A 0.50-kg ball that is tied to the end of a 1.0-m light cord is revolved in a ho

Question

A 0.50-kg ball that is tied to the end of a 1.0-m light cord is revolved in a horizontal plane, with the cord making a ? = 30 angle with the vertical. (See the figure below.)

A 0.50-kg ball that is tied to the end of a 1.0-m light cord is revolved in a horizontal plane, with the cord making a ? = 30 angle with the vertical. (See the figure below.) (a) Determine the ball's speed. m/s (b) If, instead, the ball is revolved so that its speed is 4.0 m/s, what angle does the cord make with the vertical? (c) If the cord can withstand a maximum tension of 9.8 N, what is the highest speed at which the ball can move? m/s

Explanation / Answer

tan=mv2/r/(mg)=v2/rg

v=rgtan30 =9.81*tan30 =2.38 m/s

b)tan =v2/rg =16/9.81

=58.48

c)Tsin30=mv2/r=0.5*v2

v=9.8*0.5/0.5 =3.13 m/s

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