To solve this problem, we can use the principle of conservation of momentum. The total momentum before the interaction is equal to the total momentum after the interaction.
The formula for momentum is:
p = m * v
Where: p = momentum m = mass v = velocity
The initial momentum is the sum of the momentum of object 1 (m1 * v1) and object 2 (m2 * v2). The final momentum is the sum of the momentum of object 1 (m1 * v1) and object 2 (m2 * v2).
Initial momentum: m1 * v1 + m2 * v2 Final momentum: m1 * v1 + m2 * v2
According to the principle of conservation of momentum, the initial momentum is equal to the final momentum:
m1 * v1 + m2 * v2 = m1 * v1 + m2 * v2
Now we can substitute the given values into the equation:
(5 kg * 200 m/s) + (4 kg * V2) = (5 kg * 200 m/s) + (4 kg * V2)
Simplifying the equation:
1000 kg m/s + 4 kg * V2 = 1000 kg m/s + 4 kg * V2
The 1000 kg m/s terms cancel out on both sides of the equation:
4 kg * V2 = 4 kg * V2
Thus, the velocity of object 2 (V2) remains the same. It cannot be determined using the given information.
