A rectangular parallelepiped with a square base \( d = 0.255 \, \text{m} \) on a side and a height \( h = 0.120 \, \text{m} \) has a mass \( m = 6.00 \, \text{kg} \). While this object is floating in water, oil with a mass density \( \rho_o = 710 \, \text{kg/m}^3 \) is carefully poured on top of the water until the situation looks like that shown in the figure. Determine the height of the parallelepiped in the water.**Diagram Explanation:**The diagram shows a beaker with two liquids and a floating rectangular object:- The lower portion of the beaker is filled with water, represented in blue.- The upper portion is filled with oil, represented in a lighter shade.- A rectangular block (parallelepiped) is floating partially submerged in both liquids.- Dimensions are labeled on the block: - Side \( d \) corresponds to the width of the square base. - Heights are marked as \( h_o \) for the portion in oil and \( h_w \) for the portion in water.

ho = h - hw = 0.12 - hw Now, bouyant force will balance the weight

rectangular parallelépiped with a square base d= 0.255 m on a side and a helghth = 0.120 m has a mass m = 6.00 kg. While this object is floating in water, oil with a mass density P. = 710 kg/m is carefully poured on top of the water until the situation looks like that shown in the figure. Determine the height of the parallelepiped In the water. m. oil water

rectangular parallelépiped with a square base d= 0.255 m on a side and a helghth = 0.120 m has a mass m = 6.00 kg. While this object is floating in water, oil with a mass density P. = 710 kg/m is carefully poured on top of the water until the situation looks like that shown in the figure. Determine the height of the parallelepiped In the water. m. oil water

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

An incompressible box is completely submerged in water at a depth of 60m. The volume of the box is 8L and it has a mass of 30 kg. The buoyant force on the box is 70N.. If the box is brought to a depth of 90m, stae what the mass of the box ,volume of the box and buoyant force on the box will be? Choose one correct answer with the correct units of measure. A. Mass = 70kg Volume = 8L Buoyant force = 30N B. Mass = 30kg Volume = 8 m3 Bouyant force = 70 pound C. Mass = 30kg volume = 8L Buoyant force =70N D. Mass = 8 kg Volume = 30L Buoyant force = 70N
Object of 150g mass displaced 20 ml water. Water density is 1g/cm3. What is the apparent weight when the object is fully submerged?
The gravitational force exerted on a solid object is 5.25 N as measured when the object is suspended from a spring scale as in Figure a. When the suspended object is submerged in water, the scale reads 3.80 N (Figure b). Find the density of the object. kg/m³ Scale b TA B Mg T₂
2- Consider a U-tube filled with mercury as shown in Figure. The diameter of the right arm of the U-tube is D 1.5 cm, and the diameter of the left arm is twice that. Heavy oil with a specific gravity of 2.72 is poured into the left arm, forcing some mercury from the left arm into the right one. Determine the maximum amount of oil that can be added into the left arm. Answer: 0.0884 L Oil poured in here SG=2.72 2D 12 cm D= 1.5 cm Mercury SG= 13.6
Needs Complete solution with 100 % accuracy.
Which of the following is NOT true for a ship floating in seawater? a. The buoyant force is equal to the weight of the ship. b. The buoyant force is greater than the weight of the ship. c. The weight of the displaced water is equal to the weight of the ship. d. The buoyant force is equal to the weight of the water displaced by the ship.
A glass container weighing 4 N has of water and a 1 N block of styrofoam (100 kg/m3) that is held underwater by a rope. The rope is cut. 1. What is the acceleration of the block? (ignore friction). 2. What happens to the water level?
Vb = D A D Vmax = m³ c) What is the depth D below the waterline? W max = b) What is the volume of water displaced when the barge is empty? This will be in terms of D. m h Water. line m³ 1) A flat bottomed barge in the water has a base with area A 4000 m². The height, h, of the barge is 2 m. and the distance D is the depth of the barge below the i water line. The mass of the barge when empty is m, = 1,000,000 kg. N a) What is the weight of the empty barge? 9,800,000 mg = 1,000,000 (9.8) W₁ = The theoretical maximum mass of the barge, including its load, will be when the top of the barge is at the water level. d) What is the maximum volume of water displaced, and the mass of this much water? e) What is the theoretical maximum weight of the barge? N Illmax = - 16 hour!! (3) kg 525555, 004 Hae ad 11.
The gravitational force exerted on a solid object is 5.50 N as measured when the object is suspended from a spring scale as in Figure a. When the suspended object is submerged in water, the scale reads 3.44 N (Figure b). Find the density of the object. kg/m3 Scale