(D) The centripetal force is given by the formula $F_c = \frac{mv^2}{r}$.Since the speed $v$ remains constant,the mass $m$ is constant,and the radius

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(D) The centripetal force is given by the formula $F_c = \frac{mv^2}{r}$.Since the speed $v$ remains constant,the mass $m$ is constant,and the radius $r$ of the circular path remains the same,the magnitude of the centripetal force remains unchanged.The centripetal force is always directed towards the center of the circle,regardless of whether the body moves clockwise or counter-clockwise.Therefore,reversing the direction of motion does not change the magnitude or the direction of the centripetal force.Thus,both statements $(a)$ and $(c)$ are correct.

Class 11 Physics 2 Motion in a Plane Mix Examples-Motion in Plane

Easy

$A$ body is revolving with a constant speed along a circle. If its direction of motion is reversed but the speed remains the same,then which of the following statements is true?

A
The centripetal force will not suffer any change in magnitude.
B
The centripetal force will have its direction reversed.
C
The centripetal force will not suffer any change in direction.
D
Both $(a)$ and $(c)$.

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2 Motion in a Plane

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Mix Examples-Motion in Plane

$A$ wheel completes $2000$ rotations in covering a distance of $9.5\,km$. The diameter of the wheel is:

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Two balls are thrown simultaneously from the ground with the same velocity of $10\,m/s$ but at different angles of projection with the horizontal. Both balls fall at the same distance $5\sqrt{3}\,m$ from the point of projection. What is the time interval between the balls striking the ground?

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$A$ body of mass $1\,kg$ is projected with velocity $50\,m/s$ at an angle of $30^{\circ}$ with the horizontal. At the highest point of its path,a force of $10\,N$ starts acting on the body for $5\,s$ vertically upward in addition to the gravitational force. What is the horizontal range of the body? $\left(g=10\,m/s^2\right)$

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The given diagram shows a straight length of tape being wound on to a reel. The reel is rotating about a fixed axis with constant angular velocity and its radius is increasing at a steady rate. Which graph correctly shows the variation with time of the speed $v$ at which the tape moves towards the roll?

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$A$ particle is moving in a circle with uniform speed '$v$'. In moving from a point to another diametrically opposite point:

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$A$ body is revolving with a constant speed along a circle. If its direction of motion is reversed but the speed remains the same,then which of the following statements is true?

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$A$ wheel completes $2000$ rotations in covering a distance of $9.5\,km$. The diameter of the wheel is:

Two balls are thrown simultaneously from the ground with the same velocity of $10\,m/s$ but at different angles of projection with the horizontal. Both balls fall at the same distance $5\sqrt{3}\,m$ from the point of projection. What is the time interval between the balls striking the ground?

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