Question

what are the dimension of a and b in relation p = ax +bx2 where p is momentum and x is distansce ​

Answer 1

Answer:

P = mv

Momentum is product of mass and velocity.

Dimension formula for

• Velocity = [M⁰L¹T-¹]
• Mass = [M¹L⁰T⁰]

Here "x" means length

So for momentum = [M¹L¹T-¹]

Answer 2

Answer:

[a]=[M$T^{-1}$]  and [b]=[M$L^{-1} T^{-1}$]

Explanation:

Since ax and bx2 are added they both have same dimensions which is equal to that of momentum. [a] = [p]/[x]=[ML/T]/[L]=[M$T^{-1}$].

Since ax and bx2 are added they have same dimensions.

[M$T^{-1}$][L]/[$L^{-2}$]=[M$L^{-1} T^{-1}$]

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