The model airplane in figure below is flying at a speed of21 m/s on a horizontal

Question

The model airplane in figure below is flying at a speed of21 m/s on a horizontal circle of radius17 m. The mass of the plane is0.72 kg. The person holding the guidelinepulls it in until the radius becomes 9 m.The plane speeds up, and the tension in the guideline becomes fourtimes greater. What is the net work done on the plane? any ideas?? the answer is 177, i just can't work to the answerunfortunately. thanks in advance!! The model airplane in figure below is flying at a speed of21 m/s on a horizontal circle of radius17 m. The mass of the plane is0.72 kg. The person holding the guidelinepulls it in until the radius becomes 9 m.The plane speeds up, and the tension in the guideline becomes fourtimes greater. What is the net work done on the plane? any ideas?? the answer is 177, i just can't work to the answerunfortunately. thanks in advance!!

Explanation / Answer

   speed of airplane v = 21 m/s
   radius of horizontal circle r1 = 17m
   mass of the plane m = 0.72 kg
   when person holding guideline radius ofthe circler2= 9 m    force of tension = 4 F    the kinetic energy of the plane    KE i = 1/2 m v2           =....... J    the initial tension in the guideline
   Tinitial = Fcentripetal             = mv2 /r             = ......... N    the final tension in the guide Tfinal = 4Ti            =109.02  = mv2 / r2                          = (0.9kg) (v2) / 14m
solve for v = ....... m / s
KE f = 1 / 2 (0.9kg) (v)2           =...... J    work done = KEf -KEi                      = ..........J

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