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A rope is tied to the top of a 10 m flag pole. The rope is tensioned to 120N and then tied to a stake in the ground 20m from the bottom of the pole. The ground is level. Find the vertical and horizontal components of this force.


What are the necessary conditions for mechanical work?
  1. You have an equilateral triangle, and it happens you place three charges 16C 18C 17C on each vertex, the equilateral triangle is separated by the distance r. What is the total net force experience by q2 due to other two charges if the charge is place at the middle vertex of the triangle?

a baseball pitcher throws the ball. If the linear velocity of the ball relative to the elbow joint 23.0 (m)/(s) at a distance of 0.340m from the joint and the moment of inertia of the forearm is 0.5 kg*m^(2), what is the rotational kinetic energy?


What amount of work is done on a cart that is pushed 4.0 m across a floor by a horizontal force 50 N net force?




A pin placed in contact with one surface of a glass block of thickness 15ck and of refractive index 1.5 is viewed by the normal of the opposite surface . By how much does the pin appear to be displaced .


This is a context-rich question where I don’t have access to the problem with it’s quantities, but rather I need to come up with a strategy to solve it (what equations to use, diagrams to draw, describe what’s happening etc). This question falls under the Electric, Gravitational and Magnetic Fields Unit.


Question:


You and a friend have been given the task of designing a display for the science department that will demonstrate the strength of the electric force. Your friend comes up with an idea that sounds neat theoretically, but you are not sure it is practical. They suggest you use an electric force to hold a glass marble in place on a sloped plywood ramp. They would get the electric force by attaching uniformly charged spheres in a semicircle near the bottom of the ramp (see diagram below). Your friend claims that if the charges on the marble and spheres and the slope of the ramp are chosen properly, the marble would be balanced at the centre of the semicircle. To test this idea, you examine a system with a ramp at some angle and five spheres with some charge arranged uniformly in a semicircle of some radius. The marble would sit in a slot of some length cut lengthwise into the center of the ramp. You measure the mass of the lightest marble you can find. What charge would you need to put on the marble?


What would I do to solve this? Thank you!


Show that I;(cos p – sin p +2i sin o cos ) = 242, where is the azimuthal angle.


A particle of mass mis fixed at one end of a rigid rod of negligible mass and length R The other end of the rod rotates in the xy plane about a bearing located at the origin, whose axis is in the z-direction. (a) Write the system's total energy in terms of its angular momentum L. (b) Write down the time-independent Schrödinger equation of the system Calculate the energy eigenvalues of an axially symmetric rotator and find the degeneracy of each energy level (i.c., for each value of the azimuthal quantum number m, find how many states (1. m) correspond to the same energy). We may recall that the Hamiltonian of an axially symmetric rotator is given by 2+2; 21: where and I2 are the moments of inertia. (b) From part (a) infer the energy eigenvalues for the various levels of I = 3. (c) In the case of a rigid rotator (ie, h = h = 1), find the energy expression and the corresponding degeneracy relation (d) Calculate the orbital quantum number and the corresponding energy degeneracy for a rigid rotator where the magnitude of the total angular momentum is 561.


Consider the operator Å= }(İxjy + JyJ). (a) Calculate the expectation value of  and à with respect to the state | j, m). (b) Use the result of (a) to find an expression for A in terms of: j4, j2, P, Ϊ, Ĵª.


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