Answer:
see explanation
Explanation:
Given quantities:
radius = r = 0.0558 [m]
current = I = 0.23 [A]
Now we solve this by obtaining the torque acting on the dipole
We obtain the magnetic moment vector M, first, |M| is defined as , where A is the cross-section area of the loop which is
then
now the magnetic moment vector is equal to the magnetic dipole moment vector multiplied the magnitude we just obtained
Now:
a )
b)
a) the determinant gives us:
b) the dot product gives =
8) The height of the shelf is 2.04 m
9) The gravitational potential energy is 100 J
Explanation:
8)
The gravitational potential energy of an object is given by:
where
m is the mass of the object
g is the acceleration of gravity
h is the heigth of the object, relative to the ground
For the object in this problem, we have
m = 10 kg
And we know that
PE = 200 J
Therefore we can re-arrange the formula to solve for h, the heigth of the object:
9)
As before, the gravitational potential energy of the object is given by:
where in this case, we have:
m = 10 kg is the mass of the object
h = 2.04 m is the height of the object from the ground
While in this case, the acceleration of gravity on this planet is
Substituting,
Learn more about potential energy:
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