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TS EAMCET · Physics · Motion In Two Dimensions

An object moves along the circle with normal acceleration proportional to tα, 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

  1. A tα-1
  2. B tα/2
  3. C t1+α2
  4. D t2α
Verified Solution

Answer & Solution

Correct Answer

(A) tα-1

Step-by-step Solution

Detailed explanation

Given, Normal acceleration =tα We know, acceleration =an=v2R=tα ∴  ν2=tαR K.E=12 mv2=m2tαR ⇒P=ddtK.E=ddtm2tαR ⇒P=mR2αtα-1 ∴  P∝tα-1
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