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A particle moves in the xy plane under the constraint that its velocity vector is always directed toward a point on the x axis whose abscissa is some given function of time f(t). Show that for f(t) differentiable, but otherwise arbitrary, the constraint is nonholonomic.
A molecule of DNA (deoxyribonucleic acid) is 2.33 µm long. The ends of the molecule become singly ionized: negative on one end, positive on the other. Determine the effective spring constant of the molecule
State the order in which the following possible stages of a star occur: main-sequence star, planetary nebula, white dwarf, protostar, red giant. What is the difference between a nova and a supernova?
An object of mass 5 kg is moving with a momentum of 50 kg m/s. What is the objects speed? What is the objects kinetic energy
By what percent must one increase the tension in a guitar string to change speed of waves on the string from 327 m/s to 376 m/s.
An electron moves at a speed of v = 3 x 107 m/s parallel to and a distance d = 10 cm from a conducting wire carrying a current of I = 40 A. If the directions of the electron and current are as shown in the figure, what is the magnitude (in N) and ..
A 53.0 kg cheerleader uses an oil-filled hydraulic lift to hold four 130 kg football players at a height of 1.30m. what is the diameter of the football players' piston
a rod has resistance r and is placed on parallel rails with negligible resistance within a magnetic field directed
A beam of light originates from point P in a 3 mm thick glass block. It undergoes total internal reflection at point Q and strikes point R a distance d=5.4mm. If the glass block is in air, what is the glass' index of refraction?
In the process of electrolysis.... as it is that charges move from negative to positive terminal... and that the cathode is the negative terminal.... so according to me the metal should get deposited on the anode (negative to positive) then why does ..
A net force of 36N accelerates a 5.1-kg mass over a distance of 12 m. What is the increase in kinetic energy of the mass
an unusual spring has a restoring force of magnitude f 2.0 nm x 1.0 nm2 x2 where x is the stretch of the spring from
You're using a rope to pull a sled at constant velocity across level snow,with coefficient of kinetic friction 0.050 between sled and the snow. The sled is loaded with physics books, giving a total mass of 21 kg.
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