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Find the work done on the T-shirt by student 3. Express your answer in terms of the variables F0, G, and d, if needed.

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Complete Question

The complete question is shown on the first uploaded image

Answer:

The value is  

Explanation:

From the question we are told that

  The force exerted by student 1 is  [tex]\vec F_1 = F_0 \^ i[/tex]

  The force exerted by  student 2 is [tex]\vec F_2 = - 3 F_o \^ j[/tex]

  The force exerted by  student 3 is  [tex]\vec F_3 = -4F_o \^ i + G \^ j[/tex]

  The displacement of the T-shirt is  [tex]\vec D = 2d\^ i + d\^ j[/tex]

 

Generally  workdone is mathematically represented as

       [tex]W = \vec F * \vec d[/tex]

Generally  workdone is  student 3 mathematically represented as

      [tex]W_3 = \vec F_3 * \vec D[/tex]

=>  [tex]W_3 = -4F_o \^ i + G \^ j * [2 d \^ i + d\vec j ][/tex]

=>  [tex]W_3 = -8F_o d * Gd[/tex]

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