solve u^3 - u^2 =2As^2 the dimensionsnal formula
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1
Explanation:
Since, v
2
−u
2
=2 as
⇒ v
2
=u
2
+2 as
∴ [v]=[u]= velocities
=[M
0
L
1
T
−1
]
a= acceleration ,[a]=[M
0
L
1
T
−2
]
s= distance, [s]=[M
0
L
1
T
0
]
hence LHS:−[v]
2
=[M
0
L
1
T
−1
]
2
=[M
0
L
2
T
−2
].....(1)
u
2
=[M
0
L
1
T
−1
]
2
=[M
0
L
2
T
−2
].......(2)
and
[2 as]=[M
0
L
1
T
−2
][M
0
L
1
T
0
]
=[M
0
L
2
T
−2
].........(3)
Two quantities can be added / Subtracted only when having same dimension.
From equation (A),(1),(2),(3)
LHS=RHS
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