Question

The equation of the magnitude of momentum is p = mv, where m is mass and v is speed. What is the dimension of this? a. ML³ b. ML/T c. M²L d. L³

Answer 1

Given:

Equation of magnitude of momentum is given as P = mv , where m is mass and v is Velocity.

To find:

Dimension of Momentum

Calculation:

Momentum is given as product of mass and velocity as noted in the equation ;

P = m × v ,

so the dimensions of momentum will be equal to the product of the dimensions of mass and velocity.

$\{P \} = \{m \times v \}$

$= > \{P \} = \{m \}\times \{ v \}$

$= > \{P \} = \{ M\}\times \{ L {T}^{ - 1} \}$

$= > \{P \} = \{ ML {T}^{ - 1} \}$

$= > \{P \} = \bigg \{ \dfrac{ML}{T} \bigg \}$

So, final answer is:

$\boxed{ \bold{ \{P \} = \bigg \{ \dfrac{ML}{T} \bigg \} }}$

Answer 2

Answer:

given =

 

p= m v

m= mass

v= speed

to find ;   diamensions

solution ;

m  =  (m × v)  

     =     { M} × { LT ⁻1}

   =     { MLT⁻1}

P =   { ML / T }