Answer the following questions, no work is absolutely needed- just brief explanations.

Calculate the mass of a solid gold rectangular bar that has dimensions Iwh = 5.80 cm x 14.0 cm x 24.0 cm. (The density of gold is 19.3 x 103 kg/m3.) 37611840 3' Determine the volume of the gold bar and use the volume and the density of gold to find the mass of the bar. kg A normal blood pressure reading is less than 120/80 where both numbers are gauge pressures measured in millimeters of mercury (mmHg). What are the absolute and gauge pressures in pascals at the base of a 0.0940 m column of mercury? (The density of mercury is 9H9 = 13.6 x 103 kg/ma. Assume the system is at sea level.) HINT Absolute pressure varies with depth as P = P0 + pgh. Click the hint button again to remove this hint. (a) absolute pressure (Enter your answer to at least three significant gures.) Pa (b) gauge pressure (Enter your answer to at least two signicant gures.) Pa (a) A submersible vehicle is in a lake at a depth of 25.2 m. What is the absolute pressure (in Pa) at this depth? The density of the water in the lake is 1.00 x 103 kg/m3, and the air above is at a pressure of 101.3 kPa. Pa (b) The submersible vehicle has a circular window with a diameter of 38.0 cm. What force (in N) is exerted by the water on the window of the vehicle at the depth from part (a)? (Enter the magnitude.) N A hot-air balloon consists of a basket hanging beneath a large envelope filled with hot air. A typical hot-air balloon has a total mass of 559 kg, including passengers in its basket, and holds 2.62 x 103 m3 of hot air in its envelope. If the ambient air density is 1.24 kg/m3, determine the density (in kg/m3) of hot air inside the envelope when the balloon is neutrally buoyant. Neglect the volume of air displaced by the basket and passengers. HINT The balloon, completely submerged in the ambient air, is neutrally buoyant with zero net vertical force acting on it. Apply Newton's second law to the balloon, remembering to include the weight of the hot air inside the balloon. Click the hint button again to rel-nave this hint