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A helicopter flies over the arctic ice pack at a constant altitude, towing an airborne 137-kg laser sensor that measures the thickness of the ice (see the drawing). The helicopter and the sensor both move only in the horizontal direction and have a horizontal acceleration of magnitude 2.63 m/s2. Ignoring air resistance, find the tension in the cable towing the sensor. Incorrect: Your answer is incorrect.

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okpalawalter8

Answer:

The value is  [tex]T = 1702.91 \ N[/tex]  

Explanation:

From the question we are told that

   The mass of the laser sensor is  [tex]m = 137 \ kg[/tex]

    The horizontal acceleration of the helicopter and the sensor is  [tex]a = 2.63 \ m/s^2[/tex]

Generally the net force on the cable is              

[tex]F = T - W = ma[/tex]

    Here W  is the weight of the sensor  which is evaluated as [tex]W = m * g = 137 * 9.8 = 1342.6 \ N[/tex]

     So

     [tex]T - 1342.6 = 137 * 2.63[/tex]

=>   [tex]T = 360.31 + 1342.6[/tex]  

=>   [tex]T = 1702.91 \ N[/tex]  

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