Question

Force F applied on a body moves it through a distance S along F. Energy spent is:
\[A.\,F\times S\]
\[B.\,\dfrac{F}{S}\]
\[C.\,F{{S}^{2}}\]
\[D.\,\dfrac{F}{{{S}^{2}}}\]

Answer 1

Hint: This is a direct question. The answer to this question is completely based on the formula that relates the work done, force, and displacement because the energy spent is equal to the work done by the force on the body that moved through a distance.
Formula used:
\[W=F\times S\]
Complete step-by-step solution
We will begin with the definition of the term ‘energy spent’.
The energy spent is equal to the work done by the force on the body that moved through a distance.
The formula that defines the relation between the energy spent by the force to move the body by a distance S along the direction of the work done by the force is given as follows.
\[W=F\times S\]
Where W represents the work done on the body, F is the force applied to the body and S is the distance moved by the body.
Thus, the energy spent equals the work done, in turn, this work done equals the force applied on the body times the distance covered by the body.
The units of these parameters are as follows:
The unit of the force is Newton, the unit of the distance is meter, the unit of the energy is Joule and the unit of the work done is Joule.
$\therefore$ The energy spent in terms of force F and distance S is \[F\times S\]. Thus, the correct option (A) is correct.

Note: Knowing the formulae is the most important thing while solving such problems. At least the relationship between the given parameters should be known to solve this type of problem. The units of the parameters should also be known, as the question in terms of the units of the parameters can be asked.