Question #471de

1 Answer
Apr 3, 2017

Answer:

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

Explanation:

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#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#