A 1.60 m tall person lifts a 1.90 kg book from the ground soit is 2.10 m above t

Question

A 1.60 m tall person lifts a 1.90 kg book from the ground soit is 2.10 m above the ground. A)What is the potential enerygy of the book relative to theground? B)What is the potential energy of the book relative to the topof the person's head? C)How is the work done by the person related to the answeresin A and B? (answer is W) A 1.60 m tall person lifts a 1.90 kg book from the ground soit is 2.10 m above the ground. A)What is the potential enerygy of the book relative to theground? B)What is the potential energy of the book relative to the topof the person's head? C)How is the work done by the person related to the answeresin A and B? (answer is W)

Explanation / Answer

    mass of the person, m = 1.9 kg     height of the person, h = 1.6 m     height of the book, H = 2.1 m (a)     potential energy relative to the ground, PE1 = mg H                                                                      = 1.9 * 9.8 * 2.1                                                                      = 39.102 J (b)     potential energy relative to the person's head,PE2 = m g ( H - h )                                                                      = 1.9 * 9.8 * ( 2.1 - 1.6 )                                                                      = 9.31 J (c)     Work done = gain in potential energy     In case (a), Work = 39.102 J     In case (b), Work = 9.31 J

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