(Solved): 1. King Hieron II asked Archimedes to determine if the crown shown below is entirely made of gold o ...

1. King Hieron II asked Archimedes to determine if the crown shown below is entirely made of gold or not. Using the scale, the weight of the crown was measured to be (a) 8.00 N in air and (b) 7.50 N when it is fully submerged in water (b). Knowing that the density of gold is Pau = 19.3 x 10³ kg/m³, is the crown entirely made of gold or was it adulterated with a cheaper metal? Briefly explain why. (Note: Use g = 9.81 m/s²). FB T? T? We WB (a) (b) 2. Water is flowing in a pipe with a varying diameter, and at all points the water completely fills the pipe. At point 1, the diameter of the pipe is 15 cm, and the fluid speed is 1.20 m/s. What is the fluid speed in the pipe at points 2 and 3 where the diameters are (a) 11 cm and (b) 6.0 cm, respectively? (c) Calculate the volume of the water discharged from the open end of the pipe in 1.0 hour. ++++*+