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let us see the dimensions of work work is equal to formula force into displacement again formula for force is equal to mass into acceleration and the displacement is yes now write the si unit for each of the term for mass kilogram for acceleration meter plus second square and for displacement meter now this is equal to kg meter into meter meter square i'm writing denominator on the numerator so this is s to the power of minus 2 now right this is the si unit for work now write the dimensional formula k j is denoted with capital m mass and meter is a unit for length m square is there so l to the power of 2 and here is the second and it was denoted with capital t minus 2 so this is a dimensional formula of work if you like the video don't forget to subscribe the channel thank you for watching this video