The ear A of mass 1500 kg, travelling at 25 m/s collides with another car B of
mass 1000 kg travelling af 15 m/s in the same direction. After collision the
velocity of car A becomes 20 m/s.
(1) What is the momentum of the car A before collision?
(a) 30000 km/s
(b) 37500 kg m/s
( 15000 kgm/s
(d) 52500 kg. m/s
What is the total momentum of car A and car B before collision?
(03750 kg. m/s
(b) 37500 kg. m/s
(c) 15000 kg, m/s
(d) 52500 kg. m/s
please answer this question
Answers
Answer:
Given,
Mass 1 (m₁) = 1500 kg
Initial Velocity 1 (u₁) = 25 m/s
Mass 2 (m₂) = 1000 kg
Initial Velocity (u₂) = 15 m/s
Final Velocity 1 (v₁) = 20 m/s
i. Momentum of Car A before collision = m₁u₁
= (1500*25) kg.m/s
= 37500 kg.m/s
ii. Momentum of Car B before collision = m₂u₂
= (1000*15) kg.m/s
= 15000 kg.m/s
Total Momentum of Car A and B before Collision = m₁u₁+m₂u₂
= (37500+15000) kg.m/s
= 52500 kg.m/s
iii. Let the Velocity of Car B after Collision be v₂.
According to law of conservation of momentum,
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
= 52500 = (1500*20) + (1000v₂)
= 52500 = 30000 + 1000v₂
= 22500 = 1000v₂
= 22.5 m/s = v₂
i. The Momentum of Car A before Collision is 37500 kg.m/s
ii. The Total Momentum of Car A and B before Collision is 52500 kg.m/s
iii. The Velocity of Car B after Collision will be 22.5 m/s
I hope this helps.
From the given question the correct answer is;
i. The Momentum of Car A before Collision is 37500 kg.m/s
ii. The Total Momentum of Car A and B before Collision is 52500 kg.m/s
iii. The Velocity of Car B after Collision will be 22.5 m/s
Solution:
Given,
Mass 1 (m₁) = 1500 kg
Initial Velocity 1 (u₁) = 25 m/s
Mass 2 (m₂) = 1000 kg
Initial Velocity (u₂) = 15 m/s
Final Velocity 1 (v₁) = 20 m/s
i. Momentum of Car A before collision = m₁u₁
= (1500*25) kg.m/s
= 37500 kg.m/s
ii. Momentum of Car B before collision = m₂u₂
= (1000*15) kg.m/s
= 15000 kg.m/s
Total Momentum of Car A and B before Collision = m₁u₁+m₂u₂
= (37500+15000) kg.m/s
= 52500 kg.m/s
iii. Let the Velocity of Car B after Collision be v₂.
According to law of conservation of momentum,
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
= 52500 = (1500*20) + (1000v₂)
= 52500 = 30000 + 1000v₂
= 22500 = 1000v₂
= 22.5 m/s = v₂
i. The Momentum of Car A before Collision is 37500 kg.m/s
ii. The Total Momentum of Car A and B before Collision is 52500 kg.m/s
iii. The Velocity of Car B after Collision will be 22.5 m/s