Question

An iron ball of mass 150 g is attached
to one end of a string and rotated
horizontally so that the iron ball
moves along a circle of radius 1m.if
the speed is 8m/s then what is the
centripetal force acting on the ball?​

Answer 1

Explanation:

It's given that the

m(mass of iron ball) = 150g

velocity of the iron ball = 8 m/s

radius of the circle = 1 cm

CGS ( centimetres-grams-seconds) system,

m (mass)= 150 kg

v ( velocity) = 800 cm/s

r (radius) = 1 cm

we know that,

Centripetal force (Fc) = mv²/r

substituting the values we get,

$Fc = \frac{0.15 \times {8}^{2} }{0.01} \\ = \frac{0.15 \times 64}{0.01} \\ = \frac{9.6}{0.01} \\ = 960 \: N$

Thus, there's 960 N of centripetal force acting on the ball.