A man weighing 60 kg runs along the rails with a velocity of 18 km/h and jumps into the car of mass 1 quintal (100kg) standing on the rails. Calculate the velocity with which car will start travelling along the rails.
Answers
Answer:
Heya mate⭐
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Mass of man (m1)=>60kg
Mass of car (m2)=>100kg
initial velocity of man(u1) =>18km/h =>5m/s
Initial velocity of car (u2)=>0km/h =>0m/s
Final velocity of man(v1)=>v
Final velocity of car (v2)=>v
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According to law of conservation of momentum
m1u1+m2u2=>m1v1 + m2v2
=>300+0 =>60v +100v
=>v =>300/160
=>1.875m/s
hope helps⭐
⏩ **Mass of the man (m1) = 60 kg
*Initial velocity of the man (u1)= 18 km/h = 5 m/s
** Mass of the car (m2) = 100 kg
*Initial velocity of the car (u2)= 0
→After the man jumps into the car, let their common velocity be v.
Applying the law of conservation of momentum,
Total momentum after jump= Total momentum before jump.
(m1 + m2) v= m1u1 + m2u2
= (60 + 100) v= 60 × 5 + 100 × 0
=>160v= 300
=>v= 300/160
=> v= 1.875 m/s [The required solution..]
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Hope it helps..:-)
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