I have to carry a stack of books weighing 10 pounds up a 20 foot ladder. I’m pretty clumsy because: • at the 5 foot mark I drop a book weighing 2 pounds; • at the 10 foot mark I drop a book weighing 1 pound; • at the 15 foot mark I drop a book weighing 3 pounds; (a) Make a graph with the distance I’ve moved up the ladder along the horizontal x-axis and the weight of the stack of books I’m lifting on the vertical axis. Clearly label the axes and relevant features of the graph. (b) How much work did I do lifting the stack of books to the top of the ladder? Explain your reasoning. Give your answer in appropriate units.
I have to carry a stack of books weighing 10 pounds up a 20 foot ladder. I’m pretty clumsy because: • at the 5 foot mark I drop a book weighing 2 pounds; • at the 10 foot mark I drop a book weighing 1 pound; • at the 15 foot mark I drop a book weighing 3 pounds; (a) Make a graph with the distance I’ve moved up the ladder along the horizontal x-axis and the weight of the stack of books I’m lifting on the vertical axis. Clearly label the axes and relevant features of the graph. (b) How much work did I do lifting the stack of books to the top of the ladder? Explain your reasoning. Give your answer in appropriate units.
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter83: Location Of Points
Section: Chapter Questions
Problem 2A
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Question
looking for answers to a) and b)
I have to carry a stack of books weighing 10 pounds up a 20 foot ladder. I’m pretty clumsy
because:
• at the 5 foot mark I drop a book weighing 2 pounds;
• at the 10 foot mark I drop a book weighing 1 pound;
• at the 15 foot mark I drop a book weighing 3 pounds;
(a) Make a graph with the distance I’ve moved up the ladder along the horizontal x-axis
and the weight of the stack of books I’m lifting on the vertical axis. Clearly label the
axes and relevant features of the graph.
(b) How much work did I do lifting the stack of books to the top of the ladder? Explain
your reasoning. Give your answer in appropriate units.
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