Consider a system of an 85.0 kg man, his 14.5-kg dog, and the earth. The gravitational potential energy of the system increases by 1.85 103 J when the man climbs a spiral staircase from the first to the second floor of an apartment building. If his dog climbs a normal staircase from the same first floor to the second floor, by how much does the potential energy of the system increase (in J)

Question

Physics

Charlotte Werner

17 February, 05:41

Consider a system of an 85.0 kg man, his 14.5-kg dog, and the earth. The gravitational potential energy of the system increases by 1.85 103 J when the man climbs a spiral staircase from the first to the second floor of an apartment building. If his dog climbs a normal staircase from the same first floor to the second floor, by how much does the potential energy of the system increase (in J)

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Answers (1)

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Kiley Neal · Answer 1

Increase in gravitational potential energy = m x g x h

where m is mass, g is gravitational acceleration and h is height

In the first case when man climbs

increase in potential = 85 x g x h = 1.85 x 10³ J

gh = 21.7647

when dog climbs

increase in potential = 14.5 x g x h J

= 14.5 x 21.7647

= 315.6 J