Explanation Given data: Specific power of the an human is 20 W kg . Mass of the sloth ( m ) is 4.0 kg. Height can be climbed by the sloth in 2.0 s ( y ) is 6.0 m. The time interval at which the sloth climbed a height of 6.0 m ( Δ t ) is 2.0 s. Formula used: Refer to the equation (10.23) in the textbook, and write the expression for transformation power for the sloth as follows. P = Δ E Δ t (1) Here, Δ E is the amount of energy (potential energy for the given problem) transformed in a certain time interval, and Δ t is the time interval. Write the expression amount of potential energy transformed by the sloth as follows. Δ E = m g y (2) Here, m is the mass of the sloth, g is the acceleration due to gravity of the earth, which is 9.8 m s 2 , and y is the height that climbed by the sloth. Write the expression to find the specific power for the sloth’s climb as follows. specific power = P m (3) Explanation: Calculation of power provided by the sloth to climb the tree ( P ) : Substitute 4.0 kg for m , 9.8 m s 2 for g , and 6.0 m for y in equation (2), Δ E = ( 4.0 kg ) ( 9.8 m s 2 ) ( 6

College Physics: A Strategic Approach Plus Mastering Physics with Pearson eText -- Access Card Package (4th Edition) (What's New in Astronomy & Physics)

4th Edition

ISBN: 9780134641492

Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field

Publisher: PEARSON

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Chapter 10, Problem 70P

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To find: The specific power for the climb of the sloth.

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Chapter 10, Problem 69P

Chapter 10, Problem 71GP

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College Physics: A Strategic Approach Plus Mastering Physics with Pearson eText -- Access Card Package (4th Edition) (What's New in Astronomy & Physics)

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