Question

Object A has a mass m and a speed v, object B has a mass m/2 and a speed 4v, and object C has a mass 3m and a speed v/3. Rank the objects according to the magnitude of their momentum.

Rank from smallest to largest. To rank items as equivalent, overlap them.

Answer 1

Answer:

$P_C=P_A<P_B$

Explanation:

We know that linear momentum is the product of mass and speed ,

P = Mass x Velocity

Given that

For object A :

Mass = m

Speed = v

$P_A = m v$

For object B :

$Mass =\dfrac{m}{2}$

Speed = 4 v

$P_B = \dfrac{m}{2}\times 4v$

$P_B=2 m v$

For object C :

Mass =3 m

$Speed = \dfrac{v}{3}$

$P =3 m\times \dfrac{v}{3}$

$P_C= m v$

Rank of their momentum

$P_C=P_A<P_B$