Question

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.

Answer 1

Correct Answer - 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)`