Question

1. Check the dimensional correctness of the following equations: )v=u+at
b) s = ut + 1/2 * a * t ^ 2
(c) v ^ 2 = u ^ 2 - 2as
d) mgh = 1/2 * m * v ^ 2
e) a = v ^ 2 / (r ^ 2)
f) E = m * c ^ 2​

Answer 1

Explanation:

Writing the dimensions of either side of the given equation.

LHS=8=displacement=[M0LT0]

RHS=ut=velocity×time=[M0LT−1][T]=[M0LT0]

and 21at2=(acceleration)×(time)2=[M0LT−2][T]2=[M0LT0]

As LHS=RHS, formula is dimensionally correct.

Answer 2

Explanation:

REFER TO THE ATTACHMENT ❤️