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Please be clear in the explanations. Thank you very much

. Please be clear in the explanations. Thank you very much 1. A particle of mass...
A particle of mass ? = 0.5 ?? and charge ? = 2 × 10^−5 ? is dropped from the height of ℎ = 10 ? towards a charged particle with ? = 8 × 10^−5 ?, which lies on the ground. What is the minimum distance between the charges? (Take ? = 10 ?/?^2)
1. A particle of mass m and charge q is dropped from height of 3h above the ground. The particle starts from rest and its starting position is (x, y) (0,3h). At height 2h, the particle enters a uniform electric field of magnitude E pointing in the negative r direction. The magnitude of the force on the particle due to the electric field is qE. The particle exits the electric field at height h. A cup is placed at position...
1. A particle of mass m and charge q is dropped from height of 3h above the ground. The particle starts from rest and its starting position is (x, y) = (0, 3h). At height 2h, the particle enters a uniform electric field of magnitude E pointing in the negative x direction. The magnitude of the force on the particle due to the electric field is qE. The particle exits the electric field at height h. A cup is placed...
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10) A ball is dropped from height H and accelerates downward with acceleration g. In terms of H and g, solve for the time it takes to hit the ground. 15) A particle is moving in a straight line with constant a cceleration a. Derive a general equation for velocity v at position x in terms of initial velocity vo, initial position x0, and acceleration a.
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3. (20 pts) A particle of mass m and charge q is in a one dimensional harmonic oscillator potential ()1ma'. A time dependent uniform electric field E, ()E, os eris 2 applied in the x direction. The particle is in the harmonic oscillator ground state at time a) What is the time dependent perturbation Hamiltonian H'(t) - the potential enegy of the charge in this electric field? b) Find the amplitude ci(t) of finding the particle...
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(a) Show that the Hamiltonian for the quantum harmonic oscillator problem, 1 A = 5 mw?22 Ø 2 2m can be expressed solely in terms of the lowering and raising operators and constants. The lowering and raising operators are: 1 ( . mw2 -Ê + ſhw J2m Ô and ma2 â 1 Vhw • evento). 2 2m (Hint: If I were doing this problem, I...
1) Find how long it will take a particle of mass m and charge q (initially at rest) to reach a grounded plate at a distance d. Hint: Use method of image charges (see notes) to find the force pulling the particle to the plate. What is that time in seconds if the particle is an electron and the grounded plate is at a distance d-lcm.
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Question 1 (20 Marks) A builder tosses a broken hammer to the ground. Determine the minimum magnitude v, of horizontal velocity is required to just miss the roof corner at B and also the distance d. -2.4 m 0 1.2 m 0.9 m 3 m
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A mass, m, is attached to a massless string of length l; the other end of the string is attached to a rigid and frictionless support. While keeping the string taut, the mass is raised to a height h (see diagram) and released. Under the force of gravity (g = 9.8 m/s), the motion of the mass follows the dashed line (i.e., it's a pendulum). (a) Draw...
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003 (part 1 of 2) 10.0 points Two charged particles of equal magnitude (+Q and -) are fixed at opposite corners of a square lying in a plane. A test charge -q is placed at a third corner. What is the direction of the force on the test charge due to the two other charges? 1. 2. 3 4. 5. 6. 8. 004 (part 2 of 2) 10.0 points Let...