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

User Bygrace
by
5.6k points

1 Answer

12 votes

Answer:

4.5m/s

Step-by-step 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 =
(mv^(2) )/(r)

F is the centripetal force

m is the mass

v is the velocity

m is the mass

25 =
(31 x v^(2) )/(25)

31v² = 625

v² = 20.2

v = 4.5m/s

User Derple
by
6.2k points