Describe the Work Energy Theorem in Words and Equation

This establishes a relation between work and kinetic energy which is called the Work-Energy Theorem. Describe the Work-Kinetic Energy Theorem in words and summarize with an equation.

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Role to reduce the energy as the work W in the equation.

. TO BUU LIJE 1 Describe the Work-Kinetic Energy Theorem in words and summarize with an equation. This relationship is called the workenergy theorem. Wnet ma xf - xo Given uniform acceleration vf2 - vI2 2axf - xo.

In this lab we shall also look at the Newton Second Law a little bit laying more emphasis on the energy that is involved. Work Energy Theorum states that the work donr on. Work and energy are directly proportional to each other.

The quantity 1 2mv2 1 2 m v 2 in the work-energy theorem is defined to be the translational kinetic energy KE of a mass m moving at a speed v. Substituting for axf - xo into our work equation we find that. As for an interesting perspective this theorem shows that only initial and final states describe the physical system which is actually equivalent with the outcome from Newtons equation of motion.

The Work-Kinetic Energy Theorem describes what happens when a particular force such as the one supplied by the catapult does work to cause only the kinetic energy of the object to change. Chance to take on the big one. From the study of the numerous forms of energy.

Draw a free body diagram for each mass in this setup. Then you will use the theorem to determine the work done by an additional non-conservative force friction. Finally work is defined to be accumulated force over a distance.

The work-energy theorem can be derived from Newtons second law. The net work on a system equals the change in the quantity 1 2mv2 1 2 m v 2. State the work-energy theorem in words.

Work done by an object can be mathematically expressed as. If a ball rises to a height of h 10 m the work. When calculating the net work you must include all the forces that act on an object.

Energy is part of essential theories in science. Also explain that we buy electricity in kilowatt-hours because when power is multiplied by time the time units cancel which leaves work or energy. Then the energy in this system is not conserved.

The change in the kinetic energy is equal to the amount of work done. For example if a force of 10 newtons F 10 N acts along a point that travels 2 metres s 2 m then W Fs 10 N 2 m 20 J. It is a known fact that we all require Energy in order to Work.

Conservation of Energy Objectives. Examples are energy stored in a pile driver at the top of its path or energy. Begin array lWfrac 1 2mv_f 2-frac 1 2mv_i 2end array Where W is the work done by object measured using Joules.

W k kf ki 294 J 0 J 294 J. The kinetic energy of the box using the equations of motion. View the full answer.

The reaches the bottom of the slope Calculate the following. The Total Work is determined by the sum of the work done by each of the individual forces in all dimensions acting on the object such as. Wnet mvf2 - mvo2.

W K mv 2 2 2 - mv 1 2 1 Equation 1 is a statement of the work-energy theorem and is the. Now if we can calculate the change in energy of the bullet or in other words the workdone by the bullet on the tree we have. The work done is equal to the change in the kinetic energy.

ΔKE of the bullet 12002500 2 002400 2 Therefore ΔKE of the bullet 900 J. W ΔKE 1 2mv2 f 1 2mv2 i W Δ KE 1 2 mv f 2 1 2 mv i 2. Draw a free-body diagram to show ALL the forces acting on the cardboard box while it slides down the slope.

The Work-Kinetic Energy Theorem equates these two quantities. Potential energy also referred to as stored energy is the ability of a system to do work due to its position or internal structure. This equation is one form of the work-energy equation and gives us a direct relation between the net work done on a particle and that particles velocity.

W net 1 2mv2 1 2mv2 0 W net 1 2 m v 2 1 2 m v 0 2. It is written as follows. This is approximately the work done lifting a 1 kg object from ground level to.

So the Work Energy Theorem says that If a force is acting on a body a variable force associated with the force is the function G a variable function of x whose derivative is the given force. M2 F sensor 2 Draw a free body diagram for each mass in this setup. O is the original kinetic energy.

If an amount of work W is done on a system then the kinetic energy K of the system changes. Hence using the Work-Energy Theorem we have. It is written as follows.

It is expressed as. From this you will determine the coefficient of. W net K.

ΔK change in kinetic energy of the object. 305 words 2 page s The primary objective of this lab is to verify the generalized work-energy theorem. 3 Considering all the forces acting on m write the Work-Kinetic Energy Theorem for my 4 Which forces on m do no work.

F is the final kinetic energy and K. Then at the beginning if you take the difference of kinetic energy minus the value of. First you will confirm this theorem for the case of a conservative force namely gravity applied via tension in a string.

Final velocity of the bullet 400 ms. Where W work done in joules J and. Write the Work-Kinetic Energy Theorem for m2.

Initial velocity of the bullet 500 ms. Considering all the forces acting on m. Mass m 2 can change the kinetic energy of m2.

So the kinetic energy released by an apple dropped from a height of 1 meter is approximately 1 joule. If an object speeds up the net work done on it is positive. The Work-Kinetic Energy Theorem describes what happens when the Net Force does work to cause the kinetic energy of the object to change.

To investigate the validity of the work-energy theorem. The work W done by a constant force of magnitude F on a point that moves a displacement s in a straight line in the direction of the force is the product. The work-energy theorem also known as the principle of work and kinetic energy states that the total work done by the sum of all the forces acting on a particle is equal to the change in the kinetic energy of that particle.

According to this theorem when an object slows down its final kinetic energy is less than its initial kinetic energy the change in its kinetic energy is negative and so is the net work done on it. E k m v 2 2 01 a t 2 2 01 98 2 98 2 2 01 98 2 2 98 2 01 98 2 2 098. This explanation can be extended to rigid bodies by describing the work of rotational kinetic energy and torque.

M is the mass of the object measured using kilograms. If W f d W f d and work can be expressed in J then P W t f d t P W t f d t so power can be expressed in units of N m s N m s. K Kf Ki W In the above example with the ball falling from a height of h 10 m the work done by gravity.

W by a particular force DK K f K i. Work transfers energy from one place to another or one form to another. The work W done by the net force on a particle equals the change in the particles kinetic energy K E.

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