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Question

# Diagram shows the direction of the total acceleration and velocity of a particle moving clockwise in a circle of radius 5/√3 m at an instant of time. Tangential acceleration at this instant is 5 m/s2. Which of the following statements is not correct?

A

The centripetal acceleration is 53m/s2

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B

Particle is speeding up

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C

The net acceleration is 10 m/s2

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D

The particle is slowing down

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Solution

## The correct option is D The particle is slowing down since tangential acceleration and v are in same direction, so particle should be speeding up. tan 30∘=atac ⇒1√3=5ac⇒ ac=5√3m/s2 Net acceleration a=√a2c+a2t=√(5√3)2+52=10m/s2

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