Answer
365.4k+ views
Hint: To answer this question, we first need to understand the concept of the conservation of momentum. Momentum is conserved when a collision occurs in an isolated system. The cumulative sum of momentum in the system's set of objects is the same before and after the collision. A popular physics lab involves dropping a brick onto a moving cart.
Complete step by step answer:
As given in the question
${M_1}$= 50 Kg (mass of girl)
$\Rightarrow {M_2}$= 300 Kg (mass of boat)
$\Rightarrow {V_1} = 3\,m{s^{ - 1}}$.........(velocity of girl)
$\Rightarrow {V_2}$ = To find
As per law of conservation of momentum net momentum is equal to zero.
Principle of conservation of momentum: If there is no external force acting on the colliding objects, the theory of conservation of momentum states that if two objects collide, their total momentum before and after the collision will be the same.
${M_1}{V_1} + {M_2}{V_2} = 0$
Putting the given values
$50\,kg \times 3m{s^{ - 1}} + 300Kg \times {V_2} = 0$
$150\,kgm{s^{ - 1}}\dfrac{1}{{300Kg}} = - {V_2}$
Hence ${V_2} = - 0.5\,m{s^{ - 1}}$.....(negative sign represents the direction i.e. backwards)
Hence, the velocity with which the boat begins to move backwards is $0.5\,m{s^{ - 1}}$.
Note:The net force acting on a system of particles is often zero, or very similar to it. It's similar to energy conservation in that momentum can be transferred from one particle to another within the system. When this occurs, though, the overall momentum must remain constant.
Complete step by step answer:
As given in the question
${M_1}$= 50 Kg (mass of girl)
$\Rightarrow {M_2}$= 300 Kg (mass of boat)
$\Rightarrow {V_1} = 3\,m{s^{ - 1}}$.........(velocity of girl)
$\Rightarrow {V_2}$ = To find
As per law of conservation of momentum net momentum is equal to zero.
Principle of conservation of momentum: If there is no external force acting on the colliding objects, the theory of conservation of momentum states that if two objects collide, their total momentum before and after the collision will be the same.
${M_1}{V_1} + {M_2}{V_2} = 0$
Putting the given values
$50\,kg \times 3m{s^{ - 1}} + 300Kg \times {V_2} = 0$
$150\,kgm{s^{ - 1}}\dfrac{1}{{300Kg}} = - {V_2}$
Hence ${V_2} = - 0.5\,m{s^{ - 1}}$.....(negative sign represents the direction i.e. backwards)
Hence, the velocity with which the boat begins to move backwards is $0.5\,m{s^{ - 1}}$.
Note:The net force acting on a system of particles is often zero, or very similar to it. It's similar to energy conservation in that momentum can be transferred from one particle to another within the system. When this occurs, though, the overall momentum must remain constant.
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)