What is Mechanical energy: Definition and 358 Discussions

In physical sciences, mechanical energy is the sum of potential energy and kinetic energy. It is the macroscopic energy associated with a system. The principle of conservation of mechanical energy states that if an isolated system is subject only to conservative forces, then the mechanical energy is constant. If an object moves in the opposite direction of a conservative net force, the potential energy will increase; and if the speed (not the velocity) of the object changes, the kinetic energy of the object also changes. In all real systems, however, nonconservative forces, such as frictional forces, will be present, but if they are of negligible magnitude, the mechanical energy changes little and its conservation is a useful approximation. In elastic collisions, the kinetic energy is conserved, but in inelastic collisions some mechanical energy may be converted into thermal energy. The equivalence between lost mechanical energy (dissipation) and an increase in temperature was discovered by James Prescott Joule.
Many devices are used to convert mechanical energy to or from other forms of energy, e.g. an electric motor converts electrical energy to mechanical energy, an electric generator converts mechanical energy into electrical energy and a heat engine converts heat energy to mechanical energy.

View More On Wikipedia.org
  1. J

    Maximum acceleration, frequency and mechanical energy of a spring

    1. When a 0.20-kg block is suspended from a vertically hanging spring, it stretches the spring from its original length of 0.050m to 0.060m. The same block is attached to the same spring and placed on a horizontal, friction-less surface. The block is then pulled so that the spring stretches to...
  2. H

    : Finding Mechanical Energy, Velocity, and Height

    URGENT: Finding Mechanical Energy, Velocity, and Height Homework Statement http://www.mrfizix.com/home/energy_files/image051.gifHomework Equations E0=EF PE=mgh KE=(1/2)mv2 The Attempt at a Solution I understand how to get the potential and kinetic energy values but I'm confused as to how to...
  3. V

    Relationship Between Kinetic Friction and Mechanical Energy

    Homework Statement Which of the following statements about friction is correct? I. Kinetic friction always decreases the mechanical energy of a system. II. The static friction force cannot change the mechanical energy of a system. III. The force of friction always points in the direction...
  4. S

    Questioning the law of conservation of mechanical energy

    I found something interesting in the law of conservation of mechanical energy related with rotational kinetic energy. The law states that: ME = KE(translational) + KE(rotational) + PE *ME = Mechanical Energy *KE = Kinetic Energy *PE = Potential Energy It was stated that the above law...
  5. A

    Calculating Mechanical Energy Lost to Friction on Ski Slope

    Homework Statement How much mechanical energy is lost to friction if a 58.1-kg skier slides down a ski slope at constant speed of 12.1 m/s? The slope is 122.3 m long and makes an angle of 10.3° with respect to the horizontal. Homework Equations Emec=KE+PE The Attempt at a Solution...
  6. G

    Releasing mechanical energy over time

    Is there a way to wind up a spring or coil to store mechanical energy and then release that energy slowly over a longer period of time instead of allowing the spring to release rapidly all at once?
  7. S

    Total Mechanical Energy Swing Problem

    A 30 kg child is playing on a swing. Another child is pushing. That second child does 75 J of work on the swing. Ignore friction. The swing has zero mass compared to the child on the swing. There is a diagram. So basically: Postion A Height = .6 m. Position B Height = .2 m and Postion Height C...
  8. S

    Total Mechanical Energy Problem

    The 120 kg roller coaster just makes it to the top of hill A that is 15 m above the ground. It moves forward, picking up speed towards location B which is only 3 m above the ground. What is the total energy of the roller coaster as it passes location B, C, and D? Note: the velocity at the top of...
  9. B

    Mechanical Energy in Bomb Blasts: Is it Conserved?

    in bomb blast is mechanical energy conserved or not if so then why?
  10. M

    Conservation of Linear, Rotational Mechanical Energy

    Homework Statement Attached is a photo of the linear and rotational dynamics exercises. Times t1 and t2 were measured. For the linear exercise the top block was pushed with an initial force along the FRICTIONLESS level plane. It passed the timing device twice. Once through and once on the way...
  11. B

    Percent of initial total mechanical energy lost during a round trip?

    Given: Mass= 5 kg Vo= 40 m/s Vf=50 m/s s=150 m Ho=0 Hf=50.2 m g=9.8 m/s/s friction=6.26 N θ=30° *You will probably not use all of these values* What percent of initial total mechanical energy is lost during the round trip? (a block (with mass m) going up an inclined plane, and...
  12. D

    Conservation of Mechanical Energy

    Homework Statement A 1.0 kg projectile is fired from a point on the Earth's surface at an angle θ = 45° with the horizontal and with an initial velocity v = 30 m/s. Neglect any effects due to air resistance and find: a) What is the kinetic energy of the projectile when it reaches the...
  13. K

    Mechanical Energy Staircase Problem

    Homework Statement Problem 1: A standard-sized and typically able college-age human walks into a building for an appointment on the 10th story. The elevator is broken. She walks up the 9 stories. Roughly speaking: (a) How much mechanical energy does she need to expend to climb those 9...
  14. nukeman

    Loss of mechanical energy due to friction - ?

    Loss of mechanical energy due to friction - ?? Homework Statement Here, ill post the problem as a picture below, so you have all the info. Homework Equations The Attempt at a Solution I am having trouble with a: Since I don't have to worry about angles, and that the...
  15. T

    Total Mechanical Energy: Mass or No Mass?

    Homework Statement In the diagram I have attached the initial question is to find the total mechanical energy. however in the solutions which I have placed under the diagram, they don't use the mass (m). So total mechanical energy i thought was = mgh + 0.5mv^{2} but they use gh + 0.5v^{2} . no...
  16. J

    Calculate Generator Mechanical Energy

    I have a huge generator 2.5MW and I need to calculate the mechanical energy (kinetic energy) it contains when it is running at rated speed (2975 R/min). How can I do that and I quantities do I need ? My goal is to relate how much electric energy the generator produces as depending on its...
  17. V

    Pendulums with Mechanical Energy (conical pendulum?)

    Homework Statement The pendulum bob in Figure 6.11 must circle the rod interrupting its swing, and the string must remain taut at the top of the swing. How far up must the bob be raised before releasing it to accomplish these goals? Homework Equations Potential Energy = mgh Kinetic...
  18. Femme_physics

    Conservation of mechanical energy (no friction) - doesn't work in this case?

    Conservation of mechanical energy (no friction) -- doesn't work in this case? Homework Statement http://img143.imageshack.us/img143/3181/springythingy.jpg In the drawing is described a lab device designed to eject balls upwards. The balls are ejected as a result from the spiral spring...
  19. Femme_physics

    Conservation of mechanical energy formula. What is x ?

    Conservation of mechanical energy formula. What is "x"? In this conversation of mechanical energy formula. What is x? http://img845.imageshack.us/img845/616/mgh.jpg
  20. N

    Question about mechanical energy and orbits

    I was watching something on elliptical orbits. Early on, I saw something that really bugged me and I can't continue until I figure out what it's about: Mechanical Energy = Kinetic Energy + Potential Energy I know that KE = 1/2*mv^2, which makes sense and I know why I know that PE = mgh =...
  21. S

    Force and mechanical energy

    Homework Statement A particle of mass m experiences a force \overrightarrow{F} = k (-x\hat{i} -y\hat{j} -z\hat{k}) Find values of x, y, z for which the mechanical energy E > 0. Homework Equations Conservation of mechanical energy \frac{1}{2}mv^2 + V = E = constant where \frac{1}{2}mv^2 is the...
  22. E

    Mechanical Energy of a Physical Pendulum

    http://img196.imageshack.us/i/unledup.png/ So we have a physical pendulum. It has a mass of m=200 g and radius 10 cm. It's suspended from point O at a distance h=8 cm. from center C. It is displaced 0.1 rad and released from rest at t=0. I'm struggling to find the mechanical energy of this...
  23. J

    Angular Velocity from Potential and Mechanical Energy of rotating rod

    Homework Statement I am asked to find the angular velocity of a falling rod in the instant that the rod meets the horizontal. The system is set up in this image: The only force acting on the rod is gravity Homework Equations U = (1/2)MgL K = (1/2)Iw2 Kf + Uf = Ki + Ui The...
  24. I

    Mechanical Energy: Where Does It Go?

