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)
O 5.0 kg
O 3.0 kg
O 1.5 kg
O 3.5 kg
To solve this problem, we can use the conservation of momentum principle.
The total momentum before the collision is given as 250 kg.m/s, which is equal to the total momentum after the collision.
Let m1 be the mass of the first object (1.5 kg) and m2 be the mass of the second object.
The initial momentum of the first object is given as m1 * 0 m/s = 0 kg.m/s.
The initial momentum of the second object is given as m2 * 0 m/s = 0 kg.m/s.
The final momentum of the first object is given as m1 * 50 m/s = 1.5 kg * 50 m/s = 75 kg.m/s.
The final momentum of the second object is given as m2 * 50 m/s = 50m2 kg.m/s.
Using the conservation of momentum, we can set up the equation:
Initial momentum = Final momentum
0 + 0 = 75 + 50m2
Simplifying the equation:
0 = 75 + 50m2
Subtracting 75 from both sides:
-75 = 50m2
Dividing both sides by 50:
-1.5 = m2
The mass of the second object is therefore 1.5 kg.