Explanation:
The given data is as follows.
k = 130 N/m, = 17 cm = 0.17 m (as 1 m = 100 cm)
mass (m) = 2.8 kg
When the spring is compressed then energy stored in it is as follows.
Energy =
Now, spring energy gets converted into kinetic energy when the box is launched.
So, =
=
= 1.34
v = 1.15 m/sec
Now,
Frictional force =
=
= 4.116 N
Also, Kinetic energy = work done by friction
1.8515 =
d = 0.449 m
Thus, we can conclude that the box slides 0.449 m across the rough surface before stopping.