How many tons of cargo can a 170 m3 cargo ship carry without sinking while 10 tons is empty? (Sea water density is 1050 kg / m3, gravitational acceleration is 9.81 m / s2)

In the hydrostatic case shown in the following figure, a = 6 ft and c = 4 ft. Thespecific gravities of oil, mercury, and water are so = 0.8, sm = 13.6, and sw = 1.0. Pressurevariations in the air are negligible. What is the difference b in inches between the mercury levels?

: You are abducted by aliens and find yourself locked in a large room on some strangeplanet. To pass the time, you decide to do some experiments using a ball-and-chain thatyou find on the floor. You make the following estimates:mBALL  7 kg ,mCHAIN  0.5 kg, and CHAIN  2 m .(a) When you hold the free end of the chain above your head and allow the ball to swinglike a pendulum, you use your wristwatch to measure the period asT  4 s. What is theacceleration due to gravity on this planet?(b) If the ball accidentally hits a wall, how long does it take for this jolt in the chain totravel up to your hand?

For a liquid with the contact angle of 53.6 degrees and surface tension of 0.075 N/m, capillary rise is 2.50 m. What is the expected capillary rise in meters if the liquid is replaced with another with a contact angle of 12.7 degrees and a similar surface tension? (answer should be accurate to 2 decimal places) Answer: