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Verified Answer :

SJ2006

Centripetal acceleration = v²/r = 8²/0.50 = 64/0.50 = 32

Centripetal force = mass acceleration = 3 32 = 96 Newton

So, your answer is 96 Newton

Answer : The centripetal force needed is, 384 N

Solution :

Formula used for centripetal force is,

\(F_c=\frac{m\times v^2}{r}\)

where,

\(F_c\) = centripetal force

m = mass of an object = 3 Kg

r = radius of path

v = velocity or speed of an object

Now put all the given values in the above formula, we get the centripetal force.

\(F_c=\frac{3Kg\times (8m/s)^2}{0.5m}=384Kg\text{ m }s^{-2}=384N\)

Therefore, the centripetal force needed is, 384 N