Question

Two objects A and B are of mass m, velocity 2v and mass 2m and velocity v/2 respectively. Which one has greater inertia and greater momentum? Justify your answer.​

Answer 1

Anѕwєr :

• Object B has greater inertia than Object A.

• Object A has greater momentum than Object B.

Explαnαtion :

As per the provided information in the given question, we have :

• Mass of object A = m
• Velocity of object A = 2v
• Mass of object B = 2m
• Velocity of object B = v/2

We've to calculate which object's inertia and momentum is.

In order to find which one has greater inertia, we can find it by observing the mass of both bodies. More the mass of the body, more it has inertia.

Here,

⠀⠀⠀⠀⠀★ Mass of A = m

⠀⠀⠀⠀⠀★ Mass of B = 2m

$\dashrightarrow\sf{m < 2m}$

$\dashrightarrow\sf{Mass_A < Mass_B}$

∴ Object B has greater inertia than Object A.

$\rule{200}2$

Now, in order to calculate which one has greater momentum, we need to calculate the momentum of both object.

❝ Momentum is the product of mass and velocity.❞

Momentum of Object A :

$\implies\sf{p_A = m_A \times v_A }$

• Mass of object A = m
• Velocity of object A = 2v

$\implies\sf{p_A = m \times 2v }$

$\implies\boxed{\sf{p_A = 2mv \; kg. m\:s^{-2} }}$

Momentum of Object B :

$\implies\sf{p_B = m_B \times v_B }$

• Mass of object B = 2m
• Velocity of object B = v/2

$\implies\sf{p_B = \cancel{2}m \times \dfrac{v}{\cancel{2}} }$

$\implies\sf{p_B = m \times v }$

$\implies\boxed{\sf{p_B = mv \; kg. m\:s^{-2} }}$

On comparing the momentum of both object we get that,

$\dashrightarrow\sf{2mv > mv}$

$\dashrightarrow\boxed{\sf{Momentum_A > Momentum_B}}$

∴ Object A has greater momentum than Object B.

$\rule{200}2$

Answer 2

Answer:

hope it helpful

mark me us brainilist

l