Along metal cylinder with radius a is supported on an insulating stand on the axis of a long, hollow, metal tube with radius b. the positive charge per unit length on the inner cylinder is l, and there is an equal negative charge per unit length on the outer cylinder. (a) calculate the potential v1r2 for (i) r 6 a; (ii) a 6 r 6 b; (iii) r 7 b. (hint: the net potential is the sum of the potentials due to the individual conductors.) take v = 0 at r = b.

Why does the input force have to be greater than the force needed to lift the bale?

An object with initial temperature 130 ∘ f is submerged in large tank of water whose temperature is 50 ∘ f . find a formula for f ( t ) , the temperature of the object after t minutes, if the cooling constant is k = − 0.2 . remember newton's law of cooling (the rate of change of temperature with respect to time is equal to k times the difference between the temperature of the object and the surrounding temperature) ! : )

An electron is ejected into a horizontal uniform e⃗ field at a parallel horizontal velocity of v0. assume the electron's initial position x0, initial velocity v0, time t, magnitude of electric field e, electron's mass m, and the magnitude of the electron's charge |e|. ignore the force that earth exerts on the electron. assume the e⃗ field is in the same direction as the initial velocity. part a define the equation for the electron's velocity. express your answer in terms of the variables v0, |e|, t, e, and m.