(D) When a force acts perpendicular to the velocity of a particle,it does not change the magnitude of the velocity (speed),only its direction. This re

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(D) When a force acts perpendicular to the velocity of a particle,it does not change the magnitude of the velocity (speed),only its direction. This results in uniform circular motion.Since the speed $v$ remains constant,the kinetic energy $K = \frac{1}{2}mv^2$ remains constant.Because the force is always perpendicular to the velocity and the magnitude of the force is constant,the particle moves in a circular path.Therefore,both statements $(a)$ and $(c)$ are correct.

Class 11 Physics 3-2.Motion in Plane Mix Examples-Motion in Plane

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$A$ particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane. It follows that:

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A
It moves in a circular path
B
Acceleration is constant
C
Kinetic energy is constant
D
Both $(a)$ and $(c)$

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Mix Examples-Motion in Plane

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$A$ projectile is thrown with a velocity of $10\,m/s$ at an angle of $60^{\circ}$ with the horizontal. The time interval between the moments when the speed is $\sqrt{5g}\,m/s$ is $..........\,s$ (take $g=10\,m/s^2$).

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The coordinates of a particle moving in the $x-y$ plane are given by: $x = 2 + 4t$,$y = 3t + 8t^2$. The motion of the particle is:

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$A$ particle moves along a circle with a constant angular speed $\omega$. Its displacement,with respect to the initial position of the particle at time $t = 0$,is plotted against time. The graph would look like:

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$A$ particle is moving in $x-y$ plane according to $\vec{r} = b \cos \omega t \hat{i} + b \sin \omega t \hat{j}$,where $\omega$ is a constant. Which of the following statement$(s)$ is/are true?

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$A$ body starts from rest from the origin with an acceleration of $6\,m/s^2$ along the $x$-axis and $8\,m/s^2$ along the $y$-axis. Its distance from the origin after $4\,s$ will be........$m$

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$A$ particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane. It follows that:

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$A$ projectile is thrown with a velocity of $10\,m/s$ at an angle of $60^{\circ}$ with the horizontal. The time interval between the moments when the speed is $\sqrt{5g}\,m/s$ is $..........\,s$ (take $g=10\,m/s^2$).

The coordinates of a particle moving in the $x-y$ plane are given by: $x = 2 + 4t$,$y = 3t + 8t^2$. The motion of the particle is:

$A$ particle moves along a circle with a constant angular speed $\omega$. Its displacement,with respect to the initial position of the particle at time $t = 0$,is plotted against time. The graph would look like:

$A$ particle is moving in $x-y$ plane according to $\vec{r} = b \cos \omega t \hat{i} + b \sin \omega t \hat{j}$,where $\omega$ is a constant. Which of the following statement$(s)$ is/are true?

$A$ body starts from rest from the origin with an acceleration of $6\,m/s^2$ along the $x$-axis and $8\,m/s^2$ along the $y$-axis. Its distance from the origin after $4\,s$ will be........$m$

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