Question

The speed of car weinghing 1500kg increasess from 36km/h 75km/h uniformaly what will be change un momentum of the car

Answer 1

Solution :-

Given ,

• Mass of car = 1500 kg
• Initial velocity = 36 km/h = 10m/s
• Final velocity = 75km/h = 20.8 m/s

We need to find ,

• Change in momentum ( ∆p ) = ?

As we know that ,

∆p = Final momentum - initial momentum

• Initial momentum :-

→ Mass × velocity

→ 10 × 1500

→ 15000 kgm/s

• Final momentum :-

→ Mass × velocity

→ 20.8 × 1500

→ 31200 kgm/s

Now , finding change in momentum .

⇒ ∆p = 31200 - 15000

⇒ ∆p = 16200 kgm/s

Hence , change in momentum ( ∆p ) = 16200 kgm/s

Answer 2

Given:

• Mass= 1500kg
• Initial velocity = u = 36km/hr
• Final velocity = v = 75km/hr

━━━━━━━━━━━━━━

Need to find:

• Change in momentum =?

━━━━━━━━━━━━━━

Initial velocity = 36km/hr

⟹ u = $36 \times \dfrac{5}{8}$ m/s

⟹ u = 10m/s

━━━━━━━━━━

And

Final velocity = 75km/hr

⟹ v = $75 \times \dfrac{5}{18}$ m/s

⟹ v = 20.83 m/s

━━━━━━━━━━━

Change in Momentum:

= Mass ( Final velocity - Initial Velocity)

= 1500 × (20.83 - 10) kgm/s

= 1500 × 10.83 kgm/s

=$\red{\bold{\large{\boxed{\boxed{ 16245 kgm/s}}}}}$