Question

wheather following statement is true / false 1) The workdone is zero if there is no displacement .​

Answer 1

• GIVEN:-

1)) The workdone is zero if there is no displacement.

• To Find:-

True or false.

• SOLUTION:-

• Displacement:-

Displacement is defined to be the change in position of an object. It can be defined mathematically with the following equation:

$\large{\sf{Displacement=\delta x=x_f-x_0}}$

• Work:-

In physics, work is the energy transferred to or from an object via the application of force along a displacement. In its simplest form, it is often represented as the product of force and displacement.

$\large{\sf{In \:SI \:base\: units :-\: 1\:kg.{m}^{2}.{s}^{-2}}}$

SI unit: joule (J)

Other units: Foot-pound, erg

Derivations from other quantities: W = F × s; W = τ θ

$\large{\sf{Dimensions:-\:M{L}^{2}{T}^{-2}}}$

According to the question,

Yes, if force is acting on a body work done can be zero. When an object is at rest and no external force except gravity is acting on it in this case the work that would be zero as the force acting on it is perpendicular.

For example,

When an object is at rest and no external force except gravity is acting on it in this case the work that would be zero as the force acting on it is perpendicular. Therefore the displacement is zero and if displacement is zero work done would be zero.

We know that,

The work done

W=F×s

where F is force and s is displacement.

Suppose that displacement is zero then,

W=F×0

W=0

The work done is zero.

• EXAMPLES:-

A simple example of zero work is when you stand holding a bag in your hands and do not move it. Your hands apply a force on the bag to balance the force of gravity exerted on it but since there is no displacement of the bag, the work done on it by you (your force) and also the gravity is zero.

$\large\blue\therefore\boxed{\sf{\blue{The\:Answer \:is\: TRUE.}}}$