- #1
anonymous12
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Homework Statement
For our Work-Energy lab, we are supposed to prove that W = Eg = Ek but no matter what I do, my Eg doesn't not equal the Ek = W.
In this lab, we had a tray dangling via a string which is attached to a cart which is on a dynamic track made out of platinum. We let go of the cart (start the stop watch) and when the cart hits the metal beam (we stop the stop watch). We calculated the ∆h by measuring initial height - final height. What am I doing wrong in my calculations?
mass of cart: 0.25468g
∆t = 1.03
mass of tray = .0199kg
∆h = .488m
∆d = 0.5m
a = .94m/s^2
vf = 0.9682m/s
Homework Equations
Eg = mgh
Ek = .5mv^2
The Attempt at a Solution
Eg = .0199 x 9.8 x .488
Eg = 0.95J
Ek = 0.5 x .25468 x (0.9682)^2
Ek = 0.119J
W = a x m x ∆d
= .94 x .25468 x .5
= 0.119J
According to the Law of conservation of energy, Ek, Eg and W should equal each other or be very close to each other but no matter what, I can't get them to equal each other.