Question

A body is displaced by 200m,where a force of 0.2 N acts on the body.The work done is. a)40N-M,B)400N-m,C)4000N-m,D)4N-m​

Answer 1

Answer :

• The work done on the body when a force of 0.2 N displaces it by 200 m is 40 N m.

Explanation :

Given :

• Force applied on the body, F = 0.2 N
• Displacement of the body when the force of 0.2 N acts on it, S = 200 m.

To find :

• Work done on the body, W = ?

Knowledge required :

By definition, Work Done is the product of the force applied on the body and displacement.

So,

⠀⠀⠀⠀⠀⠀⠀⠀⠀W = F s

Where,

• F = Force applied
• s = Displacement
• W = Work Done

From the above relation, we get to know that :

• Force applied on a body is directly proportional to the the force applied on it and the displacement of the body.

[i.e, Greater the force applied and displacement , greater is the force applied on the body]

Solution :

Now by using the equation for work done and substituting the values in it, we get :

⠀⠀⠀=> W = F s

⠀⠀⠀=> W = 0.2 × 200

⠀⠀⠀=> W = 2/10 × 200

⠀⠀⠀=> W = 2 × 20

⠀⠀⠀=> W = 40

⠀⠀⠀⠀⠀⠀⠀⠀⠀∴ W = 40 N m

Therefore,

• Work done on the body, W = 40 N m.

[Note : The unit of work done is commonly called as Joules (J) , which is equivalent to N m, hence the answer can also be also written as 40 J]

Answer 2

$\huge{\boxed{\rm{\red{Question}}}}$

A body is displaced by 200m,where a force of 0.2 N acts on the body. The work done is –

• 40N-M
• 400N-M
• 4000N-M
• 4N-M

$\huge{\boxed{\rm{\red{Answer}}}}$

$\large{\boxed{\sf{Given \: that}}}$

• A body is displaced by 200m , where a force of 0.2 N acts on the body.

⚪Force applied on the body = 0.2 N

⚪Displacement of the body when the force on 0.2N acts on it then S = 200 m

$\large{\boxed{\sf{To \: find}}}$

• The work done by body.

$\large{\boxed{\sf{Solution}}}$

• The work done by body = 40N · M

$\large{\boxed{\sf{Full \: solution}}}$

$\large\blue{\texttt{We know that,}}$

$\large\purple{\texttt{W = Fs}}$

$\mapsto$ W = Fs

$\mapsto$ W = 0.2 × 200 {Given}

{Now conventing 0.2 decimal as fraction we get 2/10}

$\large\blue{\texttt{Let's carry on}}$

$\mapsto$ W = 2/10 × 200

$\mapsto$ W = 2 × 20

$\mapsto$ W = 40

Hence, the Answer is 40N - m or 40J

$\large{\boxed{\boxed{\underline{\sf{40N - M \: is \: answer}}}}}$

$\huge{\boxed{\rm{\red{Explore \: more}}}}$

$\large\underbrace\mathfrak\green{Define \: work \: done}$

❍ It is that product of the force which is applied on the body and the displacement.

$\large\underbrace\mathfrak\green{Formula \: of \: work \: done}$

$\large\purple{\texttt{W = Fs}}$

$\large\underbrace\mathfrak\green{We \: know \: that}$

$\large\purple{\texttt{The unit of work done is J}}$

$\large\underbrace\mathfrak\green{Let's \: carry \: on}$

$\large\purple{\texttt{J means Joule}}$

Itzbeautyqueen23

Hope it's helpful

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