How Do You Classify Materials Based on Magnetic Susceptibility?

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Magnetic susceptibility values are used to classify materials into ferromagnets, paramagnets, and diamagnets based on their magnetic properties. Ferromagnetic materials have a susceptibility greater than zero and a magnetic permeability much greater than one, as seen in cold rolled steel and Monimax. Paramagnetic materials also have positive susceptibility but with lower permeability, exemplified by liquid oxygen and manganese. Diamagnetic materials exhibit negative susceptibility, with ice and helium as examples, while helium is noted for its superconducting properties. It is advised to verify classifications, especially for chromium and manganese, which may have different magnetic behaviors than initially assumed.
Max Eilerson
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Hi,

I'm just given the magnetic susceptibiliy of materails \chi, for which I'm supposed to identify what class of magnetic materail they belong too. Some basic rules are listed in the notes.

Ferromagnets \chi > 0, u >> 1

cold rolled steel 2250
Monimax 669


Paramagnets \chi > 0, u > 1

Oxygen (liquid at -219 C) 3.9E-4
Manganese 1.0E-6
Chorium 4.5E-6

Diamagnet (\chi < 0, u < 1

Ice - 8.1E-6 (I know ice XI is ferrielectric)
Helium - 0.58E-6

However I looked on wiki and it appears Chormium is antiferromagnetic and manganese is non-magnetic. I'm fairly sure sure helium is a superconductor. This is question 1, on an easy work sheet so I'm not sure what to answer.
 
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From the values you have provided, it looks like cold rolled steel and Monimax are ferromagnets, Oxygen is a paramagnet, Ice is a diamagnet, and Helium is a superconductor. However, since you have noted that Chrome is antiferromagnetic and Manganese is non-magnetic, it would be best to double check with other sources before making your final decision.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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