Question

Which two factors determine the arhount of work done?

Answer 1

Answer:distance and force

Explanation:

Let $W$ be the work done.

Let $F$ be the force applied.

Let $S$ be the displacement of the object.

Workdone by a object is defined as the dot product of force and displacement.

$W=F.S$

Since distance is the magnitude of displacement when force and displacement are in a same direction,

$|W|=|F|\times distance$

So,work done depends on force applied and distance.

Answer 2

The two factors which determine the amount of work done are distance and force.

Answer: Option C

Explanation:

Work defines the amount of energy utilized for changing the physical state of any object in any system. So the work done can be measured as the force required to push an object from one to another point. Thus, it can be considered that the work done is directly proportionate to the products of force applied on the system and the distance covered by the object due to that force.

So we can vary the amount or direction of force for completing the work easily but the amount of work done would be retained as the along with the amount of force, the distance covered by the object due to the force would also be changed. Thus, force and distance are the two factors which determine the work done and its mathematical way of calculating work done is

            $\text { Amount of Work done }=\text { Force } \times \text { distance covered by the object } \times \cos \theta$