Question

The force acting on a particle is found to be proportional to velocity. The constant of proportionality is measured in terms of (substitute the unit for force and velocity and find the unit of constant of proportionality. F = kv)

Answer 1

Answer:

The force acting on a particle is found to be proportional to velocity. The constant of proportionality is measured in terms of (substitute the unit for force and velocity and find the unit of constant of proportionality. F = kv)

Explanation:

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Answer 2

Answer:

The dimensional formula of k is $M^{1} T^{-1}$.

Explanation:

Given:

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

$[V]= L^{1} T^{-1}$

Here,

The dimensional formula of F is denoted by [F].

The dimensional formula of V is denoted by [V].

The dimensional formula of k is denoted by [k].

M, L and T denote the fundamental dimensions of mass, length and time.

Now,

By the equation,

F = kV

$[k]=\frac{[F]}{[V]}$

$[k]=\frac{M^{1} L^{1} T^{-2}}{L^{1} T^{-1}}$

$[k]=M^{1} T^{-1}$

So, the dimensional formula of k is $M^{1} T^{-1}$.