|Apr14-12, 12:29 PM||#1|
Finding Potential Energy of a Swing When the Ropes Are Horizontal?
1. The problem statement, all variables and given/known data
A 45.0 kg child is in a swing that is attached
to ropes 1.90 m long.
The acceleration of gravity is 9.81 m/s2 .
Find the gravitational potential energy as-
sociated with the child relative to the child’s
lowest position under the following condi-
a) when the ropes are horizontal.
Answer in units of J.
2. Relevant equations
Height of a pendulum:
3. The attempt at a solution
So first I found the height of the swing at a horizontal position which I assumed is as at 90°.
Then I used that height and put it into the formula for potential energy
1213.99 J? = (45)(9.81)(2.75)
but the online homework interface I have to use to input my answer tells me this isn't correct. I was wondering if maybe my answer isn't in Joules, do I need to convert something. Any help would be greatly appreciated.
I realized my problem, i had my calculator in radian's sorry for the stupid question, I'd delete the question if i can find out how
|Apr15-12, 08:25 AM||#2|
The ropes are 1.9 m long while the height you used is 2.75 m. How exactly did you get 2.75 m using h = L(1-cosθ)?
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