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If velocity , time and force were chosen as basic quantities , find the dimensions of mass and energy . |
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Answer» we know that `"Force" ="mass" xx "acceleration"` `="mass" xx("velocity")/("time")` `"mass" =("force"xx "time")/("velocity")` `["mass"]=(["force"xx "time"])/(["velocity"])` `=([F][T])/([v])` `["mass"]=[FTv^(-1)]` Dimensions of energy are same an the dimensions of kinetic energy `["Energy" ]=[(1)/(2)mv^(2)]=[m][v]^(2)` `=[FTv^(-1)][v]^(2)` `=[FTv]` |
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