Is work a scalar or a vector quantity?
Answer
637.5k+ views
Hint: Here we know that the work done by any object is given by the product of force and the displacement. From the basic definition we can directly get the required answer. From this unit we can get the S.I unit of the work.
Complete answer:
As we know that, work can be defined as the measure of energy transfer that occurs when an object is moved over a distance by an external force at least part of which is applied in the direction of the displacement.
Also, we know that work is a dot product of vectors force and the displacement. Since, the dot product is a scalar quantity. So, work is a scalar quantity, it has only magnitude not direction.
Additional information:
As we know that the S.I unit of work is joule is represented J. Joule is defined as the work done by a force of one Newton causing a displacement of one meter. Sometimes, Newton-meter (N-m) is also used for measuring work.
Further, force experienced by a particle or an object can be defined as the product of mass m and the acceleration a. The S.I. unit of force is Newton and it is represented as N. the mass of an object is defined as both a property of a physical body and also a measure of its resistance to acceleration or a change in its state of motion, when a net force is applied.
Also it can be said that an object's mass also tells about the strength of its gravitational attraction to other bodies. The SI unit of mass is kilogram or it can be represented as kg.
Pressure applied on an object is defined as the force exerted on the object per unit area.
Note:
Here, we should note down that the unit of work can also be given in kilo-Joule, electron volt. From the basic definition of work we can say that when the displacement is zero, which means there is no work done.
Complete answer:
As we know that, work can be defined as the measure of energy transfer that occurs when an object is moved over a distance by an external force at least part of which is applied in the direction of the displacement.
Also, we know that work is a dot product of vectors force and the displacement. Since, the dot product is a scalar quantity. So, work is a scalar quantity, it has only magnitude not direction.
Additional information:
As we know that the S.I unit of work is joule is represented J. Joule is defined as the work done by a force of one Newton causing a displacement of one meter. Sometimes, Newton-meter (N-m) is also used for measuring work.
Further, force experienced by a particle or an object can be defined as the product of mass m and the acceleration a. The S.I. unit of force is Newton and it is represented as N. the mass of an object is defined as both a property of a physical body and also a measure of its resistance to acceleration or a change in its state of motion, when a net force is applied.
Also it can be said that an object's mass also tells about the strength of its gravitational attraction to other bodies. The SI unit of mass is kilogram or it can be represented as kg.
Pressure applied on an object is defined as the force exerted on the object per unit area.
Note:
Here, we should note down that the unit of work can also be given in kilo-Joule, electron volt. From the basic definition of work we can say that when the displacement is zero, which means there is no work done.
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