle ?? (k
= 1/4pe 0 = 8.99 × 109 N · m2/C2)

Two
identical small, charged spheres, each having a mass of 30 g, hang
in equilibrium as shown in the figure. The length Lof each string
is 0.7 m, and the angle theta is 50. Find the magnitude of the
charge on each sphere in (nC).(ke=9*109N.m2/C2)

Two identical small, charged spheres, each having a mass of 30
g, hang in equilibrium as shown in the figure. The length L of each
string is 0.3 m, and the angle theta is 50. Find the magnitude of
the charge on each sphere in (nC).(ke= 9*109 N.m2/C2)

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