Work and Energy of a climbing person

[agadag]

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!

 

[Andrew Mason]

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!

PE = Work done against gravity = $\vec F \cdot \vec d = (mg)h =$ weight x height.

You do not have to use g explicitly here since you are given the weight, in Newtons, of one pound of matter. The person weighs 188.3 times that or, as you have found, 837.558 N.

AM