Answer
64.8k+ views
Hint: As we know that the direction of frictional force is opposite of the direction of motion. Now make a FBD(free body diagram) of the given situation in which the child is sliding down the rope. And then calculate the net force (add forces like vector) acting on the child and then divide it with the mass of the child you will get the answer.
Complete step-by-step answer:
As we all know the basic formula of force:
\[F = ma\]
Where:
\[F\] is the force on body
\[a\] is the acceleration of body
\[m\] is the mass of the body
Now see the free body diagram and observe the direction of force.
As force due to its weight that is \[mg\] which is in downward direction and
Frictional force is in upward direction.
\[{F_{net}} = {F_{weight}} - {F_{friction}}\]
\[{F_{weight}} = mg = 25 \times 10 = 250N\]
\[{F_{net}} = 250 - 200\]
\[{F_{net}} = 50\]
\[a = \dfrac{F}{m}\]
\[a = \dfrac{{50}}{{25}} = 2m/{s^2}\]
Hence option D is correct.
Note: For such whenever there are multiple forces acting in different directions, for ease of calculation of the question make a free body diagram of the given situation and then calculate what is asked. While making a FBD of the figure do take directions of friction correctly. When the body is moving, friction acts in the opposite direction.
Complete step-by-step answer:
As we all know the basic formula of force:
\[F = ma\]
Where:
\[F\] is the force on body
\[a\] is the acceleration of body
\[m\] is the mass of the body
Now see the free body diagram and observe the direction of force.
As force due to its weight that is \[mg\] which is in downward direction and
Frictional force is in upward direction.
\[{F_{net}} = {F_{weight}} - {F_{friction}}\]
\[{F_{weight}} = mg = 25 \times 10 = 250N\]
\[{F_{net}} = 250 - 200\]
\[{F_{net}} = 50\]
\[a = \dfrac{F}{m}\]
\[a = \dfrac{{50}}{{25}} = 2m/{s^2}\]
Hence option D is correct.
Note: For such whenever there are multiple forces acting in different directions, for ease of calculation of the question make a free body diagram of the given situation and then calculate what is asked. While making a FBD of the figure do take directions of friction correctly. When the body is moving, friction acts in the opposite direction.
Recently Updated Pages
Write a composition in approximately 450 500 words class 10 english JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Arrange the sentences P Q R between S1 and S5 such class 10 english JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
What is the common property of the oxides CONO and class 10 chemistry JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
What happens when dilute hydrochloric acid is added class 10 chemistry JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
If four points A63B 35C4 2 and Dx3x are given in such class 10 maths JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
The area of square inscribed in a circle of diameter class 10 maths JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Other Pages
Excluding stoppages the speed of a bus is 54 kmph and class 11 maths JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
In the ground state an element has 13 electrons in class 11 chemistry JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Electric field due to uniformly charged sphere class 12 physics JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
A boat takes 2 hours to go 8 km and come back to a class 11 physics JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
According to classical free electron theory A There class 11 physics JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)