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Prove that, given two angular momenta, L and S, their sum J = L+ S satisfies the commutation relations of the angular momentum (and therefore has the all the general properties of an angular momentum, e.g., the ladder structure, etc.).
When a-particles with energy of 5MeV are scattered on a thin gold foil, it is found that 10,000 a-particles are scattered at an angle greater than 50o, How many will be scattered between 70o and 80o
A baseball (m = 149 g) approaches a bat horizontally at a speed of 42.6 m/s (95 mi/h) and is hit straight back at a speed of 47.1 m/s (105 mi/h). compute the average force exerted on the ball by the bat
In a certain binary-star system, each star has the same mass which is 6.0 times of that of the Sun, and they revolve about their center of mass. What is their period of revolution in years
Three boxes are being accelerated on a horizontal table with a 60-N force applied to box 1 at an angle 35o below the horizontal. What is the acceleration of the three boxes
Let's build a helium atom. Start with a nucleus with 2 protons and 2 neutrons, Calculate the energy gained by the system constructing this atom
You have a wire with a current that points upwards. If you put a compass east of that wire, how would the magnitude and direction of the total magnetic field change
A person pulls a toboggan for a distance of 39.7 m along the snow with a rope directed 33.0 ° above the snow. How much work is done on the toboggan by the tension force
Two long parallel wires carry currents of 2.71 A and 5.93 A. Find the separation distance of the wires
A garden has a circular path of radius 50{\rm m} . John starts at the easternmost point on this path, What is the magnitude of John's displacement
A machine shop grinding wheel accelerates from rest with a constant angular acceleration of 2.8rad/s2 for 7.6s, Find the total number of revolutions turned
q1. a roller coaster 305 kg moves from a 5.00 m above the ground to b 23.0 m above the ground two non conservative
The wheel weighs 70 kg, and is 120 cm in diameter. you mount the wheel by its central axis, What is the angular velocity of the wheel at the end of the fall
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