A particle acted on by constant forces 4 i ^ + j ^ − 3 k ^ and 3 i ^ + j ^ − k ^ to the point 5 i ^ + 4 j ^ − k ^ . The total work done by the forces is

Question

A particle acted on by constant forces 4 i ^ + j ^ ​ − 3 k ^ and 3 i ^ + j ^ ​ − k ^ to the point 5 i ^ + 4 j ^ ​ − k ^ . The total work done by the forces is

TestHub · Accepted Answer

F + F 1 ​ + F 2 ​ = 7 i + 2 j − 4 k d = P ⋅ V of B − P ⋅ V of A = 4 i + 2 j − 2 k W = F ⋅ d = 28 + 4 + 8 = 40 unit

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