Question

Q. 3) A force acts on the object of mass 3kg for the duration of 5s. It increases the object velocity from 6m/s to 9m/s Find
a) Initial momentum of the object
b) Final momentum of the object

Answer 1

Answer:

Initial momentum = 18 kg.m/s

Final momentum = 27 kg.m/s

Explanation:

Given that,

• A force acts on the object of mass 3kg for the duration of 5s. It increases the object velocity from 6m/s to 9m/s.

Considering the statement, we have :

• Mass of the object (m) = 3 kg
• Initial velocity (u) = 6 m/s
• Time taken (t) = 5s $\;\;$
• Final velocity (v) = 9 m/s

We are asked to calculate,

• Initial momentum of the object
• Final momentum of the object

Initial momentum of the object :

⇒ Momentum = Mass × Velocity

⇒ Initial momentum = Mass × Initial velocity

⇒ Initial momentum = 3 kg × 6 m/s

⇒ Initial momentum = 18 kg.m/s

Final momentum of the object :

⇒ Momentum = Mass × Velocity

⇒ Final momentum = Mass × final velocity

⇒ Final momentum = 3 kg × 9 m/s

⇒ Final momentum = 27 kg.m/s

∴ Initial momentum of the object is 18 kg.m/s and final momentum of the object is 27 kg.m/s