Question

Two bodies of masses 4 kg and 16 kg are moving with the speed of 5 m/s and 10 m/s respectively. What is the ratio of their momentum?
1. 1 : 8
2. 8 : 1
3. 1 : 2
4. 2 : 1

Answer 1

Correct Answer - Option 1 : 1 : 8

CONCEPT:

• Momentum: A property of a body in motion that is equal to the product of the body's mass and velocity is called momentum.

P = mv

where P is the momentum of the body, m is the mass of the body, and v is the velocity of the body.​

CALCULATION:

Given that m1 = 4 Kg and m2 = 16 Kg; velocities v₁ = 5 m/s and v₂ = 10 m/s

\(\frac{P_1}{P_2}=\frac{m_1v_1}{m_2 v_2}\)

\(\frac{P_1}{P_2}=\frac{4 \times 5}{16 \times 10}\)

\(\frac{P_1}{P_2}=\frac{1}{8}\)

So the correct answer is option 1.