Purchase Solution

Tension, Work and Energy Consumption

Not what you're looking for?

Ask Custom Question

1. A 200 lb metal object is suspended in a liquid with a specific gravity of 1.6. The metal object has a weight density of 150 lb/ft^3. If the object is only 3/4 submerged, what is the tension in the support cable?

2. A vertical cylinder is closed by a freely moving piston at its top. The piston has a mass of 5 kg and an area of 300cm^2. Atmospheric pressure is 1X10^5Pa. As the gas is heated, the piston rises 8cm. How much work did the gas do during the expansion?

3. A certain steam engine has an output of 500 hp and its efficiency in the use of fuel is 14%. It burns fuel oil that has a heat of combustion of 10,000 cal/g. How many kg of oil does the engine consume each hour?

Purchase this Solution
Solution Summary

This complete solution provides formula, calculations, answers and explanations. 544 words.

Solution Preview

1. A 200 lb metal object is suspended in a liquid with a specific gravity of 1.6. The metal object has a weight density of 150 lb/ft^3. If the object is only 3/4 submerged, what is the tension in the support cable?
First we need the volume of the metal object which is its weight divided by the weight density and that is 200 lb/150 lb/ft^3 = 1 1/3 ft^3 The object only displaces 3/4 of its volume as it is only 3/4 submerged. Therefore the volume displaced by the object is (3/4)(4/3) = 1 ft^3. That was nice of the questioner!

Now the buoyant force equals the weight of the liquid displaced and we have a specific gravity for that liquid of 1.6 grams/cc. Lets convert the volume displaced into cubic centimeters:
1 cubic foot = 2.832 x 10^4 cc The mass of the liquid displaced is then 2.832 x10^4 cc x (1.6 g/cc)
4.5312 x10^4 g or 45.312 Kg The ...

Purchase this Solution
Free BrainMass Quizzes
Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

Basic Physics

This quiz will test your knowledge about basic Physics.

Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

View More Free Quizzes
Related BrainMass Solutions

  • Tension, work done and increase in internal energy

    40127 Tension, work done and increase in internal energy A sledge loaded with bricks has a total mass of 18.0 kg and is pulled at constant speed by a rope.

  • Angular momentum of a ball constrained to move on a table

    Find also the tension in the string when its length is r, and verify that the increase in kinetic energy is equal to the work done by the force pulling the string through the hole.

  • Swing - Potential energy, speed etc.

    Work done is given by W = FS cosα where F is the force and S is the displacement and α is the angle between the two vectors. Here, α = 90O. As cos90O is zero, work done by tension T is zero.

  • Work done by forces and work-energy theorem

    How much work is done by b) the tension in the cable and c) the person's weight d) using the work and energy theorem, what is the final speed of the person? Please see the detailed solution in the attached file.

  • Energy of pulse on a string

    You should work these out by calculating the partial derivatives in (1) and (2).

  • angular velocity of the particle and work done

    First find the tension on the string. For the circular motion, the tension is the centripetal force The work done is then (c)Compare your answer with part (b) with the particles gain in kinetic energy.

  • Block sliding down frictionless plane at an angle

    Solve the problem twice, once using work and energy and again using Newton's laws and constant acceleration kinematics. Please solve numerically to find the answer. Please show all work for both ways of solving. Thanks. See attached file.

  • Comparison of Chemicals/Compound Properties

    Bottled water is usually safe for consumption if purchased from reputable markets and if the bottles are sealed.

  • Mechanics: Atwood Machine

    = - 21.9 J [-ve work implies the force (weight) and displacement are in opposite directions] Net work done by gravity on the system = 19.8 - 21.9 = - 2.1 J Work done by the system against gravity Work done by system (tension in the string)

View More Related Solutions