Newton's Laws Legacy Problem #1 Guided Solution
Problem*
An African elephant can reach heights of 13 feet and possess a mass of as much as 6000 kg. Determine the weight of an African elephant in Newtons and in pounds. (Given: 1.00 N = .225 pounds)
Audio Guided Solution
Every good problem solver has a solid understanding of relationships, not just of mathematical equations, but of the conceptual meaning of terms such as mass and weight. A good problem solver in this unit is going to see the word mass and kilograms and going to relate that to one another and clearly distinguish it from quantities like weight and newtons. Here we are told we have an African elephant and the typical mass is 6000 kilograms for a mature male and we are asked to calculate the weight of the elephant in newtons. So of course you do need an equation that relates the kilograms to the newtons, but you also need to make sure throughout the whole unit that you are distinguishing between mass in kilograms and weight in newtons and not confusing the two. So to find the weight, what we need to do is use an equation that relates it to mass and that equation is that the weight is equal to m times g, where g is the gravitational field constant or the gravitational acceleration. This value is 9.8 newtons per kilogram, sometimes expressed as 9.8 meters per second per second. So I need to take my mass of 6000 and multiply it by the value of g and that gives me an answer in newtons. The final part of this question is to convert the value of weight in newtons to the quantity in pounds. You see the converting information there that 1 newton is equivalent to 0.225 pounds. So if you multiply by the conversion factor 0.225 pounds over 1 newton you will be able to do your converting.
Solution
58800 N or 13230 lb
Habbits of an Effective Problem Solver
- Read the problem carefully and develop a mental picture of the physical situation. If necessary, sketch a simple diagram of the physical situation to help you visualize it.
- Identify the known and unknown quantities in an organized manner. Equate given values to the symbols used to represent the corresponding quantity - e.g., \(v_o = \units{0}{\unitfrac{m}{s}}\); \(a = \units{4.2}{\unitfrac{m}{s^2}}\); \(v_f = \units{22.9}{\unitfrac{m}{s}}\); \(d = \colorbox{gray}{Unknown}\).
- Use physics formulas and conceptual reasoning to plot a strategy for solving for the unknown quantity.
- Identify the appropriate formula(s) to use.
- Perform substitutions and algebraic manipulations in order to solve for the unknown quantity.
Read About It!
Get more information on the topic of Newton's Laws at The Physics Classroom Tutorial.