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A Hamiltonian of one degree of freedom has the form with a,b,and k areconstant.\(H=p^2/2\alpha-bqpEXP-\alpha t+(ba/2)q^2EXP-\alpha t(\alpha+bEXP-\alpha t)+kq^2/2\)(a) Find the Lagrangian corresponding to the Hamiltonian.(b) Find an equivalent Lagrangian that does not depend on time.(c) What isHamilton corresponding to this second Lagrangian? What is the relation between the two Hamiltonians?
at a steady laminar flow through a tube of radius of 1cm the volume flow rate is 30 liters of water during 1 minute.
An electron is placed between two parallel plates that are separated by 2.2 cm and have a potential difference of 1000 V between them. What is the acceleration of the electron
An express train passes through a station. It enters with an initial velocity of 22.0 m/s and decelerates at a rate of 0.150 m/s2 as it goes through. How fast is it going when the nose leaves the station
A 0.267 T magnetic ?eld in a mass spectrometer causes an isotope of sodium to move in a circular path with a radius of 0.068 m. what is the isotope's mass
A man weighing 720 N lies on a bed of nails. Calculate the pressure exerted on the skin by an acupuncture needle of radius 0.100 mm applied with a force of 5.20 N
a hoop of mass M=2 kg and radius R=0.4 m rolls without slipping down a hill. what is the speed Vfinal at the bottom of the hill
A thin lens has a focal length of 10.00 cm for red light. If the index of refraction for the lens material tends to decrease with increasing wavelength
During a lunar eclipse, the moon, earth, and sun all lie on the same line, with the earth between the moon and the sun. calculate the centripetal acceleration of the moon
A horizontal pipeline carries 10,125 m^3 of oil every hour. Along the pipeline where the radius is 60 cm, the oil pressure is 170 kpa. The density of the oil is 800 kg/m^3. What is the oil's speed in the pipeline where the radius is 60 cm? What is th..
A young girl with mass 35.5kg is sliding on a horizontal, frictionless surface with an initial momentum that is due east and that has magnitude 86.0kg?m/s, How much work has been done on the girl by the force in the time interval from t= 0s to the ..
In order to view the craters of the Moon, you construct a refracting telescope from a lens with focal length 92.3 cm as its objective and a 14.3-cm focal length lens as its eyepiece
A weight lifter raises a 1181 N weight a vertical distance of 2.10 m in a time interval of 2.25 s. Compute the power provided by the weight lifter's force
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