An object of mass 5kg and 10kg are moving with 5m/s and 10m/s respectively in opposite direction what will be their combined final velocity
Answers
Answer:
so...
the combined velocity with which it would go.... would be we would be calculating this value by using the law of conservation of momentum
as the total momentum before the impact and after the impact has to remain constant
so total momentum before the impact it is
5 X 5 + 10 X 10 =25+100=125
so the total momentum before the impact is 125
so now the total momentum after the impact is.....
(5+10)*v=125
15v=125
so v which is the combined velocity would be
125/15=8.3333
that's your answer hope it helps
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Their combined velocity will be 8.33 m/s.
Solution :-
Given that an object of mass 5kg and 10kg are moving with 5m/s and 10m/s respectively in opposite direction.
We have to find the combined final velocity.
Now we have ;
→ Mass of first object (m₁) = 5 kg
→ Initial velocity of first object (u₁) = 5 m/s
→ Mass of second object (m₂) = 10 kg
→ Initial velocity of second object (u₂) = 10 m/s
Now as both object will combine. So final velocity of both objects will be same i.e. v₁ = v₂ = v
Now applying law of conservation of momentum :
→ m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
→ 5 × 5 + 10 × 10 = v(5 + 10)
→ 25 + 100 = 15v
→ 125 = 15v
→ v = 125/15
→ v = 8.33 m/s
Hence,
Their combined final velocity = 8.33 m/s