Question

10. In an elastic collision, an object with momentum 25 kg. m/s collides with another object moving to the right that has a

momentum 35 kg . m/s. After the collision, both objects are still moving to the right, but the first object's momentum

changes to 10 kg. m/s. What is the final momentum of the second object?

a. 10kg. m/s

b. 20 kg · m/s

c. 35 kg · m/s

d. 50 kg · m/s

Answer 1

Answer:

(d) 50 kg · m/s

Explanation:

Given;

initial momentum of first object, m₁u₁ = 25 kg. m/s

initial momentum of second object, m₂u₂ = 35 kg . m/s

final momentum of the first object, m₁v₁ = 10 kg. m/s

final momentum of the second object, m₂v₂ = ?

O --------------> + O-----------------> = O----------> + O---------------------->

Apply the principle of conservation of linear momentum;

m₁u₁ + m₂u₂  = m₁v₁ + m₂v₂

25 + 35 = 10 + m₂v₂

60 - 10 = m₂v₂

50 = m₂v₂

Therefore, the final momentum of the second object is 50 kg. m/s

(d) 50 kg · m/s

Answer 2

The change in momentum of the second object is obtained as 50 kg · m/s.

From the principle of conservation of linear momentum, the total momentum before collision must be equal to the total momentum after collision. This is because momentum is conserved.

Hence;

25 kg. m/s + 35 kg . m/s = 10 kg. m/s + x

x = 25 kg. m/s + 35 kg . m/s - 10 kg. m/s

x = 50 kg · m/s

The change in momentum of the second object is obtained as 50 kg · m/s.

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