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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
13=5ac
ac=53m/s2
Net acceleration
a=a2c+a2t=(53)2+52=10m/s2


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