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Exploring Energy ConceptsAn object whose weight is 100 lbf
Chapter 2, Problem 3P(choose chapter or problem)
An object whose weight is \(100 \mathrm{lbf}\) experiences a decrease in kinetic energy of \(500 \mathrm{ft} \cdot \mathrm{lbf}\) and an increase in potential energy of \(1500 \mathrm{ft} \cdot \mathrm{lbf}\). The initial velocity and elevation of the object, each relative to the surface of the earth, are \(40 \mathrm{ft} / \mathrm{s}\) and \(30 \mathrm{ft}\), respectively. If \(g=32.2 \mathrm{ft} / \mathrm{s}^2\), determine
(a) the final velocity, in \(\mathrm{ft} / \mathrm{s}\).
(b) the final elevation, in \(\mathrm{ft}\).
Questions & Answers
QUESTION:
An object whose weight is \(100 \mathrm{lbf}\) experiences a decrease in kinetic energy of \(500 \mathrm{ft} \cdot \mathrm{lbf}\) and an increase in potential energy of \(1500 \mathrm{ft} \cdot \mathrm{lbf}\). The initial velocity and elevation of the object, each relative to the surface of the earth, are \(40 \mathrm{ft} / \mathrm{s}\) and \(30 \mathrm{ft}\), respectively. If \(g=32.2 \mathrm{ft} / \mathrm{s}^2\), determine
(a) the final velocity, in \(\mathrm{ft} / \mathrm{s}\).
(b) the final elevation, in \(\mathrm{ft}\).
ANSWER:Solution
Step 1 of 3
Consider an object whose weight is which experience a decrease in kinetic energy and an increase in potential energy of .
We need to find out the final velocity and the final elevation in if the initial velocity relative to the surface of the earth of the object is and the initial elevation relative to the surface of the earth of the object is .
