Calculate the change inpotential energy of a 82.8- kg man when he takes an eleva

Question

Calculate the change inpotential energy of a 82.8-kg man when he takes an elevator from thefirst floor to 26th floor, if the distance between floors is4.05 m. (Hint: Usethe equation for the change in gravitational potential energy in auniform gravity field. (Involve mass, acceleration due to gravity,and height)
Calculate the change inpotential energy of a 82.8-kg man when he takes an elevator from thefirst floor to 26th floor, if the distance between floors is4.05 m. (Hint: Usethe equation for the change in gravitational potential energy in auniform gravity field. (Involve mass, acceleration due to gravity,and height)

Explanation / Answer

grav acc is given by:     g = G M /r2         where r is the distance from the center of theEarth. So first find r, then subtract the radius of the Earth to getthe height above Earth's surface (i.e. the altitude)    r = G M / g
= 6.67 x 10-11 * 5.98 x 1024 /4.30
=   9631.175 km The height above Earth =     9631.175 - radius of Earth
                                  =    9631.175 - 6380
     =    3251.175 km    (rounded off)

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