Question

calculate the change in momentum a body weighing 5 kg when it's velocity decrease from 20m/sec to 0.20 m/s ​

Answer 1

Given :-

• Mass of body = 5 kg
• Initial velocity = 20 m/s
• Final velocity = 0.2 m/s

To find :-

• Change in momentum = ∆p = ?

Solution :-

We know that:

Momentum = Mass × Velocity

Here, velocity of the object has decreased. So, the formula can be modified as

Momentum = (Mass) × (Change in velocity)

Writing it mathematically,

∆p = m × (v - u)

where:

• v is the final velocity
• u is the initial velocity.

Substitute the given values,

∆p = 5 × (20 - 0.2)

⇒ ∆p = 5 × (19.8)

⇒ ∆p = 99 kg m/s

∴ Change in momentum = 99 kg m/s

Answer 2

Explanation:

We know that:

Momentum = Mass × Velocity

Here, velocity of the object has decreased. So, the formula can be modified as

Momentum = (Mass) × (Change in velocity)

Writing it mathematically,

∆p = m × (v - u)

where:

v is the final velocity

u is the initial velocity.

Substitute the given values,

∆p = 5 × (20 - 0.2)

⇒ ∆p = 5 × (19.8)

⇒ ∆p = 99 kg m/s

∴ Change in momentum = 99 kg m/s