Answer
64.8k+ views
Hint: Friction: It is defined as the opposing force acting on a body due to the presence of another body in contact when they are in motion.
Coefficient of friction: It is the relationship between two objects and the normal reaction between the object that is in contact with each other.
Free body diagram: It is the representation of the body on a plan that shows all the force acting on the body.
Formula used:
${\text{F = (mg)sin}}\theta {\text{ + }}{\mu _{\text{k}}}({\text{mg)cos}}\theta $, here F is the force acting on the cube body, (mg) is the weight of the cube, \[{\mu _k}\] is the coefficient of friction acting on the cube body.
Complete step-by-step solution:
It is given details, Force acting on the cube, ${\text{mg = 10N}}$, ${\mu _{\text{k}}} = 0.6$, Inclined plane of slope \[3\] in \[5\] means \[3\] in the vertical direction and \[5\] in the horizontal direction. From this we get the values of\[\theta \],$\theta = {\text{si}}{{\text{n}}^{ - 1}}\left( {\dfrac{3}{5}} \right)$
Now, by using the above equation, ${\text{F = (mg)sin}}\theta {\text{ + }}{\mu _{\text{k}}}({\text{mg)cos}}\theta $ and substituting the values we get,
${\text{F = (10)}}\left( {\dfrac{3}{5}} \right){\text{ + 0}}{\text{.6}}(10{\text{)}}\left( {\dfrac{4}{5}} \right){\text{N}}$
$F = 10.8{\text{N}}$
Hence the correct option is (C).
Note:
1. Rough surface has a higher value of coefficient of friction.
2. Temperature can also vary the coefficient of friction.
3. The value of coefficient of friction varies from zero to one.
4. Coefficient of kinetic friction is produced due to the motion between two rough surfaces. 5. The coefficient of kinetic friction depends only on the nature of the surface.
6. Coefficient of static friction is generated due to the two surfaces at rest.
7. The force acting downward due to the gravitational pull is called gravity.
8. The coefficient of friction always acts in opposite to the direction of the motion of the object.
Coefficient of friction: It is the relationship between two objects and the normal reaction between the object that is in contact with each other.
Free body diagram: It is the representation of the body on a plan that shows all the force acting on the body.
Formula used:
${\text{F = (mg)sin}}\theta {\text{ + }}{\mu _{\text{k}}}({\text{mg)cos}}\theta $, here F is the force acting on the cube body, (mg) is the weight of the cube, \[{\mu _k}\] is the coefficient of friction acting on the cube body.
Complete step-by-step solution:
It is given details, Force acting on the cube, ${\text{mg = 10N}}$, ${\mu _{\text{k}}} = 0.6$, Inclined plane of slope \[3\] in \[5\] means \[3\] in the vertical direction and \[5\] in the horizontal direction. From this we get the values of\[\theta \],$\theta = {\text{si}}{{\text{n}}^{ - 1}}\left( {\dfrac{3}{5}} \right)$
Now, by using the above equation, ${\text{F = (mg)sin}}\theta {\text{ + }}{\mu _{\text{k}}}({\text{mg)cos}}\theta $ and substituting the values we get,
${\text{F = (10)}}\left( {\dfrac{3}{5}} \right){\text{ + 0}}{\text{.6}}(10{\text{)}}\left( {\dfrac{4}{5}} \right){\text{N}}$
$F = 10.8{\text{N}}$
Hence the correct option is (C).
Note:
1. Rough surface has a higher value of coefficient of friction.
2. Temperature can also vary the coefficient of friction.
3. The value of coefficient of friction varies from zero to one.
4. Coefficient of kinetic friction is produced due to the motion between two rough surfaces. 5. The coefficient of kinetic friction depends only on the nature of the surface.
6. Coefficient of static friction is generated due to the two surfaces at rest.
7. The force acting downward due to the gravitational pull is called gravity.
8. The coefficient of friction always acts in opposite to the direction of the motion of the object.
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)