Answer
Verified
385.8k+ 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
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Why Are Noble Gases NonReactive class 11 chemistry CBSE
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
At which age domestication of animals started A Neolithic class 11 social science CBSE
Which are the Top 10 Largest Countries of the World?
Give 10 examples for herbs , shrubs , climbers , creepers
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Difference Between Plant Cell and Animal Cell
Write a letter to the principal requesting him to grant class 10 english CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE