A person weighing 188.3 lb must climb to a height of approximately 0.36 meters to gain 3 kilojoules (3000 joules) of potential energy. The potential energy (PE) is calculated using the formula PE = MGH, where M is the mass in kilograms, G is the acceleration due to gravity (9.8 m/s²), and H is the height in meters. The weight in Newtons is derived from the conversion of pounds to Newtons, resulting in 837.558 N for the given weight. The calculation confirms that the height required for the energy gain is achievable.
PREREQUISITESThis discussion is beneficial for physics students, educators, and anyone interested in understanding the relationship between weight, height, and potential energy in climbing scenarios.
PE = Work done against gravity = \vec F \cdot \vec d = (mg)h = weight x height.agadag said:Homework Statement
How many meters above the ground would a person ( 188.3 lb ) have to climb to gain 3 kilojoules ( 3000 joules ) of potential energy. We usually measure our weight ( W = mg ) in pounds. For conversions, you may need to know that 1 pound is equal to 4.448 Newtons.
Homework Equations
PE = MGH
The Attempt at a Solution
3000=837.558*9.8*h
I used this to solve for h...not working! please help!