Question

Four objects A, B, C, D have mass 80 kg, 50 kg, 10 kg, 20 kg respectively. They move with same velocity i.e., 90 m/s each. Which of the object has largest momentum?​

Answer 1

$\sf\huge\bold{Answer:}$

Given :

Four objects A, B, C, D

Mass of A = 80 kg

Mass of B = 50 kg

Mass of C = 10 kg

Mass of D = 20 kg

Velocity = 90 m/s each

To find :

The object that has largest momentum.

Solution :

$\fbox{Formula Used :}$

$\sf \red{:⟶momentum(p) = mass(m) \times velocity(v)}$

$\sf \purple{:⟶p∝m}$

$\sf\purple{:⟶p∝v}$

Since,

• Velocity (v) is constant in each case
• mass of A is greater than all other objects

$\sf\huge\orange{A \:has\: the\: largest \:momentum}$

For A

mass(m) = 80kg

velocity(v) = 90 m/s

$\sf \red{:⟶momentum(p) = mass(m) \times velocity(v)}$

$\sf {:⟶momentum(p) =80 kg \times 90m/s}$

$\sf {:⟶momentum(p) = 7200kg/m/s}$

For B

mass(m) = 50kg

velocity(v) = 90 m/s

$\sf \red{:⟶momentum(p) = mass(m) \times velocity(v)}$

$\sf {:⟶momentum(p) =50 kg \times 90m/s}$

$\sf {:⟶momentum(p) = 4500kg/m/s}$

For C

mass(m) = 10kg

velocity(v) = 90 m/s

$\sf \red{:⟶momentum(p) = mass(m) \times velocity(v)}$

$\sf {:⟶momentum(p) =10 kg \times 90m/s}$

$\sf {:⟶momentum(p) = 900kg/m/s}$

For D

mass(m) = 20kg

velocity(v) = 90 m/s

$\sf \red{:⟶momentum(p) = mass(m) \times velocity(v)}$

$\sf {:⟶momentum(p) =20 kg \times 90m/s}$

$\sf {:⟶momentum(p) = 1800kg/m/s}$