KCET 2025 Physics Paper

To determine the acceleration of a particle in uniform circular motion, we start with the equation of the circle:
(x−2)2+y2=25
This equation represents a circle with its center at (2,0) and a radius r of 5 meters, derived from:
r2=25⇒r=5
In uniform circular motion, the centripetal acceleration ac is given by the formula:
ac=‌

v2

r

Substituting the given speed v=2m∕ s and the radius r=5m :
ac=‌

22

5

=‌

4

5

=0.8m∕ s2
When the particle is at the lowest y-coordinate, it is at the point (2,−5), assuming downward is along the negative y-axis. At this point, the acceleration vector, which is directed towards the center of the circle, points horizontally to the right towards the center (2,0). Therefore, the acceleration is entirely in the

^

i

direction:

→

ae

=0.8

^

i

m∕ s2