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An electron accelerated by the potential difference U = 103V enters into a magnetic field

An electron accelerated by the potential difference U = 10^3V enters into a magnetic field

is perpendicular to its direction of motion. Inductive

B = 1,19.10^-3T

. Find:

a. The curvature radius of the ellectic orbit

B T 1,19.10

. Find:

a. The curvature radius of the ellectic orbit



The Riccati equation is a nonlinear differential equation that is of considerable importance in particle dynamics. By use of a change of the dependent variable y = -[1/P(x)]dz/dx, show that the Riccati differential equation becomes the one below on the ending point. Notice that the resulting transformation is a second-order linear differential equation.


Starting point:

(dy/dx) =P(x) y^2 +Q(x) y +R(x)


Ending point:

(d^2z/dx^2)-(Q+(1/p)(dp/dx) ) dz/dx +PRz=0


A cliff is 20m above the ground. A boy rolls a ball off the edge with an unknown initial velocity, and its strikes the ground 3m horizontally away. Calculate the initial velocity of the ball 


a spring with a spring constant of 18.0 N/cm has attached to its free end .How much work does the spring force do on the cage when the spring is stretched from its relaxed length by (N+7.6)mm?


  1. A 30 kg child stands in an elevator that is accelerating upward at a rate of 1.5 m/s2.

Draw a free body diagram for the child.













Calculate the net force acting on the child.













Calculate the force between the child and the floor of the elevator.












When the climber moves up the cliff, the climber

gains what gravitational energy


Margie is trying to prove her cardio endurance by performing an exercise in which the alternate walking and running 100.0 M each if Marjories walking at a 1.4 MS and a salaries are you .20 MS squared during one of the running portions what is her final velocity at the end of one point and run your house or to the nearest 10th


An electron moving in a magnetic field induces the magnetic B =

5.10-3T, in the direction that matches the unidirectional magnetic field line α = 60o

. Energy of

electron is equal to W = 1.64.10-16J. In this case


A circular wire frame consists of 24 turns of wire, each ring of wire


has a current of 0.5A running through. According to calculations, the magnetic induction in


wire frame center is 6,3.10-5T. But when measuring, the magnetic induction


in the heart only 4.18.10-5T.


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