Problem 7.15 To keep her dog from running away while she talks to a friend, Susa

Question

Problem 7.15

To keep her dog from running away while she talks to a friend, Susan pulls gently on the dog's leash with a constant force given by F = (2.2 N )x^ + (1.4 N )y^ .

Part A

How much work does she do on the dog if its displacement is d = (0.18 m )x^ ,

Express your answer using two significant figures.

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Part B

How much work does she do on the dog if its displacement is d = (0.21 m )y^ ,or

Express your answer using two significant figures.

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Part C

How much work does she do on the dog if its displacement is d = (-0.66 m )x^ + (-0.38 m )y^ ?

Express your answer using two significant figures.

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Problem 7.15

To keep her dog from running away while she talks to a friend, Susan pulls gently on the dog's leash with a constant force given by F = (2.2 N )x^ + (1.4 N )y^ .

Part A

How much work does she do on the dog if its displacement is d = (0.18 m )x^ ,

Express your answer using two significant figures.

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Part B

How much work does she do on the dog if its displacement is d = (0.21 m )y^ ,or

Express your answer using two significant figures.

W = J

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Part C

How much work does she do on the dog if its displacement is d = (-0.66 m )x^ + (-0.38 m )y^ ?

Express your answer using two significant figures.

W = J W = J

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Explanation / Answer

We know that

W =Force x Displacement

part A

W= 2.2N X 0.18m

=>0.396J

=0.40J in two significant figures

part B

W=1.4N x 0.21m

=> 0.294J

=0.29J in two significant figures

part C

W=2.2x(-0.66)+1.4x(-0.38)

=>-1.984J

= -2.0J in two significant figures

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