Question

What centripetal force is needed to keep a 7kg mass moving in a circle of 4 meters radius at 15m/s

Answer 1

We conclude that the centripetal force needed to keep a 7kg mass moving in a circle of 4 meters radius at 15m/s is 393.75 N.

Step-by-step explanation:

Given

• Mass m = 7 kg

• Radius r = 4 m

• Velocity v = 15m/s

To determine

We need to determine the centripetal force needed to keep a 7kg mass moving in a circle of 4 meters radius at 15m/s.

We know a centripetal force acts on a body to keep it moving along a curved path.

We can determine the centripetal force using the formula

`F_c=(mv^2)/(r)`

where

• 
  `m` is the mass

• 
  `v` is the velocity

• 
  `r` is the radius

• 
  `F_c` is the centripetal force

substitute m = 7, r = 4, and v = 15 in the formula

`F_c=(mv^2)/(r)`

`F_c=(7\left(15\right)^2)/(4)`

`F_c=(1575)/(4)`

`F_c=393.75` N

Therefore, we conclude that the centripetal force needed to keep a 7kg mass moving in a circle of 4 meters radius at 15m/s is 393.75 N.