Question

Question #471de

Answer 1

`v=5sqrt 5" "m/s`

Explanation:

`F_c : "centripetal force(the blue vector)"`

`v : "velocity (the red vector)"`

`m :"mass of object "`

`r :"radius"`

`"given :"`

`F_c=250N`

`m=4kg`

`r=2m`

`v=?`

`"The centripetal force can be calculated using the fallowing formula."`

`"please notice that; "`

• The centripetal force has directed toward the orbit center.
• The velocity vector is perpendicular to the centripetal corce vector.
• The velocity vector is tangent to the orbit.

`F_c=m *v^2/r`

`250=cancel(4)* v^2/cancel(2)`

`250=2v^2`

`v^2=250/2`

`v^2=125`

`v^2=25*5`

`sqrt (v^2)=sqrt(25*5)`

`v=5sqrt 5" "m/s`