Question

please show me a sep wise solution for these problem as i am trying to learn from your solution. if you cant or you answer partially dont answer please.

Problem 1 (20 pts): A scuba diver and her gear displace a volume of 80.0 L and have a total mass of 65.0 kg. a) What fraction of her volume is displaced when she enters the water and is in equilibrium? Note that the density of sea water is 1.025 x 10 kg/m b) Briefly, but thoroughly, explain why the diver will float on the top of the water. Include any calculations needed to support your case c) How much additional mass in lead weights would the diver have to add to her diving belt in order to sink to the bottom of the ocean? Take into account the volume of the lead weights and note that the density of ead is 1.13x 10 kg/m2. Give the mass in kg

Answer 1

Let she displaces volume V force F_B = S_w Vg In equilibrium F_B = weight 1025 times V times g = 65g V = 0.0634 m^3 = 63.4 lt fraction = 63.4/80 = 0.79 force on = S_w times 80 times g times 10^-3 = 1025 times 80 times 10^-3 times g = 82 g Weight = 65 g F_B > Weight so she will float. Let m kg lead is taken volume of lead = m/11.3 Lt F_B = w 1025 times (80 + m/11.3) times 10^-3 times g = (65 + m) g 82 + 0.0907 m = 65 + m m = 18.69 kg