Work done by a force can be divided into work from a constant force and work from a variable force. So dimention formula of work done is m l t 2 l m l 2 t 2.
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As given in the question.
Physics formula work done. W f s here force f 10 n and distance s 1 m so work done w 10 1 j 10 j thus the work done is 10 joules. The work is subsequently calculated as force displacement cosine theta where theta is the angle between the force and the displacement vectors. In this case the force exerting on the block is constant but the direction of force and direction of displacement influenced by this force is different.
Classical physics formulas list online. Compute the work done if 10 n of force acts on the body showing the displacement of 2m in the direction of the force. Scientifically work done formula will be given as w f d.
It is written as in newton meter or nm. The general formula for work and for determining the amount of work that is done on an object is. Work formula is used to compute work done force or displacement in any problem.
We know that the scalar product of two vectors a and b where a makes an angle θ with b is given by. In this part of lesson 1 the concepts and mathematics of work will be applied in order to analyze a variety of physical situations. This result can be understood more simply by considering the torque as arising from a force of constant magnitude f being applied perpendicularly to a lever arm at a distance r as shown in the figure this force will act through the distance along the circular arc s rφ so the work done is.
Work done force distance moved. A b a b cosθ. Find the work done by a force of 10 n in moving an object through a distance of 2 m.
In such a case work w is equal to the force applied f multiplied by displacement δx. The work done is calculated by using the formula. Introduce the torque τ fr to obtain as presented above.
Force f 10 n displacement d 2 m. Mathematical definition of work done is w f d r. W f cosθ d 2 in equation 2 work done is defined as the product of magnitude of displacement d and the component of force in the direction of displacement.
In the former kind the magnitude and direction of the force remain unaltered. Total work done formula. W f d cos θ where w is the amount of work f is the vector of force d is the magnitude of displacement and θ is the angle between the vector of force and the vector of displacement.
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