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3-2.Motion in Plane
medium
An object of mass $m$ moves with constant speed in a circular path of radius $R$ under the action of a force of constant magnitude $F$. The kinetic energy of object is ............
A$\frac{1}{2} F R$
B$FR$
C$2 F R$
D$\frac{1}{4} F R$
Solution
(a)
$KE =\frac{1}{2} m v^2=\frac{1}{2} \frac{F}{a} \times v^2=\frac{1}{2} \frac{F \times v^2}{\left(\frac{v^2}{R}\right)}=\frac{1}{2} F R$
$KE =\frac{1}{2} m v^2=\frac{1}{2} \frac{F}{a} \times v^2=\frac{1}{2} \frac{F \times v^2}{\left(\frac{v^2}{R}\right)}=\frac{1}{2} F R$
Standard 11
Physics