a.) Two identical particles of charge 3 μμC and mass 6 μμg are initially at rest...

a.) Two identical particles of charge 3 μμC and mass 6 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?

b) Now suppose that the two particles have the same charges from the previous problem, but their masses are different. One particle has mass 6 μμg as before, but the other one is heavier, with a mass of 48 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.]

Expert Solution

Here we apply linear momentum conservation and energy conservation principle.

genius_generous answered 7 months ago

12) Two identical particles of charge 6 μC and mass 4 μg are initially at rest...

12) Two identical particles of charge 6 μC and mass 4 μg are initially at rest and held 4 cm apart. How fast will the particles move when they are allowed to repel and separate to very large (essentially infinite) distance? Answer: Last Answer Hint: The particles are identical, so you can assume that the scenario is symmetrical. Use energy conservation: What type of energy is stored in the system when the particles are near each other and at rest?...

Two identical blocks of mass M = 2.60 kg each are initially at rest on a...

Two identical blocks of mass M = 2.60 kg each are initially at rest on a smooth, horizontal table. A bullet of very small mass m = 20 g (m << M) is fired at a high speed v. = 120 m/s towards the first block. It quickly exits the first block at a reduced speed of 0.40 v, then strikes the second block, quickly getting embedded inside of it. All the motion happens on the x-axis. (a) find the...

A particle of rest energy 800 MeV decays in its rest frame into two identical particles...

A particle of rest energy 800 MeV decays in its rest frame into two identical particles of rest energy 250 MeV. What are the kinetic energies (in MeV), momenta (in MeV/c), and velocities (in units of c) of the daughter particles? Refer to the previous problem. The parent particle moves in the lab with kinetic energy 800 MeV, and one daughter particle is emitted along the parent’s direction of motion. Find the lab kinetic energy (in MeV) for the daughter...

Two identical point charges, each of charge +2.00x10-6 C and mass 7.00x10-6 kg , are fixed...

Two identical point charges, each of charge +2.00x10-6 C and mass 7.00x10-6 kg , are fixed on the y-axis at the points (x,y) = (0, +3.00) meters and (x,y) = (0, -3.00) meters. Suppose a negative charged particle of mass 8.00x10-9 kg and of charge – 6.00 C is released from rest on the x-axis at the point (x,y) = (- 4.00, 0) meters. What will be the speed of the negative charge at the instant it passes though the...

Consider a system of two particles. One (charge q1) is held at rest at the origin....

Consider a system of two particles. One (charge q1) is held at rest at the origin. the other (q2) appraches along the z axis with x(t)=(b^2+(ct)^2)^1/2). At time t=0, this particles reaches the point of closest approach b. A) At t calculate the force on q2. B) calculate the total impulse delivered to q2 by q1. C) is this the same impulse delivered to q1 by q2? verify. D) does the q2 particle radiate? and E) does the particle (q2)...

Two identical particles, each of mass m, are located on the x axis at x=+x0 and...

Two identical particles, each of mass m, are located on the x axis at x=+x0 and x=-x0 a. Determine a formula for the gravitational field due to these two particles for points on the y axis; that is, write g⃗ g→ as a function of y, m, x0, and so on. Express your answers in terms of the variables y, m, x0, and appropriate constants. Enter your answers separated by a comma. b. At what point (or points) on the...

Two particles a and b with same charge q and same mass m move uniformly in...

Two particles a and b with same charge q and same mass m move uniformly in a circular orbit around a stationary particle with a charge Q. If a has a speed Va=4m/s and radius Ra=6m, what is the radius of the orbit Rb of b if its speed is Vb=8m/s?

A rifle of mass M is initially at rest. A bullet of mass m is fired...

A rifle of mass M is initially at rest. A bullet of mass m is fired from the rifle with a velocity v relative to the ground. Which one of the following expressions gives the velocity of the rifle relative to the ground after the bullet is fired? A) −mv B) mv C) Mv/m D) mv/M

A ball with a mass of 0.615 kg is initially at rest. It is struck by...

A ball with a mass of 0.615 kg is initially at rest. It is struck by a second ball having a mass of 0.380 kg , initially moving with a velocity of 0.260 m/s toward the right along the x axis. After the collision, the 0.380 kg ball has a velocity of 0.230 m/s at an angle of 37.4 ∘ above the x axis in the first quadrant. Both balls move on a frictionless, horizontal surface. What is the magnitude...

Two identical, uniform and frictionless spheres, each of mass m, rest in a rigid rectangular container...

Two identical, uniform and frictionless spheres, each of mass m, rest in a rigid rectangular container as shown in the figure. A line connecting their centers is at 45° to the horizontal. a)If the angle is increased to 90° think about what happens to the forces. This can help provide a check to your answers as we make a change to the problem. For all of the following questions, the configuration is now changed such that the line connecting their...

Question