Final answer:
To determine the velocity of the green marble after an 18.2 kg blue marble at 26 m/s hits it and comes to a stop, one applies the principle of conservation of momentum. The calculations indicate a velocity of 56.33 m/s for the green marble. So, none of the given options are correct.
Step-by-step explanation:
The question involves a collision between two marbles where momentum is conserved.
This scenario is a physics problem based on the conservation of linear momentum.
In a momentum conservation problem, the total momentum before the collision equals the total momentum after the collision.
In the given problem, an 18.2 kg blue marble moving at 26 m/s comes to a stop after hitting a stationary 8.4 kg green marble.
To find the velocity of the green marble, we use the conservation of momentum:
Total momentum before collision = Total momentum after collision
(18.2 kg × 26 m/s) + (8.4 kg × 0 m/s) = (18.2 kg × 0 m/s) + (8.4 kg × v)
473.2 kg·m/s = 8.4 kg × v
v = 473.2 kg·m/s / 8.4 kg
v = 56.33 m/s
None of the given options are correct.