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PROBLEM 14.20 (Continued)
PROBLEM 14.21
An expert archer demonstrates his ability by hitting tennis balls thrown by an assistant. A 2-oz tennis ball has
a velocity of (32 ft/s)i – (7 ft/s)j and is 33 ft above the ground when it is hit by a 1.2-oz arrow traveling with a
velocity of (165 ft/s)j (230 ft/s)k where j is directed upwards. Determine the position P where the ball and
arrow will hit the ground, relative to Point O located directly under the point of impact.
PROBLEM 14.22
Two spheres, each of mass m, can slide freely on a frictionless,
horizontal surface. Sphere A is moving at a speed 0
v 16 ft/s when it
strikes sphere B which is at rest and the impact causes sphere B to
break into two pieces, each of mass m/2. Knowing that 0.7 s after the
collision one piece reaches Point C and 0.9 s after the collision the
other piece reaches Point D, determine (a) the velocity of sphere A
after the collision, (b) the angle
and the speeds of the two pieces
after the collision.
PROBLEM 14.23
In a game of pool, ball A is moving with a velocity
v
0 when it strikes
balls B and C which are at rest and aligned as shown. Knowing that after
the collision the three balls move in the directions indicated, and that
012 ft/sv
and
6.29 ft/s,
C
v
determine the magnitude of the velocity
of (a) ball A, (b) ball B.
PROBLEM 14.24
A 6-kg shell moving with a velocity v0
(12 m/s) (9 m/s)
ij(360 m/s)k explodes
at Point D into three fragments A, B, and C
of mass, respectively, 3 kg, 2 kg, and 1 kg.
Knowing that the fragments hit the vertical
wall at the points indicated, determine the
speed of each fragment immediately after the
explosion. Assume that elevation changes
due to gravity may be neglected.
1(34)
5
C
v
jk
PROBLEM 14.24 (Continued)
PROBLEM 14.25
A 6-kg shell moving with a velocity
v0(12 m/s) (9 m/s) (360 m/s)
ij k explodes at
Point D into three fragments A, B, and C of mass,
respectively, 2 kg, 1 kg, and 3 kg. Knowing that the
fragments hit the vertical wall at the points
indicated, determine the speed of each fragment
immediately after the explosion. Assume that
elevation changes due to gravity may be neglected.
3(34)
5
C
v
jk
PROBLEM 14.25 (Continued)
PROBLEM 14.26
In a scattering experiment, an alpha particle A is projected with
the velocity 0
(600 m/s) (750 m/s) (800 m/s) uijk
into a
stream of oxygen nuclei moving with a common velocity
v0(600 m/s) .
j After colliding successively with nuclei B and
C, particle A is observed to move along the path defined by the
Points A1(280, 240, 120)and A2(360, 320, 160), while nuclei B
and C are observed to move along paths defined, respectively,
by B1(147, 220, 130), B2(114, 290, 120),and by C1(240, 232, 90)
and C2(240, 280, 75). All paths are along straight lines and all
coordinates are expressed in millimeters. Knowing that the mass
of an oxygen nucleus is four times that of an alpha particle,
determine the speed of each of the three particles after the
collisions.
PROBLEM 14.26 (Continued)
