A naval mine is a sphere (V=4/3 ttr^3 ) of radius 0.5 m that would normally float in water (p_water=1000 kg/m^3 ) . The mine (p_mine=700 kg/m^3 ) is held under the surface by a cable that attaches it to the sea floor. a. Find the volume of the naval mine. b. Find the mass of the naval mine. c. Find the tension in the cable that holds the mine under the surface using Newton's Second Law.

A naval mine is a sphere (V=4/3 ttr^3 ) of radius 0.5 m that would normally float in water (p_water=1000 kg/m^3 ) . The mine (p_mine=700 kg/m^3 ) is held under the surface by a cable that attaches it to the sea floor. a. Find the volume of the naval mine. b. Find the mass of the naval mine. c. Find the tension in the cable that holds the mine under the surface using Newton's Second Law.

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

1) At any time, approximately 20 volcanoes are actively erupting on the Earth, and 50-70 volcanoes erupt each year. Over the past 100 years, an average of 850 people have died each year from volcano eruptions. As scientists and engineers study the mechanics of lava flow, accurately predicting the flow rate (velocity) of the lava is critical to saving lives after an eruption. Jeffrey's equation captures the relationship between flow rate and viscosity as: pgr sin(a) 3µ where p is the density of the lava, g is gravity, t is the flow thickness, a is the slope, and µ is the lava viscosity. Typical values are given as follows V = %3D Flow t=28 cm 10° for the flow rate: H= 4x10' kg/(m.s) +1% p= 2.5 g/cm +1% t= 28 cm +0.5 cm a= 10° +1 ° g= 9.81 m/s? Determine the likely maximum possible error in the calculated value of the flow rate.
A 100 mL beaker holds 120 g of liquid. What is the liquid’s density in SI units?
A 4.0-m^3 object floats in water with 25% of it above the waterline. What is the density of the object? a. 400 kg/m^3 b.1250 kg/m^3 c.750 kg/m^3 d.250 kg/m^3 e.100 kg/m^3
7.A slab of ice floats on a freshwater lake. What should be the minimum volume of the ice so that a 45-kg woman can stand on it without getting her feet wet? The density of ice is 920 kg/m³ and the density of freshwater is 1000 kg/m³. A. 0.563 m³ B. 1.563 m³ C. 2.563 m³ D. 3.563 m³
q23 The Thomson Reservoir is the biggest of Melbourne's fresh-water storages. What is the increase in water pressure (in kPa), compared to what it was at the water surface, as a diver descends down to a depth of 64.0 m? density of water = 1000 kg/m3 Patm = 101.3 kPa Enter the numerical value of your answer to the correct number of significant figures.
6. A solid cylinder (radius = 13.5 cm, height = 13.5 cm) has a mass of 6.57 kg. This cylinder is floating in water. Then oil (density height of the cylinder is in the oil? = 725 kg/m³3) is poured on top of the water until the situation shown in the drawing results. How much of the cm Cha741 na741 na74 A741 na741 na74 ha741 na741 na741% 1 na 741 na741 na741 na 741 na 741 na741 na741 na741 na741 na741 na74 na7 Oil Ina741 na741 na741 na Water na na741
A balloon inflated with helium gas (density = 0.2 kg/m3) has a volume of 4 × 10–3 m3. If the density of air is 1.29 kg/m3, what is the buoyant force exerted on the balloon? a. 0.43 N b. 0.08 N c. 0.051 N d. 0.0784 N
< The mass of a piece of ice is 0.850 kg. density of water = 1.00 x 103 kg/m³, and density of ice = 917 kg/m³. 2. What is the buoyant force on the ice floating freely in liquid water? Enter a positive answer if the buoyant force is upward and a negative answer if the buoyant force is downward. N Question 2 (of 8)
A huge plastic ball floats in oil. The weight of the ball is 45 N, and its volume is 10.0 m³. Poil = 850 kg/m³ and g = 10.0 m/s2. What is the volume of ball displaced by the oil, in m³? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. (No unit is needed in your answer, it is already given in the question statement.) ↳ A Moving to another question will save this response. do f5 -- 5 T G B f6 6 Y H f7 & 7 N ly U f8 * J 1 4+ 8 M fg IAA 9 K >> f10 O O L f11 V f12
A 16 cm diameter Styrofoam ball (p = 0.3 g/cm³) is released from the bottom of a tank filled with an unknown liquid. If the terminal speed of the ball is 1.66 m/s, what is the density of the liquid? The drag coefficient of the ball is 0.50. O 0.23 g/cm3 O 0.45 g/cm³ O0.88 g/cm3 O 0.18 g/cm3
5. Eileen is floating on her back in the beautiful blue Caribbean during her spring vacation. If Eileen’s density is 980 kg/m^3 and she has a volume of 0.060m^3, what is the buoyant force that supports her in the sea water of density 1025 kg/m^3? a. 580 N b. 600 N c. 560 N d. 550 N e. None of the above
A common way of salvaging cannons from old wrecks is to attach an inflatable balloon filed with air. Assume that the cannon is a solid cylinder of iron which is 1.30m long with a radius 17.3cm. The density of iron is 7.87g/cm^3. If an air bag were filled twice the volume necessary. a. What volume of air bag wil be floating above the water surface?