Homework 8 Due March 6 2007
1) A stationary block of mass M in empty space explodes into 3 fragments of mass m
1
,
m
2
, m
3
where M=m
1
+m
2
+m
3
. Let E
1
, E
2
and E
3
be the energy of these fragments
respectively and let E=E
1
+E
2
+E
3
be the total energy released in the explosion.
a) Show that
2
2
3
3
1
1
3
3
1
1
2
2
1
1
2
2
3
3
m E
m E
m E
m E
m E
m E
m E
m E
m E
+
≥
+
≥
+
≥
b) Sketch a picture of the relative direction of the momenta of the particles if the first
line of the above is saturated, i.e. if
2
2
3
3
1
1
m E
m E
m E
+
=
.
2) A projectile is fired at 100 m/s, at an angle of 60º from the ground. At the top of its
parabolic motion, the projectile explodes and breaks into two pieces. The large piece
(70% of the mass) comes out of the explosion with a horizontal velocity and lands
exactly where the projectile was fired in the first place. How far from this point (i.e. the
launch point) does the smaller piece land?
3) A uniform cylinder of mass M and radius R, initially at rest, is pulled up an incline of
angle
θ
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '08
 HerreraSiklody
 Energy, Mass, Momentum, Work, P2 P1 P3, Wmotor, P1 = P1

Click to edit the document details