Answer

Verified

61.8k+ views

**Hint:**In the above question they have asked to find the centripetal force of a body undergoing circular motion. The mass of the body, radius of the body and velocity of the body is given in the question. Apply the given data to find the centripetal force of a body.

**Formula used:**

$F = \dfrac{{m{v^2}}}{r}$

Where $F$ is the centripetal force, $r$ is the mass of the body, $v$ is the velocity of the body and $r$ is the radius of the body

**Complete step by step answer:**

Centripetal force is the net force required by a body to perform uniform circular motion. The direction of centripetal force is in the direction of centripetal acceleration; that is it is directed along the radius towards the center.

Data given: Mass of the body \[m = 5{\text{ }}kg\], radius of the body \[r = 2m\] and velocity of the body \[ = 4m/s\]

Centripetal force is given by the formula

$F = \dfrac{{m{v^2}}}{r}$

Now substitute the given data and find its centripetal force

$F = \dfrac{{5 \times {{\left( 4 \right)}^2}}}{2}$

On squaring the value we get,

$F = \dfrac{{5 \times 16}}{2}$

On cancel the term we get,

$F = 5 \times 8$

Let us multiply the terms we get,

$F = 40N$

**Therefore option (C) is the correct option.**

**Additional information:**Centripetal acceleration of the body is the acceleration of the body when the body undergoes circular motion. Centripetal acceleration is given by the formula $a = \dfrac{{{v^2}}}{r}$ where $a$ is centripetal acceleration, $v$ is velocity of the body, $r$ is the radius of the body.

**Note:**Centripetal force causes centripetal acceleration. If centripetal force ceases to act at a point then the body flies off tangentially. Centripetal force comes into picture only when a body is undergoing circular motion. Its direction is towards the center.

Recently Updated Pages

Write a composition in approximately 450 500 words class 10 english JEE_Main

Arrange the sentences P Q R between S1 and S5 such class 10 english JEE_Main

What is the common property of the oxides CONO and class 10 chemistry JEE_Main

What happens when dilute hydrochloric acid is added class 10 chemistry JEE_Main

If four points A63B 35C4 2 and Dx3x are given in such class 10 maths JEE_Main

The area of square inscribed in a circle of diameter class 10 maths JEE_Main

Other Pages

Total number of orbitals associated with the 3rd shell class 11 chemistry JEE_Main

Excluding stoppages the speed of a bus is 54 kmph and class 11 maths JEE_Main

Electric field due to uniformly charged sphere class 12 physics JEE_Main

The atomic radii of fluorine and neon in angstrom unit class 11 chemistry JEE_MAIN

Which is the correct statement As the scharacter of class 11 chemistry JEE_Main

Differentiate between homogeneous and heterogeneous class 12 chemistry JEE_Main