How much has the gravitational potential energy increased byher climbing the sta

Question

How much has the gravitational potential energy increased byher climbing the stairs? How much work has gravity done on her as sheclimbed the stairs? How much work has gravity done on her as sheclimbed the stairs? A 575 {rm N} woman climbs a staircase that rises at53.0^circ above the horizontal and is 4.75 { m m} long. Her speed is a constant 45.0 {rm cm/s}. How much has the gravitational potential energy increased byher climbing the stairs? How much work has gravity done on her as sheclimbed the stairs?

Explanation / Answer

We have:
      = 53 o       W = 575 N     L = 4.75 m Speed v = 45 cm / s               =0.45 m / s     h = L sin        = 3.7935 m a) Gravitational potential energy increased by her climbingthe stairs = W h                                                                                                                =2181.27 J b) Work has gravity done on her as she climbed the stairs= - 2181.27 J

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