In a closed system, an object with a mass of 1.5 kg1.5 kg collides with a second object. The two objects then move together at a velocity of 50 m/s . The total momentum of the system is 250 kg⋅m/s . What is the mass of the second object? (1 point) Responses 5.0 kg 5.0 kg 1.5 kg 1.5 kg 3.0 kg 3.0 kg 3.5 kg
Let the mass of the second object be \(m\).
The total momentum of the system is given by the sum of the individual momenta of the two objects: \(250 \, \text{kg} \cdot \text{m/s}\).
The momentum of the first object is given by the product of its mass (\(1.5 \, \text{kg}\)) and its velocity (unknown).
The momentum of the second object is given by the product of its mass (\(m\)) and its velocity (50 m/s).
Therefore, we have the equation \(1.5 \cdot V + m \cdot 50 = 250\).
Since the two objects move together at a velocity of 50 m/s, we can assume that the initial velocity of the first object was 0 m/s.
Thus, the equation becomes \(0 + m \cdot 50 = 250\).
Simplifying, we find \(50m = 250\), which implies \(m = \frac{250}{50} = 5\) kg.
Therefore, the mass of the second object is 5.0 kg.