    When a pendulum is let go from an elevated area, it will eventually stop swinging. But if this occurs then where had the mechanical energy gone to?
  25. S

    Question dealing with the conservation of mechanical energy.

    Homework Statement The drawing shows a skateboarder moving at 5.4 m/s along a horizontal section of a track that is slanted upward by 48° above the horizontal at its end, which is 0.40 m above the ground. When she leaves the track, she follows the characteristic path of projectile motion...
  26. M

    Weight on a pulley, torque, mechanical energy

    Homework Statement A block of mass (m1) is attached by a massless string to a pulley of mass (m2) with radius R. Starting from rest, what is the block's speed after it has fallen height h? Homework Equations I'll call angular velocity w. I'm thinking conservation of mechanical energy, so...
  27. S

    Mechanical Energy in a rotating system

    Let's consider a particle in a rotating coordinate system, bearing in mind that in classical mechanics, the description in a rotating coordinate system is just a kind of mathematical sleights, so it does not mean anything special in physical substance. First, we assume that the velocity of...
  28. N

    Change in Mechanical energy

    Homework Statement A 0.5 kg bead slides on a curved wire, starting from rest at point A. The segment from A to B is frictionless, and the segment from B to C is rough. The point A is at height 4.9 m and the point C is at height 1 m with respect to point B. The acceleration of gravity is...
  29. B

    How Do You Calculate Mechanical Energy Lost Due to Friction on a Slide?

    Homework Statement A 27.0 kg child slides down a long slide in a playground. She starts from rest at a height h1 of 17.00 m. When she is partway down the slide, at a height h2 of 7.00 m, she is moving at a speed of 7.50 m/s. Calculate the mechanical energy lost due to friction (as heat, etc.)...
  30. J

    Not sure if I'm understanding mechanical energy correctly?

    A .5 kg ball is thrown vertically upward with an initial speed of 8 m/s. If the initial potential energy is taken as zero, find the following: 1. potential energy of the ball at a height of 2 m above the initial position 2. the initial kinetic energy of the ball 3. the total mechanical...
  31. X

    Conservation of mechanical energy ?

    Conservation of mechanical energy ? A 0.80kg coconut is growing 10m above the ground in its palm tree. The tree is just at the edge of a cliff that is 15 meters tall. a>What would the maximum speed of the coconut be if it fell to theground beneath the tree? b>What would the maximum speed...
  32. S

    Mechanical energy of ball in water

    Homework Statement A 2.00 kg ball, initially traveling at 10.0m/s, falls straight down through 10.0m of water before (momentarily) stopping. By how much does its mechanical energy change?Homework Equations 1/2*mv2The Attempt at a Solution I thought I could just use the KE equation, but...
  33. F

    Mechanical energy- Falling rock

    Homework Statement If the original height of a falling rock is y1 = h = 3.0m; calculate the rock's speed just before it hits ground.Homework Equations From conservation of mechanical energy law 1/2mv1^2 + mgy1 = 1/2mv2^2 + mgy2 The Attempt at a Solution I think I'm supposed to find v2 i.e...
  34. E

    Conservation of mechanical energy and external forces. A bit confused

    Hi I got a question regarding conservation of mechanical energy. The mechanical energy of a system is conserved, as long as there are no transfer of energy (like heat, work, mechanical waves etc.), right? So, why is the mechanical energy in the system of the pivoting rod and the earth, as...
  35. C

    Most efficient way to convert mechanical energy into heat.

    Hi What is most efficient way to convert mechanical energy into heat?
  36. S

    Calculating Specific Mechanical Energy in a spacecraft

    Homework Statement My math is horrible and I'm in an orbital mechanics class which I'm way over my head...my question is... "What is the specific mechanical energy, e, of an orbit with a semimajor axis of 42,160km" Homework Equations I used a formula that took -3.986x10^5 / 2x...
  37. V

    Conservation of Mechanical Energy

    Homework Statement A uniform solid ball rolls smoothly along a floor, then up a ramp inclined at 19.0 degrees. It momentarily stops when it has rolled 2.20 m along the ramp. What was its initial speed? Homework Equations Kinematic Equations Conservation of Momentum The Attempt at a...
  38. L

