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?

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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 square loop of side 0.50 m is placed in a uniform magnetic field of 0.4 T perpendicular to the plane of the loop. The loop is rotated through an angle of $60^\circ$ in 0.2 s. The value of emf induced in the loop will be:

2.A magnet held vertically, with its north pole down, is dropped along the axis of a closed solenoid placed vertically on a table. If the observer looks down from the top,

3.Find the ratio $\dfrac{\lambda_\alpha}{\lambda_p}$ of the de Broglie wavelength $\lambda_\alpha$ associated with an alpha particle to the de Broglie wavelength $\lambda_p$ associated with a proton if both are moving with the same velocity.

4.A ray of light MN is incident normally on the face corresponding with side AB of a prism with an isosceles right-angled triangular base ABC. Trace the path of the ray as it passes through the prism when the refractive index of the prism material is (i) $\sqrt{2}$, and (ii) $\sqrt{3}$.

6.Draw the plot of potential energy of a pair of nucleons as a function of their separation. Write two important conclusions that can be drawn from this plot.

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Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
A square loop of side 0.50 m is placed in a uniform magnetic field of 0.4 T perpendicular to the plane of the loop. The loop is rotated through an angle of $60^\circ$ in 0.2 s. The value of emf induced in the loop will be:

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