1.

The velocity of a body of mass 2 kg moving in circle of radius 3 m at any time is 3 m//s. If its speed is increasing at the rate of 4 m//s^(2) then the net acceleration on the body is :

Answer»

`4 m//s^(2)`
`3 m//s^(2)`
`7 m//s^(2)`
`5 m//s^(2)`

Solution :Centripetal acceleration, `a_(C)=(upsilon^(2))/(r)=((3)^(2))/(3)=3m//s^(2)`
Tangential acceleration, `a_(t) = 4 m/s^(2)`

:.net acceleration, `a = SQRT(a_(c)^(2) + a_(t)^(2))= sqrt((3)^(2)+ (4)^(2))`
`= 5 m//s^(2)`
HENCE the correct CHOICE is (d)


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