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;

$\boxed{F_c = \frac{mv^2}{r}}$

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:

$F_c = \frac{10.8(5^2)}{5} = \boxed{54N}$