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Homework Statement
If a ball is dropped from a height (H) its velocity will increase until it hits the ground (assuming that aerodynamic drag due to the air is negligible). During its fall, its initial potential energy is converted into kinetic energy. If the ball is dropped from a height of 880cm, and the impact velocity is 43 feet per second, determine the value of gravity in units of meters per second squared.
Homework Equations
Potential Energy = (mass)(acc of gravity)(height)
Kinetic Energy = 1.2(mass)(final velocity2 - initial velocity2)
=1.2(mass)(velocity)2 ///[FOR NONROTATING BODY]
Work = Force * Distance
The Attempt at a Solution
I am really at a loss for this one. If I plug in impact velocity to find Kinetic Energy (which I don't think I can do since it gave me the impact velocity) I get the following:
KE = 1/2(m)(43f/sec)
If I plug in what I know for Potential Energy I get the following:
PE = m(g)880cm
Also once I convert the 2 I get:
H = 8.8m
iV = 13.72m/s
I do not see how I can solve anything here since I do not have KE or mass. I feel like I need another value before I can do anything, and I have looked extensively in my textbook for examples like this but I have found none that were answered. I also can't get the average velocity since I only know the impact velocity (I would assume it would be (43f/sec)/2), but even if I had that what would be the point? I have no idea where to start, in my class we have went over only the formulas posted and I can't think of a way to solve this. Thanks in advance.