Which produces the greater change in kinetic energy (assume that all of the work goes into kinetic energy):Group of answer choicesexerting a 10 N force for a distance of 5 mexerting a force of 20 N over a distance of 2 mexerting a 30 N force for a distance of 1.5 mexerting a force of 40 N over a distance of 1 m
Question
Which produces the greater change in kinetic energy (assume that all of the work goes into kinetic energy):Group of answer choicesexerting a 10 N force for a distance of 5 mexerting a force of 20 N over a distance of 2 mexerting a 30 N force for a distance of 1.5 mexerting a force of 40 N over a distance of 1 m
Solution
The change in kinetic energy can be calculated using the work-energy theorem, which states that the work done on an object is equal to the change in its kinetic energy. The formula for work is W = F * d, where W is work, F is force, and d is distance.
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For a 10 N force over a distance of 5 m, the work done is W = 10 N * 5 m = 50 J (Joules).
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For a 20 N force over a distance of 2 m, the work done is W = 20 N * 2 m = 40 J.
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For a 30 N force over a distance of 1.5 m, the work done is W = 30 N * 1.5 m = 45 J.
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For a 40 N force over a distance of 1 m, the work done is W = 40 N * 1 m = 40 J.
Therefore, exerting a 10 N force for a distance of 5 m produces the greatest change in kinetic energy.
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