after the hit:
1
2
YA
m+M
D
fk
V
1
32°
d
3
4
www
Scenario: A bullet of mass m is fired from a rifle at an unknown initial speed $v_0$. The
bullet strikes a wooden block of mass M at point 1 and embeds itself in the block. The
block slides a distance d across a flat surface with a small amount of friction, and then up a
ramp with the same coefficient of friction starting at point 2, sloped upwards at a constant
angle of $\theta$. A slant distance D up the ramp at point 3, the block encounters a spring of
force constant k, and compresses it by a distance s before coming to a stop at point 4.
Find the total mechanical energy, the total kinetic energy, the velocity, the
momentum, and the gravitational and spring potential energies before the
collision ("point 0") and at each of the four points labeled in the diagram,
taking the zero of gravitational potential energy at the level of the flat section
between points 2 and 3. Fill out the table below, assuming the following values:
m = 0.025 kg
M = 0.750 kg
d = 3.50 m
D = 10.0 m
k = 2.50 \times 10$^3$ N/m
s = 0.160 m
$\mu_k$ = 0.120
$\theta$ = 32.0°
