Recent content by Will1119

This can be accounted for by having an initial condition that allows for the initial volume of the fluid to have the same mass of the cart. i.e. if it said "the initial mass of the cart and water at time 0 is 100 lbs..." you could set Vo = 100lbs/(density of water). We treat the IC as cart of...

this is exactly where I am stuck. If i try to integrate V the expression involves an integral of k, V(t) = Vo + A ∫(0 to t) k dτ but I don't see how that helps. I did try doing something along the lines of V'' = A k' k' =V''/A , k' = -A k2 /V V''/A = -A k2 /V V'' = -A2k2/V V * V'' = V'2...

I used a conservation of mass approach (we are covering the momentum tensor in my continuum mechanics class right now and I am quite sure this is the approach eh wanted us to use). The conservation of mass only plays a role since the mass of the cart varies with time.

I'm new here, updated the post

This is a problem for a fluid dynamics class I'm in. My current approach is to use a conservation of mass approach and say that the d/dt(momentum in the cart) = momentum into the cart. This leads to (u is speed of the cart, V is volume J is jet velocity, A is cross sectional area of the jet)...