In a closed system, an object with a mass of 1.5 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
3.5 kg
3.5 kg
1.5 kg
1.5 kg
5.0 kg
5.0 kg
3.0 kg
To find the mass of the second object, we can use the conservation of momentum principle. According to this principle, the total momentum before the collision is equal to the total momentum after the collision.
Let the mass of the second object be represented by m2.
Before the collision, the momentum of the first object is given by:
momentum1 = mass1 * velocity1 = 1.5 kg * 50 m/s = 75 kg⋅m/s
After the collision, the momentum of the two objects combined is given by:
momentum2 = (mass1 + m2) * velocity2 = (1.5 kg + m2) * 50 m/s
According to the conservation of momentum principle:
momentum1 = momentum2
So, we can set up the equation:
75 kg⋅m/s = (1.5 kg + m2) * 50 m/s
Simplifying the equation, we get:
75 = 75 + 50m2
Subtracting 75 from both sides, we get:
50m2 = 0
Dividing both sides by 50, we get:
m2 = 0
Therefore, the mass of the second object is 0 kg.
None of the given options match this result, so there may be an error in the provided information or answer choices.