    Question on Law conservation of Mechanical Energy

    Homework Statement Assuming no friction or air resistance, calculate the height at C if at point A, the roller coaster had a speed of 20 m/s, and height of 0.45 km. The height at point B is 0 m. The speed at C is 15.6m/s. So basically the roller coaster starts from A which is 0.45 Km high...
  39. A

    Mechanical energy into thermal energy

    Homework Statement the roller coaster is 94.5m high at its highest point. what is the maximum possible speed of the roller coaster? the roller coaster's actual maximum speed is 4.1m/s.what percentage is lost to thermal energy due to friction? Homework Equations Wnc= Efinal-Eintial the part...
  40. A

    Laws of conservation of mass (roller coaster) work and mechanical energy

    Homework Statement A 4.0 x 10^4kg roller coaster starts from rest at point A. Neglecting Friction, calculate its potential eneregy relative to the ground, its kinetic energy, and it's speed at points, B, C, and D. at point A : 54m B: 15m c:47m d:35mHomework Equations i got potential eneregy by...
  41. D

    Mechanical Energy Question Involving a Spring

    [b]1. In the figure below, a block of mass m = 3.20 kg slides from rest a distance d down a frictionless incline at angle θ = 30.0° where it runs into a spring of spring constant 445 N/m. When the block momentarily stops, it has compressed the spring by 21.0 cm. Here is the image...
  42. D

    How High Will the Mass Go When Launched by a Spring?

    Homework Statement A 150 kg mass is attached to a vertical spring, stretching it by 15.0 cm. This same spring is fastened to the floor and compressed by 25.0 cm. A 5.00 kg mass is then placed on the spring. If the spring is released and the mass is launched straight up into the air by the...
  43. R

    Bungee jumper(Conservation of mechanical energy)

    Homework Statement The Royal Gorge bridge over the Arkansas River is 310 m above the river. A 60-kg bungee jumper has an elastic cord with an unstressed length of 50 m attached to her feet. Assume that, like an ideal spring, the cord is massless and provides a linear restoring force when...
  44. J

    How Do You Calculate Velocity in a Horizontal Slingshot Setup?

    Homework Statement A horizontal slingshot consists of two light, identical springs (with spring constants of 74 N/m) and a light cup that holds a 1-kg stone. Each spring has an equilibrium length l0 = 49 cm. When the springs are in equilibrium, they line up vertically. Suppose that the cup...
  45. H

    Conservation of Mechanical Energy - I can't see what I'm doing wrong

    Homework Statement A motorcyclist is trying to leap across a canyon. The first cliff is 70m high, she wants to jump to the cliff 35m high. She is traveling 38m/s. Ignoring air resistance, find the speed with which the cycle strikes the ground on the other side. I think (and am very worried...
  46. R

    Finding Distance with Mechanical Energy Problem

    Homework Statement A bullet of mass 0.0800 kg is fired onto an empty box of mass 0.920 kg initially at rest. Upon hitting the box, the bullet has a speed of V= 900.0 m/s and is oriented horizontally. After hitting the box, the bullet passes through it and emerges with a speed of 1/2V. The box...
  47. 8

    Calculate the mechanical energy

    Thanks in advance for the help! I really appreciate it :D Homework Statement A pendulum was swung once and when the pendulum bob was at the lowest point of its swing, it broke a photogate light beam. The following information was collected: Diameter of pendulum bob = 3.50cm = 0.035m mass of...
  48. S

    Mechanical energy of satellite

    Homework Statement the gravitational force exerted on a body of mass m by the Earth is GmM / r2 1. Express the speed of an artificial satellite which carries out uniform circular motion at height R from the surface of the Earth in terms of g and R 2. express the mechanical energy of the...
  49. K

    How to work out mechanical energy used to stroke a key on a keyboard

    I am working on a project to use piezoelectric ribbons printed on rubber underneath a laptop keyboard to charge its battery. I have the conversion rate of the ribbons from mechanical energy to electric energy. I need to work out how much mechanical energy is used (and what is the formula) to...
Back
Top