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Work Done by a Constant Force A particle moving in the xy-plane undergoes a displacement given by ař = (1.9 i + 3.35) m as a constant force F = (5.01 - 2.05) N acts on the particle. Calculate the work done by F on the particle. SOLUTION Conceptualize Although this example is a little more physical than the previous one in that it identifies a force and a displacement v it is similar in terms of its mathematical structure. Categorize Because vie are given two vectors and asked to find their scalar product, we categorize this example as a substitution v * problem. Substitute the expressions for F and ar into the equation. (Give your answer in 1.) w =F. ai - (5.0i - 2.o) N - (1.9i - 3.35) m -I %3D

Work Done by a Constant Force A particle moving in the xy-plane undergoes a displacement given by ař = (1.9 i + 3.35) m as a constant force F = (5.01 - 2.05) N acts on the particle. Calculate the work done by F on the particle. SOLUTION Conceptualize Although this example is a little more physical than the previous one in that it identifies a force and a displacement v it is similar in terms of its mathematical structure. Categorize Because vie are given two vectors and asked to find their scalar product, we categorize this example as a substitution v * problem. Substitute the expressions for F and ar into the equation. (Give your answer in 1.) w =F. ai - (5.0i - 2.o) N - (1.9i - 3.35) m -I %3D

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Work Done by a Constant Force A particle moving in the xy-plane undergoes a displacement given by Ar = (1.9 î + 3.3j) m as a constant force F = (5.01 + 2.0j) N acts on the particle. Calculate the work done by F on the particle. SOLUTION Conceptualize Although this example is a little more physical than the previous one in that it identifies (a force and a displacement it is similar in terms of its mathematical structure. Categorize Because we are given two vectors and asked to find their scalar product, we categorize this example as (E substitution v v problem. Substitute the expressions for F and Ar into the equation. (Give your answer in J.] w = F. ar = (5.01 - 2.05) N - [(1.9i + 3.3j) m = ( EXERCISE
Transcribed Image Text:Work Done by a Constant Force A particle moving in the xy-plane undergoes a displacement given by Ar = (1.9 î + 3.3j) m as a constant force F = (5.01 + 2.0j) N acts on the particle. Calculate the work done by F on the particle. SOLUTION Conceptualize Although this example is a little more physical than the previous one in that it identifies (a force and a displacement it is similar in terms of its mathematical structure. Categorize Because we are given two vectors and asked to find their scalar product, we categorize this example as (E substitution v v problem. Substitute the expressions for F and Ar into the equation. (Give your answer in J.] w = F. ar = (5.01 - 2.05) N - [(1.9i + 3.3j) m = ( EXERCISE
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