Question

A body weighing 108N moves with seed of 5ms–¹ in a horizontal circular path of radius 5m. Calculate the magnitude of the centripetal force acting on the body .(g=10m/s²)

Answer 1

Hi there!

Recall the equation for centripetal force;

`\boxed{F_c = (mv^2)/(r)}`

m = mass (kg)

v = velocity (m/s)

r = radius (m)

We are not given the mass directly, we are given the object's weight.

`W = mg`

`108 = 10m \\\\m = 10.8 kg`

Now, we can plug this value along with the given velocity and radius to solve:

`F_c = (10.8(5^2))/(5) = \boxed{54N}`