What is the difference between the force and energy?
Answer
603.3k+ views
Hint: The force and energy can be differentiated on the basis of the fundamental dimensions that they have. Energy is the work required to displace a body by some distance. At the same time the effort that it takes to do the work is the force experienced by the body.
Formula used:
$W=F\cdot d$
Complete step-by-step solution:
Let us say there is a block on a frictional horizontal floor. If the net force (F) applied by an external agent such that the body gets displaced By ‘d’ units, thEn the energy required to do the work (W) is given by,
$W=F\cdot d....(1)$
Force can be defined as the effort that it takes to displace a body. If the force required is F to move a body by s distance d, then the energy required to do the work is defined as the product of the force in the direction of displacement times the displacement of the body. The force has SI units of $kgm{{s}^{-2}}$ and displacement has a unit of m. Hence using equation 1 we get the SI unit of energy (E) as,
$\begin{align}
& E=kgm{{s}^{-2}}(m) \\
& E=kg{{m}^{2}}{{s}^{-2}} \\
\end{align}$
Hence it is more precise to distinguish between the energy and the force by their fundamental units.
Note: Force on a body is given by the product of mass times the acceleration. Hence force is a vector quantity. Where as if we consider the energy of a body it is a scalar quantity. This is due to the fact that energy is given by the dot product between the applied force and the displacement. This is a mathematical interpretation. A physical interpretation would be that energy is the tendency of an agent to apply the force which does not have any direction associated with it.
Formula used:
$W=F\cdot d$
Complete step-by-step solution:
Let us say there is a block on a frictional horizontal floor. If the net force (F) applied by an external agent such that the body gets displaced By ‘d’ units, thEn the energy required to do the work (W) is given by,
$W=F\cdot d....(1)$
Force can be defined as the effort that it takes to displace a body. If the force required is F to move a body by s distance d, then the energy required to do the work is defined as the product of the force in the direction of displacement times the displacement of the body. The force has SI units of $kgm{{s}^{-2}}$ and displacement has a unit of m. Hence using equation 1 we get the SI unit of energy (E) as,
$\begin{align}
& E=kgm{{s}^{-2}}(m) \\
& E=kg{{m}^{2}}{{s}^{-2}} \\
\end{align}$
Hence it is more precise to distinguish between the energy and the force by their fundamental units.
Note: Force on a body is given by the product of mass times the acceleration. Hence force is a vector quantity. Where as if we consider the energy of a body it is a scalar quantity. This is due to the fact that energy is given by the dot product between the applied force and the displacement. This is a mathematical interpretation. A physical interpretation would be that energy is the tendency of an agent to apply the force which does not have any direction associated with it.
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