Solve the following Engineering Problems using Python code:
1.) A piston/cylinder with a cross-sectional area of 0.01 m^2 is connected with a hydraulic
line to another piston/cylinder with a cross-sectional area of 0.05 m^2. Assume that both
chambers and the line are filled with hydraulic fluid of density 900 kg/m^3 and the larger
second piston/cylinder is 6mhigher up in elevation. The telescope armand the buckets have
hydraulic piston/cylinders moving them, With an outside atmospheric
pressure of 100 kPa and a net force of 25 kN on the smallest piston, what is the balancing
force on the second larger piston?
2.)
A car of mass 1100 kg drives with a velocity such that it has a kinetic energy of 400 kJ. Find the velocity. If the car is raised with a crane, how high should it be lifted in the standard gravitational field to have a potential energy that equals the kinetic energy?
3.)
A tank containing a fluid is stirred by a paddle wheel. The work input to the paddle wheel
is 5090 kJ. The heat transfer from the tank is 1500 kJ. Consider the tank and the fluid
inside a control surface and determine the change in internal energy of this control mass.
4.)
Consider a stone having a mass of 10 kg and a bucket containing 100 kg of liquid water.
Initially the stone is 10.2 m above the water, and the stone and the water are at the same
temperature, state 1. The stone then falls into the water.
Determine U, KE, PE, Q, and W for the following changes of state, assuming
standard gravitational acceleration of 9.806 65 m/s2.
a. The stone is about to enter the water, state 2.
b. The stone has just come to rest in the bucket, state 3.
c. Heat has been transferred to the surroundings in such an amount that the stone and
water are at the same temperature, T1, state 4.