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What is the scalar equivalent of work?

Updated: 9/25/2023
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Q: What is the scalar equivalent of work?
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Is the work vector quantity or scalar quantity?

Work is a scalar quantity.


Is xy and yx equivalent?

When they are scalar, xy and yx are equivalent. When they are vectors or matrices, they are not equivalent.


Is work done a scalar or a vector quantity?

Work done is the amount of energy transferred by a force acting through a distance. It is a scalar quantity.


Is weight scalar or vector quantity?

scalar, produced by the scalar product of two vector quantities ... Force · Distance


Is work vector or scaler quantity?

Work is a scalar.


Work done is scalar or vector?

Physics as taught in high school would say that work is a scalar quantity.More sophisticated forms of physics would say that work done is a Quaternion, both a scalar and a vector.Work is bothw= [0,F][0,D]=[ 0 - F.D, 0 + 0 + FxD] = [-F.D, FxD] = -F.D + FxD. -F.D = -FDcos(FD) is scalar work out, andw= FxD= FDsin(FD) a vector called Torque.


Electric potenial scalar or vector why?

Electric potential is a scalar quantity since work done and charge are scalars


Why work is scalar quantity where as force and displacement are vector quantity?

Work is the product of a force a nd a displacement. Both of those are vectors. There are two ways to multiply vectors. One of them produces another vector, the other produces a scalar. The calculation for 'work' uses the scalar product. The procedure is: (magnitude of one vector) times (magnitude of the other vector) times (cosine of the angle between them). Answer2: Work is a scalar because Physics has a major defect in defining energy as a scalar. Nature defines energy as a Quaternion, the sum of a scalar and a vector. Work is a Quaternion, W = FD= -F.D + FxD , -F.D is a scalar and FxD is a vector. Physics defines Work as -FDcos(FD) and defines FxD = FDsin(FD) as Torque. When Physics understands Nature and Quaternions, then both F.D and FXD will both be recognized as energy, scalar energy and vector energy.


Why work done is a dot product?

As we know work done is a scalar. Also the work done is referred to as the product of force and displacement. so, we consider the dot product of force and displacement which would result in a scalar.


Is work and energy scalar or vector quantities explain?

It is scalar. This simply means that - unlike vector quantities - energy is not defined in a particular direction.


Is work a scalar or vector?

Work is scalarWork W is both a scalar (F.D) and a vector (FxD), in short work is a Quaternion,W = [0,F][0,D]= [00 -F.D, 0D + F0 + FxD] = [-F.D, FxD] .Physics has yet to recognize that Work and Energy are Quaternions and thus define work and energy as a scalar. Nature and mathematics recognize work as as a Quaternion manifested by the reality of F.D and FxD.Work is a scalar when the angle between F and D is a multiple of even 90 degrees and a torque when the angle is an odd multiple of 90 degrees.


In work definition we use only displacement why we didn't use distance in work definition?

Some Physics definitions ignore the real world of Nature. Forces and distances are four dimensional including real and vector quantities. Work is defined as the scalar product of two vectors and ignores the scalar cross distances and vector cross products..Gravity is a scalar force and gravitatinal potential energy is mgh where mg is a scalar force and h is a scalar distance. This is not called work because it is not the scalar product of two vectors.Nature and Physics involves scalar and vector quantities, in other words Quaternion quantities. The Quaternion product of force and distance is:(f + F)(d + D) = (fd - F.D) + (fD + dF + FxD).Physics only defines work as F.D and ignores the other 'work' including Torque,FxD.