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A water jet (Aj and Vj) is hitting the surface of a cart with the initial weight of M0. The surface of the cart has a hole with the area of Ah. Determine the velocity of the cart as a function of time. What ratio of Ah / Aj results in the fastest acceleration of the cart?
9/: then the Jacobian of the transformation J(u, v) in 2. Ifs= vj and v= (A) 2u/v (B) tua (D) 0
Problem 6. Suppose Vj = 0 , 02 = 0 02) = 0 Consider the subset W of R$ consisting of all vectors w for which w.vi) ( w (a) Show that W is closed under scalar multiplication, (b) Show that W is not a subspace of R.
Let J = (xy, (x - y)x). Describe V(J) and show that Vj = (x).
A 23-cm-diameter horizontal water jet with a speed of Vj = 20 m/s relative to the ground is deflected by a 40° cone moving to the left at Vc = 10 m/s. Determine the external force, F, needed to maintain the motion of the cone. Disregard the gravity and surface shear effects, and assume that the cross-sectional area of the water jet normal to the direction of motion remains constant throughout the flow. Take the density of water to be...
A two-dimensional unsteady flow with velocity V = ui + vj has the velocity component u = 1, v = cos(t) Derive the pathline y(x) of the fluid particle that goes through point (0, 0) at t = 0 (the final expression for y should be a function of x only). Sketch the result.
A two-dimensional unsteady flow with velocity V = ui + vj has the velocity component u = 1, v = cos(t) 1. Derive the streamline y(x) that goes through point (0, 0) at time t = 0 (the final expression for y should be a function of x only). Sketch the result. 2. Derive the pathline y(x) of the fluid particle that goes through point (0, 0) at t = 0 (the final expression for y should be a function...
please help with F,g,H , thank you!
VJ A tal tire has a recommended rating of 2.518 atm. While parked, the tire has at the temperature on 11.0°C, inflated to a volume of 10.4 L and with a pressure of 2.109 atm. When driving on a hot day, the tire warms to 62.0 Cand its volume expands to 10.9 L Pau a) Assuming there are the same molecules in the tire (n is constant) Does the pressure in the 11...
3) Consider a reverse biased PN junction. Let the applied bias change from Vj to Vp + SV. Where is the charge 8Q added in response to SV? What is the formula for this voltage tunable capacitance in terms of the PN junction parameters (doping, built-in voltage, applied voltage etc)? Discuss one application of this voltage tunable capacitor.
Problem 2 Ul Consider twovectors, v and u , where Vj,Uj are complex U2 numbers a. Find the conditions that ensure normalization for each of these vectors b. Write down explicitly the tensor product v&u as a four-component vector c. Consider a square matrix A acting on v and a square matrix B acting on u, show that (AS>B) (v u)-Au Bu Using Dirac notation for the vectors: v- |v), u-|u) d. Write down the normalization condition for each vector...