The aerodynamics of a blimp in air are to be tested in a geometrically similar small scale model in a laboratory water tunnel. The model scale is 10:1, the kinematic viscosity of air is 1.46*10-5 m2/s, and the kinematic viscosity of water 1.12*10-6 m2/s. if the prototype is to be tested at a speed of 10 m/s, what speed should the model be tested in water for similitude

Aparticle of mass m is projected with an initial velocity v0 in a direction making an angle α with the horizontal level ground as shown in the figure. the motion of the particle occurs under a uniform gravitational field g pointing downward. (a) write down the lagrangian of the system by using the cartesian coordinates (x, y). (b) is there any cyclic coordinate(s). if so, interpret it (them) physically. (c) find the euler-lagrange equations. find at least one constant of motion. (d) solve the differential equation in part (c) and obtain x and y coordinates of the projectile as a function of time. (e) construct the hamiltonian of the system, h, and write down the hamilton’s equations (canonical equations) of motion.

In positive numbers less than 1, the zeros between the decimal point and a non-zero number are blank significant

Henry, whose mass is 95 kg, stands on a bathroom scale in an elevator. the scale reads 830 n for the first 2.4 s after the elevator starts moving, then 930 n for the next 2.4 s. part a what is the elevator's speed 4.8 s after starting? express your answer with the appropriate units.