The kinetic energy 𝐾 of a particle moving along a circle or radius 𝑅 depends on the distance covered 𝑠 as 𝐾 = 𝑎 𝑠 2 . The force acting on the particle is

Question : The kinetic energy 𝐾 of a particle moving along a circle or radius 𝑅 depends on the distance covered 𝑠 as 𝐾 = 𝑎 𝑠 2 . The force acting on the particle is

(A) 2 𝑎 𝑠 𝑅

(B) 2as\left[ \dfrac{1+s^{2}}{R^{2}}\right] ^{\dfrac{1}{2}}

(C) 2 𝑎 s

(D) \dfrac{2as^{2}}{R}

Answer : option (D)

Solution :

The kinetic energy 𝐾 of a particle moving along a circle or radius 𝑅 depends on the distance covered 𝑠 as 𝐾 = 𝑎 𝑠 2 . The force acting on the particle is
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