The cart travelled a distance of 14.4 m
Explanation:
The work done by a force when pushing an object is given by:

where:
F is the magnitude of the force
d is the displacement
is the angle between the direction of the force and the displacement
In this problem we have:
W = 157 J is the work done on the cart
F = 10.9 N is the magnitude of the force
, assuming the force is applied parallel to the motion of the cart
Therefore we can solve for d to find the distance travelled by the cart:

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To solve this problem it is necessary to apply the concepts related to the magnetic field.
According to the information, the magnetic field INSIDE the plates is,

Where,
Permeability constant
Electromotive force
r = Radius
From this deduction we can verify that the distance is proportional to the field

Then the distance relationship would be given by




On the outside, however, it is defined by

Here the magnetic field is inversely proportional to the distance, that is

Then,




"Gauss's Law. The total of the electric flux out of a closed surface is equal to the charge enclosed divided by the permittivity. The electric flux through an area is defined as the electric field multiplied by the area of the surface projected in a plane perpendicular to the field. ," Source: <span>hyperphysics.phy-astr.gsu.edu/hbase/electric/gaulaw.html
If you would like more info please look at the website. Im only in middle school, so I am sorry if this is not what you were looking for.....</span>
Gamma-rays, the explanation and information is found in the image below.