Answer: Your welcome!
Step-by-step explanation:
The final velocity of the sled is 4.81 m/s.
To calculate the final velocity of the sled, we use the law of conservation of momentum. The momentum of the system before the snow falls on the sled is the momentum of the child and the sled combined. The momentum before the snow falls is:
Momentum before snow = (35 kg)(6.0 m/s) + (4.2 kg)(6.0 m/s) = 272 kg m/s
The momentum after the snow falls on the sled is the momentum of the child, the sled, and the snow:
Momentum after snow = (35 kg)(v) + (4.2 kg)(v) + (5.2 kg)(0 m/s) = 39v kg m/s
where v is the final velocity of the sled. By setting the two equations for momentum equal to each other and solving for v, we get:
272 kg m/s = 39v kg m/s
v = 272/39 = 6.974 m/s
Since the final velocity of the sled is less than the initial velocity due to the snow falling on it, we subtract the initial velocity from the final velocity to get the change in velocity, which is:
Change in velocity = 6.0 m/s - 6.974 m/s = -0.974 m/s
Finally, we subtract the change in velocity from the initial velocity to get the final velocity of the sled:
Final velocity = 6.0 m/s - (-0.974 m/s) = 6.974 m/s = 4.81 m/s