Answer:
Step-by-step explanation:
Law of conservation of momentum : States that if two bodies collide in a closed system, the total momentum before collision is equal to the total momentum after collision
Total momentum before collision = Total momentum after collision
m₁u₁ + m₂u₂ = V(m₁+m₂).............. Equation 1
Where m₁ = mass of the first person, m₂ = mass of the second person, u₁ = initial velocity of the first person, u₂ = initial velocity of the second person, V = common velocity.
Making m₂ the subject of the equation above
m₂ = (m₁u₁ - m₁V)/(V-u₂).............. Equation 2
Given: m₁ = 60 kg, u₁ = 3.0 m/s, u₂ = 0 m/s (at rest). V = 2.0 m/s
Substituting these values into equation 2
m₂ = (60×3 - 60×2)/(2-0)
m₂ = (180 - 120)/2
m₂ = 60/2
m₂ = 30 kg
The mass of the second person = 30 kg