An object moves along the circle with normal acceleration proportional to t α , where t is the time and is α a positive constant. The power developed by all the forces acting on the object will have time dependence proportional to

Question

An object moves along the circle with normal acceleration proportional to t α , where t is the time and is α a positive constant. The power developed by all the forces acting on the object will have time dependence proportional to, t α - 1, t α / 2, t 1 + α 2, t 2 α

MARKS App · Accepted Answer

Given, Normal acceleration = t α We know, acceleration = a n = v 2 R = t α ∴ ν 2 = t α R K . E = 1 2 mv 2 = m 2 t α R ⇒ P = d d t K . E = d d t m 2 t α R ⇒ P = m R 2 α t α - 1 ∴ P ∝ t α - 1

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