(D) The body experiences two components of acceleration: centripetal acceleration $(a_c)$ and tangential acceleration $(a_T)$.Centripetal acceleration

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(D) The body experiences two components of acceleration: centripetal acceleration $(a_c)$ and tangential acceleration $(a_T)$.Centripetal acceleration is given by $a_c = \frac{v^2}{r} = \frac{(2\sqrt{5})^2}{5} = \frac{20}{5} = 4 \,m/s^2$.Tangential acceleration is given as $a_T = 3 \,m/s^2$.The net acceleration is $a = \sqrt{a_c^2 + a_T^2} = \sqrt{4^2 + 3^2} = \sqrt{16 + 9} = \sqrt{25} = 5 \,m/s^2$.The magnitude of the net force is $F = m \times a = 2 \,kg \times 5 \,m/s^2 = 10 \,N$.

Class 11 Physics 3-2.Motion in Plane Non-uniform Circular Motion (Centrifugal/Centripetal and tangential Accelaration)

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$A$ body of mass $2 \,kg$ moves in a horizontal circular path of radius $5 \,m$. At an instant, its speed is $2 \sqrt{5} \,m/s$ and is increasing at the rate of $3 \,m/s^2$. The magnitude of the net force acting on the body at that instant is: (in $\,N$)

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A
$6$
B
$8$
C
$14$
D
$10$

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3-2.Motion in Plane

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Non-uniform Circular Motion (Centrifugal/Centripetal and tangential Accelaration)

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$A$ body of mass $2 \,kg$ moves in a horizontal circular path of radius $5 \,m$. At an instant, its speed is $2 \sqrt{5} \,m/s$ and is increasing at the rate of $3 \,m/s^2$. The magnitude of the net force acting on the body at that instant is: (in $\,N$)

Similar Questions

In circular motion,the centripetal acceleration is given by

An object is moving on a circular track of radius $450\, m$. At some instant,the object is moving at $30\, m/s$ and gaining speed at a uniform rate of $2\, m/s^2$. Its acceleration at this instant is nearly .......... $m/s^2$.

For a particle in circular motion,$a_r = 3 \ m/s^2$ and $a_T = 4 \ m/s^2$. If $\theta$ is the angle between the resultant acceleration $a$ and the radial acceleration $a_r$,then .......

The acceleration of a particle performing non-uniform circular motion is shown in the diagram at point $P$. If the radius of the circular path is $2 \ m$,then what is the velocity at point $P$ in $m/s$?

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