Question

Two identical particles of charge 6 μμC and mass 3 μμg are initially at rest and held 3 cm apart. How fast will the particles move when they are allowed to repel and separate to very large (essentially infinite) distance? Now suppose that the two particles have the same charges from the previous problem, but their masses are different. One particle has mass 3 μμg as before, but the other one is heavier, with a mass of 30 μμg. Their initial separation is the same as before. How fast are the particles moving when they are very far apart? [Enter the heavier particle's final speed in the first box and the lighter particle's final speed in the second box.]

Answer #1

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Three identical particles with the same charge q and
mass m are held at the corners of an equilateral triangle
with sides d as shown:
a) If all three particles are released simultaneously, what is
their speed when they have traveled a large distance (effectively
an infinite distance) from each other?
b) Suppose instead that the particles are released one at a
time. The first one is released, and when it is at a large distance
away the second one...

One particle has a mass of 2.11 x 10-3 kg and a
charge of +8.91 μC. A second particle has a mass of 7.27 x
10-3 kg and the same charge. The two particles are
initially held in place and then released. The particles fly apart,
and when the separation between them is 0.128 m, the speed of the
2.11 x 10-3 kg-particle is 142 m/s.
Find the initial separation between the particles.

One particle has a mass of 4.58 x 10-3 kg and a
charge of +6.79 μC. A second particle has a mass of 8.66 x
10-3 kg and the same charge. The two particles are
initially held in place and then released. The particles fly apart,
and when the separation between them is 0.193 m, the speed of the
4.58 x 10-3 kg-particle is 191 m/s. Find the initial
separation between the particles.

Four identical particles (charge Q=1.6 nC, mass m = 4 g) are
placed at corners of a square of side b = 5.9 cm. What is the
electric potential energy of this system? (The electric potential
energy is zero when the particles are very far apart.)
The particles are now released from rest. What is the speed of
each particle when they are very far apart? (You may ignore
gravity.)

Two particles which have the same magnitude charge but opposite
sign are held r = 7 nm apart. Particle I is then released
while Particle II is held steady; the released particle has a mass
of 8.72 × 10-23 kg. Particle I's speed is 110 km/s when
it is 0.74r away from Particle II.
1. What is the magnitude of the charge on one
of the particles?
2. If the particles are still initially held 7 nm apart but
both...

(a) Two particles which have the same magnitude charge but
opposite sign are held 9.00 nm apart. Particle I is then released
while Particle II is held steady; the released particle has a mass
of 1.02 10-22 kg. Particle I's speed is 108 km/s when it is 4.5 nm
away from Particle II. What is the magnitude of the charge on one
of the particles?

Two particles each have a mass of 5.6 x 10-4 kg. One has a
charge of +5.4 x 10-6 C, and the other has a charge of -5.4 x 10-6
C. They are initially held at rest at a distance of 0.72 m apart.
Both are then released and accelerate toward each other. How fast
is each particle moving when the separation between them is
one-third its initial value?

Two particles with the same mass, 70.0 g, are released from rest
in space with an initial distance of 0.85 m between them. Particle
A has charge 14.5 μC while particle B has charge 62.0
μC. What is the kinetic energy (in J) of
particle B at the instant when the particles are 2.60 m apart?
Round your answer to 2 decimal places.

Two equally charged particles, held 4.0 × 10-3 m
apart, are released from rest. The initial acceleration of the
first particle is observed to be 7.3 m/s2 and that of
the second to be 8.4 m/s2. If the mass of the first
particle is 8.5 × 10-7 kg, what are (a)
the mass of the second particle and (b) the
magnitude of the charge of each particle?

Two equally charged particles, held 4.0 × 10-3 m
apart, are released from rest. The initial acceleration of the
first particle is observed to be 5.5 m/s2 and that of
the second to be 9.0 m/s2. If the mass of the first
particle is 7.8 × 10-7 kg, what are (a)
the mass of the second particle and (b) the
magnitude of the charge of each particle?

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