Question

F×t=m(v-u) is dimensionally correct or not show

Answer 1

Answer:

"The dimensional formula of at is [M0LT-2][T]=[M0LT-1]. Here the dimensions of every term in the given physical relation are the same , hence the given phyical relation is dimensionally correct."

Answer 2

Answer:

F = ma ------{i}

     v = u +at

      at = v - u

      a = v - u / t -----{ii}

from {i} and {ii}

F = m(v - u / t)

Ft = m(v - u)

M¹L¹T⁻² × M⁰L⁰T¹ = M¹(M⁰L¹T⁻¹ - M⁰L¹T⁻¹)

M¹⁺⁰ L¹⁺⁰ T⁻²⁺¹ = M¹ L⁰T⁰× M⁰L¹T⁻¹

M¹L¹T⁻¹ = M¹⁺⁰ L¹⁺⁰ T⁻¹⁺⁰

M¹L¹T⁻¹ = M¹L¹T⁻¹

LHS = RHS

Hence proved