Name________________________               

                                

Sp10

 

3.  An empty box in the shape of a cube is completely submerged under water. The exterior side of the box has length L = 1.00 m as shown in Figure 1. The mass of the box is M = 60.0 kg. Assume the density of water is 1.000x10 3 kg/m3.
(a)(15 points) Does the box sink or rise ? Show all work to prove your answer!
(b)(15 points) What is the magnitude a of the acceleration of the box?
(c) (10 points) Suppose a lead block of mass m = 75.0 kg is placed inside the
empty box. See Figure 2. What is the magnitude and direction (up or down) of the acceleration of the box?








    

             

 

 

4.  (30 points) A 3.00 cm diameter garden hose is used to fill a round hot tub 1.0 m in diameter. How long will it take (in seconds)  to fill the tub to a depth of 1.2 m if the water flows from the hose at a speed of 0.40 m/s?