The mass flow rate into a steam turbine is 1.5 kg/s, and the heat transfer from the turbine is 8.5 kW. The following data are known for the steam entering (i) and leaving (e) the turbine:

P_i = 2.0 MPa
T_i = 350C
V_i = 50 m/s
z_i = 6 m

P_e = 0.1 MPa
x_e = 100%
V_e = 200 m/s
z_e = 3 m (above the reference elevation with g = 9.8066 m/s^2)

Determine the power output of the turbine.

Find the magnetic field a distance r from the center of a long wire that has radius a and carries a uniform current per unit area j in the positive z direction.

It is really hard for me right know

Awater balloon launcher uses an elastic band with a spring constant of 115 n/m to use thee launcher you stretch thee band back with a balloon n it the water balloons have a mass of 1.3 kg a) if you stretch the band by 0.8 m, what elastic force will the band exert? b) with the band stretched 0.8 m, how much elastic potential energy is stored in the spring? c) if you release the band, it pushes forward. what is the kinetic energy of the balloon when it reaches the natural length of the band? d) what is the speed of the balloon when it reaches the natural length of the band?