Answer:
The speed of the sled is 9.2 m/s
The speed of the boulder is 0.82 m/s
Solution:
As per the question:
Mass of the boulder,
Mass of the sled,
Mass of the boy,
Initial Velocity, v = 10.0 m/s
Now,
To calculate the speed of both the sled and the boulder after the occurrence of the collision:
m =
Initial velocity of the boulder,
Since, the collision is elastic, both the energy and momentum rem,ain conserved.
Now,
Using the conservation of momentum:
where
v' = final velocity of the the system of boy and sled
= final velocity of the boulder
(1)
Now,
Using conservation of energy:
(2)
Now, from eqn (1) and (2):
Now,