Problem 4 Water is flowing in a pipe with varying cross-sectional area. At the point A, where the cross
sectional area of the pipe is 0.0700 m2
, the velocity of the water is 3.50 m/s. Compute:
a) The speed of the water at point B, where the cross-sectional area of the pipe is 0.105
m2
;
b) The speed of the water at point C, where the cross-sectional area of the pipe is 0.0470
m2
;
c) The rate at which water flows in the pipe (in m3/s);
d) If point B is 10.0 m below point C, what is the difference in pressure between point B
and point C?

Describe the path of a ray that approaches a mirror parallel to the principal axis.

What object a collides with object b and bounces back its final momentum is?

Consider a double atwood machine constructed as follows: a mass 4m is suspended from a string that passes over a massless pulley on frictionless bearings. the other end of this string supports a second similar pulley, over which passes a second string supporting a mass of 3m at one end and m at the other. using two suitable generalized coordinates, set up the lagrangian and use the lagrange equations to find the acceleration of the mass 4m when the system is released. explain why the top pulley rotates even though it carries equal weights on each side.