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Figure shows the direction of the total ...

Figure shows the direction of the total acceleration and velocity of a particle moving clockwise in a circle radius `m` at an instant of time. Tangential acceleration this instant is `5m//s^(2)`. Which of the following statements is not correct?

A

The centripetal aceleration is `5sqrt(3)ms^(-2)`

B

Particle is speeding up.

C

The net acceleration is `10 ms^(-2)`

D

The particle is slowing down.

Text Solution

Verified by Experts

The correct Answer is:
D
Since `a_(t)` and `v` are in the same direction, so the particle should be speeding up.

`tan30^@=(a_(t))/(a_(c))`
`implies 1/(sqrt(3))=5/a_(c)impliesa_(c)=5sqrt(3)m//s^(2)`
Net acceleration is
`a=sqrt(a_(c)^(2)+a_(t)^(2))=sqrt((5sqrt(3))^(2)+5^(2))=10 m//s^(2)`
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