Question

$\huge\sf\red{Q}\orange{U}\green{E}\blue{S}{T}\pink{I}\red{O}\blue{N}\ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater$

$\huge\sf\red{Please \: solve \: this}\ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater$

$find \: u \: (m/s {}^{2})$

$u(m/s) = \\ a(m/ {s}^{2} = 5 \\ s(m) = 8.4 \\ {v}^{2} = {u}^{2} + 2as(m/s) {}^{2}$
​

Answer 1

Answer:

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 you

Answer 2

Answer:

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 you