A force F = 5 i ^ + 2 j ^ + k ^ displaces a body from a point of coordinate ( 1 , 1 , 1 ) to another point of coordinates ( 2 ,0,3 ). Calculate the work done by the force.

Question

A force F = 5 i ^ + 2 j ^ ​ + k ^ displaces a body from a point of coordinate ( 1 , 1 , 1 ) to another point of coordinates ( 2 ,0,3 ). Calculate the work done by the force.

TestHub · Accepted Answer

W = ( 5 i ^ + 2 j ^ ​ + k ^ ) ⋅ ( i ^ − j ^ ​ + 2 k ^ ) W = 5 ( 1 ) + 2 ( − 1 ) + 1 ( 2 ) W = 5 − 2 + 2 W = 5 J

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