How can work and work done be same when work=f x s while work done=weight x height?

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The given formulas for work and work done are related, but they represent slightly different things.

The formula for work is W = F x s, where W is the work done, F is the force applied, and s is the distance over which the force is applied. This formula is used to calculate the amount of energy transferred from one object to another due to the application of a force over a distance.

The formula for work done is Wd = mgh, where Wd is the work done, m is the mass of the object, g is the acceleration due to gravity, and h is the height through which the object is lifted. This formula is used to calculate the amount of energy required to lift an object to a certain height against the force of gravity.

In both cases, the unit of measurement for work and work done is joules (J). However, the two formulas represent different types of work. It is possible for the work done in lifting an object to be equal to the work done by a force applied over a distance.

For example: If you lift a 1 kg book off the ground to a height of 1 meter, you are doing work against the force of gravity.

The work done is Wd = mgh = (1 kg) x (9.81 m/s²) x (1 m) = 9.81 J.

At the same time, the force you apply to lift the book is equal to its weight, which is F = mg = (1 kg) x (9.81 m/s²) = 9.81 N.

If you lift the book over a distance of 1 meter, then the work you do is W = F x s = (9.81 N) x (1 m) = 9.81 J. In this case, the work and work done are equal, but they represent different things.

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How can work and work done be same when work=f x s while work done=weight x height?

CBSE CLASS XII Related Questions

1.
A light copper ring is freely suspended by a light string. A bar magnet is held horizontally with its length along the axis of the ring. The magnet is moved towards the ring with its N pole facing the loop. What will happen to the ring and its position? Explain.

2.
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3.
Draw a circuit diagram of a full-wave rectifier using p-n junction diodes. Explain its working and show the input-output waveforms.

4.
Photoemission of electrons occurs from a metal (\( \phi_0 = 1.96 \, \text{eV} \)) when light of frequency \( 6.4 \times 10^{14} \, \text{Hz} \) is incident on it. Calculate: Energy of a photon in the incident light, The maximum kinetic energy of the emitted electrons, and The stopping potential.

5.
Draw the number of scattered particles versus the scattering angle graph for scattering of alpha particles by a thin foil. Write two important conclusions that can be drawn from this plot.

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How can work and work done be same when work=f x s while work done=weight x height?

CBSE CLASS XII Related Questions

1.A light copper ring is freely suspended by a light string. A bar magnet is held horizontally with its length along the axis of the ring. The magnet is moved towards the ring with its N pole facing the loop. What will happen to the ring and its position? Explain.

2.Two heaters rated as \((P_1,V)\) and \((P_2,V)\) are connected in series across a dc source of \(V/2\) volt. The power consumed by the combination will be –

3.Draw a circuit diagram of a full-wave rectifier using p-n junction diodes. Explain its working and show the input-output waveforms.

4.Photoemission of electrons occurs from a metal (\( \phi_0 = 1.96 \, \text{eV} \)) when light of frequency \( 6.4 \times 10^{14} \, \text{Hz} \) is incident on it. Calculate: Energy of a photon in the incident light, The maximum kinetic energy of the emitted electrons, and The stopping potential.

5. Draw the number of scattered particles versus the scattering angle graph for scattering of alpha particles by a thin foil. Write two important conclusions that can be drawn from this plot.

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Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
A light copper ring is freely suspended by a light string. A bar magnet is held horizontally with its length along the axis of the ring. The magnet is moved towards the ring with its N pole facing the loop. What will happen to the ring and its position? Explain.

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Draw a circuit diagram of a full-wave rectifier using p-n junction diodes. Explain its working and show the input-output waveforms.

4.
Photoemission of electrons occurs from a metal (\( \phi_0 = 1.96 \, \text{eV} \)) when light of frequency \( 6.4 \times 10^{14} \, \text{Hz} \) is incident on it. Calculate: Energy of a photon in the incident light, The maximum kinetic energy of the emitted electrons, and The stopping potential.

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Draw the number of scattered particles versus the scattering angle graph for scattering of alpha particles by a thin foil. Write two important conclusions that can be drawn from this plot.