Imagine you have a single proton held fixed in place. How far below the proton should you place an electron so that it is in equilibrium? [Hint: think about ALL the forces acting on the electron.] If the scenario is switched, so that the electron is held fixed and the proton placed below, find the distance between the electron and proton so that the proton is in equilibrium.
Imagine you have a single proton held fixed in place. How far below the proton should...
1. In the Bohr model of the hydrogen atom, a single electron orbits a single proton at a distance r-0.50 x 10-10 meters as shown. a) b Assuming the Coulomb force supplies the necessary centripetal force, find the Find the value of the attractive Coulomb force exerted on the electron. electron's speed v in its orbit about the nucleus. Can a charged object exert forces on an uncharged object? If so, will this force be attractive, repulsive, or is either...
5. Two particles carrying a charge of q-+8q and qp -2q are fixed in place the origin while the charge qz is at a distance i can a proton be placed so that it is in equilibrium (the net force on equilibrium stable or unstable? (That is, if the proton is displaced, do the forces d back to the point of equilibrium or drive it further away? R. A what po int (other than infinitely away) t is zero)? Is...
Imagine that you want to run a single-quanton two-slit interference experiment with electrons. If the distance between your electron gun and the electron detectors is about 1 m, your electrons have a kinetic energy of 90 eV, and you want there to be only a 1/10000 chance that an electron is in flight at any instant, what should the current represented by the electron beam be (in femtoamperes)? Hint 1: Make the approximation that the electron is moving non-relativistically. Hint...
In the figure particles 1 and 2 are fixed in place on an x axis, at a separation of L = 8.30 cm. Their charges are q1 = +e and q2 = -27e. Particle 3 with charge q3 = +6e is to be placed on the line between particles 1 and 2, so that they produce a net electrostatic force Fnet3 on it. (a) At what coordinate should particle 3 be placed to minimize the magnitude of that force? (b) What is that minimum magnitude? I know that the distance ends up being x=L/4 but I'm having trouble...
Seismometer Project Imagine that we have a delicate instrument carefully mounted on a low-friction surface, and held in place laterally by springs. Delicate Instrument Very low friction Mounting frame fixed to Earth Since the mounting frame is fixed to the Earth, seismic movements such as earthquakes are our input into the system! The delicate instrument of mass 'm', on the other hand, wants to stay fixed relative to inertial space. Let's assume that the inertial position of the delicate instrument...
You have two charges +4q and one charge -q. (a) How would you place them along a line so there's no net force on any of the three? Options: One positive charge must be at the midpoint between the other two charges. The negative charge must be at the midpoint between the two positive charges. One positive charge must be four times the distance from the negative charge as it is from the other positive charge. There is no way...
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Suppose we had a large, positively charged plate in an upright (vertical) position and a point charge with positive charge +Q. In lecture, you saw that a large charged plate gives rise to an electric field which is constant in space: we will call this electric field Eplate. Let us suppose also that we had a s bl with positive charge +q and...
Main objective: Solve the n queens problems. You have to place n queens on an n × n chessboard such that no two attack each other. Important: the chessboard should be indexed starting from 1, in standard (x, y) coordinates. Thus, (4, 3) refers to the square in the 4th column and 3rd row. We have a slight twist in this assignment. We will take as input the position of one queen, and have to generate a solution with a...
nutaud 4) Read the following and revise your free body diagram as necessary. A common confusion when drawing extended free body diagrams is how to draw the force of gravity. For a static equilibrium situation like this, you should draw a single arrow to represent the force of gravity on an extended object. The tail of this vector is placed at the center of mass of the object. It is good practice to pause at this point and think about...
6. Consider a horizontal spring with spring constant k. A block with mass m is pushed far to the left against the spring until the spring is compressed a distance r relative to its relaxed length. A second block, which is stationary and also has a mass m, is located to the right of the spring im rrm a) We release the first block from rest. Due to the force from the spring, it slides to the right and eventually...