Question

Two particles, with identical positive charges and a separation of 3.24 × 10-2 m, are released from rest. Immediately after the release, particle 1 has an acceleration a1 whose magnitude is 5.92 × 103 m/s2, while particle 2 has an acceleration a2 whose magnitude is 7.22 × 103 m/s2. Particle 1 has a mass of 7.54 × 10-6 kg. Find (a) the charge on each particle and (b) the mass of particle 2.

Answer #1

Two particles, with identical positive charges and a separation
of 2.77 × 10-2 m, are released from rest. Immediately after the
release, particle 1 has an acceleration a1 whose magnitude is 4.70
× 103 m/s2, while particle 2 has an acceleration a2 whose magnitude
is 10.1 × 103 m/s2. Particle 1 has a mass of 6.73 × 10-6 kg. Find
(a) the charge on each particle and (b) the mass of particle 2.

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?

Two equally charged particles are
held 4.1 ✕ 10−3 m apart and
then 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 9.4 m/s2. The
mass of the first particle
is 6.3 ✕ 10−7 kg.
(a) What is the mass of the second
particle?
kg
(b) What is the magnitude of the charge of each
particle?
C

Two point-like particles with equal but opposite charge are
placed 18.3 cm apart and released. The first particle has a mass of
19.2 g and initially accelerates toward the second particle at 6.78
m/s2. The second particle initially accelerates toward
the first at 2.11 m/s2. Find the magnitude of the charge
on each particle, and the mass of the second particle. [ans.
6.96×10-7 C, 61.7 g]

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 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...

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...

Two particles A and B having charges 8×10−6C and
−2×10−6 respectively are held fixed with a separation of 20cm.
Where should a third charged particle C be placed so that it does
not experiences a net electric force

Two identical point charges (q = +6.70 x 10-6 C) are fixed at
opposite corners of a square whose sides have a length of 0.550 m.
A test charge (q0 = -7.80 x 10-8 C), with a mass of 3.20 x 10-8 kg,
is released from rest at one of the corners of the square.
Determine the speed of the test charge when it reaches the center
of the square.

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