- #1
physicss
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- Homework Statement
- Hello, I had to calculate ∆r and ∆Theta,phi. Is the answer on the second picture correct?
- Relevant Equations
- ∆r, ∆Theta,phi
Laplace operator in spherical coordinates
- Thread starter physicss
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- Laplace
- #2
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It's not clear which is the first and which is the second picture. You can find all you need here
https://en.wikipedia.org/wiki/Del_in_cylindrical_and_spherical_coordinates
Please don't post pictures sideways. They are hard to read. Thanks.
https://en.wikipedia.org/wiki/Del_in_cylindrical_and_spherical_coordinates
Please don't post pictures sideways. They are hard to read. Thanks.
Neglect gravity other than that of water; neglect friction.
F1=ρgsh=1000*10*1*(1+4)=50000 N;
F1=ρgsh=1000*10*0.1*4=4000 N;
F3=50000-4000=46000 N?
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}...
I was told forces are vectors so they can be divided into x and y components, but what about the normal force or the force of static friction? do you divide those into x and y components if say you had a block that was lying on an angled surface?
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