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Q.

A particle of mass 10g moves along a circle of radius 6.4 cm with a constant tangential acceleration. What is the magnitude of this acceleration, if the kinetic energy of the particle becomes equal to 8×10−4J by the end of the second revolution after the beginning of the motion?

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a

0.15 ms−2

b

0.18 ms−2

c

0.2 ms−2

d

0.1 ms−2

answer is D.

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Detailed Solution

WTangential=ΔKE=Kf−Ki 12MV2=8×10−4 12×10×10-2×V2=8×10−4 V2=16×10-2---(1) V2-U2=2aS aT=16×10−22(2πr×2)=16×10−28π×6.4×10−2=0.1ms−2 .

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A particle of mass 10g moves along a circle of radius 6.4 cm with a constant tangential acceleration. What is the magnitude of this acceleration, if the kinetic energy of the particle becomes equal to 8×10−4J by the end of the second revolution after the beginning of the motion?