Question

Two equally charged particles, held 4.2 x 10-3 m apart, are released from rest. The initial...

Two equally charged particles, held 4.2 x 10-3 m apart, are released from rest. The initial acceleration of the first particle is observed to be 7.4 m/s2 and that of the second to be 11 m/s2. If the mass of the first particle is 5.9 x 10-7 kg, what are (a) the mass of the second particle and (b) the magnitude of the charge (in C) of each particle?

Homework Answers

Answer #1

For every force there is an equal and opposite reaction force.
In this case the force on one particle is equal but opposite to the force on the other particle.
This follows directly from the conservation of momentum principle.
This is because a force is the rate of change of momentum. F=dP/dT For the total momentum of the system to remain constant or zero the rate that one particle picks up momentum must be equal to the rate that the other particle picks up momentum. (Of course the directions of the momentum will be opposite, just as the directions of the forces on each particle are)


That means F1 = - F2 (dP1/dT = - dP2/dT)

M1a1 = - M2 a2
That is the answer to (a)

For (b) ,you know the force, and you use the equation below to solve for Q1

F=k* Q1Q1 /R^2
F=k* Q1^2 /R^2

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Two equally charged particles, held 4.0 × 10-3 m apart, are released from rest. The initial...
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...
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...
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 particles, with identical positive charges and a separation of 2.77 × 10-2 m, are released...
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 particles, with identical positive charges and a separation of 3.24 × 10-2 m, are released...
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.
Two point-like particles with equal but opposite charge are placed 18.3 cm apart and released. The...
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]
One particle has a mass of 2.11 x 10-3 kg and a charge of +8.91 μC....
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....
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.
(a) Two particles which have the same magnitude charge but opposite sign are held 9.00 nm...
(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 0.60 g spheres are charged equally and placed 2.3 cm apart. When released, they begin...
Two 0.60 g spheres are charged equally and placed 2.3 cm apart. When released, they begin to accelerate at 100 m/s2 . What is the magnitude of the charge on each sphere?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT