Answer
398.4k+ views
Hint:While Newton’s laws of motion may seem obvious to us today, centuries ago they were considered revolutionary. The three laws of motion help us understand how objects behave when they are standing still, when moving and when forces act upon them.Newton’s second law of motion gives the definition of force and all the applications related to force. This definition of force is used in all the problems of mechanics.
Complete step by step answer:
Mechanics is a branch of physics that deals with motion and the dynamics of its working. Sir Isaac Newton was the creator of this branch. He gave three laws of motion.Newton’s First Law of Motion states that a body in uniform motion will stay in uniform motion and a body in rest will stay in rest unless an external force is applied on the body.
Newton’s Second Law of Motion states that the acceleration of a body is directly related to the net force and inversely related to mass.Newton’s Third Law of motion states that every action has an equal and opposite reaction.Now according to second law of motion,
$a \propto F$, and
$a \propto \dfrac{1}{m}$
So,
$a \propto \dfrac{F}{m}$, here after eliminating the proportionality sign, the constant used is
$1$.
So,
$a = \dfrac{F}{m}$
$ \Rightarrow F = ma$
Where, $F = $External force applied,$m = $Mass of body$ = 0.5kg$ and $a = $Acceleration of body$ = 5m{s^{ - 2}}$.
So,
$F = 0.5 \times 5$
$\therefore F = 2.5N$
Therefore the correct answer is option B.
Note:Force is also defined as the rate of change of momentum with respect to time. Which means that force is equal to the ratio of change in momentum and time taken for that change to occur. This change in momentum causes the occurrence of acceleration in the body. That acceleration can be uniform or non-uniform. All this Newtonian mechanics is applicable only if the frame of reference is either at rest or in uniform motion. If the frame of reference is in accelerated motion, these laws fail.
Complete step by step answer:
Mechanics is a branch of physics that deals with motion and the dynamics of its working. Sir Isaac Newton was the creator of this branch. He gave three laws of motion.Newton’s First Law of Motion states that a body in uniform motion will stay in uniform motion and a body in rest will stay in rest unless an external force is applied on the body.
Newton’s Second Law of Motion states that the acceleration of a body is directly related to the net force and inversely related to mass.Newton’s Third Law of motion states that every action has an equal and opposite reaction.Now according to second law of motion,
$a \propto F$, and
$a \propto \dfrac{1}{m}$
So,
$a \propto \dfrac{F}{m}$, here after eliminating the proportionality sign, the constant used is
$1$.
So,
$a = \dfrac{F}{m}$
$ \Rightarrow F = ma$
Where, $F = $External force applied,$m = $Mass of body$ = 0.5kg$ and $a = $Acceleration of body$ = 5m{s^{ - 2}}$.
So,
$F = 0.5 \times 5$
$\therefore F = 2.5N$
Therefore the correct answer is option B.
Note:Force is also defined as the rate of change of momentum with respect to time. Which means that force is equal to the ratio of change in momentum and time taken for that change to occur. This change in momentum causes the occurrence of acceleration in the body. That acceleration can be uniform or non-uniform. All this Newtonian mechanics is applicable only if the frame of reference is either at rest or in uniform motion. If the frame of reference is in accelerated motion, these laws fail.
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Bimbisara was the founder of dynasty A Nanda B Haryanka class 6 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)