Question

A 31 kg object is experiencing a net force of 25 N while traveling in a circle of radius 25m. What is its velocity?

Answer 1

Answer:

4.5m/s

Explanation:

Given parameters:

Mass of object  = 31kg

Net force  = 25N

radius  = 25m

Unknown:

Velocity  = ?

Solution:

To solve this problem, we must understand that the net force here is a centripetal force.

        F  = $\frac{mv^{2} }{r}$

F is the centripetal force

m is the mass

v is the velocity

m is the mass

               25  = $\frac{31 x v^{2} }{25}$  

               31v²   = 625

                 v²   = 20.2

                v  = 4.5m/s