Answer:
93.4 kg
Explanation:
Draw a free body diagram. There are three four forces:
Weight force mg pulling down,
Normal force N pushing up,
Friction force Nμ pushing left,
Applied force F pulling up and to the right, 30.0° above the horizontal.
Sum of forces in the y direction:
∑F = ma
N + F sin 30.0° − mg = 0
N = mg − ½ F
Sum of forces in the x direction:
∑F = ma
F cos 30.0° − Nμ = 0
½√3 F = Nμ
Substitute:
½√3 F = (mg − ½ F) μ
½√3 F / μ = mg − ½ F
½√3 F / μ + ½ F = mg
½F (√3 / μ + 1) = mg
m = F (√3 / μ + 1) / (2g)
Plug in values:
m = 410 N (√3 / 0.500 + 1) / (2 × 9.8 m/s²)
m = 93.4 kg
To solve the problem it is necessary to have the concepts of the magnetic field in a toroid.
A magnetic field is a vector field that describes the magnetic influence of electric charges in relative motion and magnetized materials.
By definition the magnetic field is given by the equation,

Where,
= Permeability constant
N = Number of loops
I = Current
r = Radius
According to the given data we have that the length is 120mm and the thickness of the copper wire is 4.82mm.
In this way the number of turns N would be


On the other hand to find the internal radius, we know that:



Therefore the total diameter of the soda would be

Applying the concept related to magnetic field you have to for the internal part:



The smallest magnetic field would be on the outside given by,



<em>Therefore the maximum magnetic field is 0.06T.</em>
The area of this triangle can be calculated using herons formula since th three sides are given. It is expressed as:
A=sqrt( s(s-a)(s-b)(s-c))
where s is equal to a+b+c / 2
s=15 +20 +25 /2=30
A=sqrt( 30(30-15)(30-20)(30-25))
A= 150 cm^3