2) check the climenstional Correctiess of
es
s=ut + I at², v²2,00
2
= gas
v=nt at
9
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Check the accuracy of relation v
2
−u
2
=2as, where v and u are final and initial velocities, a is the acceleration, and s is the distance.
Medium
Solution
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We have v
2
−u
2
=2as.
Checking the dimensions on both sides, we get
LHS=[LT
−1
]
2
−[LT
−1
]
2
=[L
2
T
−2
]−[L
2
T
−2
]=[L
2
T
−2
]
RHS=[L
1
T
−2
][L]=[L
2
T
2
]
Comparing LHS and RHS, we find LHS = RHS.
Hence, the formula is dimensionally correct.
hope it helps ☺️
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