Week 28 Assignment PP
name________________
1. - Question Details Momentum 2D Impulse 3 [1711146]
An object of mass 2.36 kg is moving with a velocity of 10.8 m/s @ 41°. 28.0 s later, the same object is
moving at 46.9 m/s @ 134°.
A. What is the initial momentum in standard vector notation?
B. What is the final momentum in standard vector notation?
C. What are the x and y components of the initial momentum?
D. What are the x and y components of the final momentum?
E. What are the x and y components of the impulse?
Iy: -96.1 N s
25.5 kg m/s@ 41.0°
111 kg m/s@ 134°
Px: 16.7 kg m/s
P'x: 79.6 kg m/s
Ix:
F. What is the impulse in standard vector notation? 115 N s@ 147°
G. What is the applied force in standard vector notation?
4.10 N @ 147°
Py: 19.2 kg m/s
P'y: -76.9 kg m/s
62.9 N s
2. - Question Details Momentum 2D Impulse 2 [1711143]
An object of mass 2.62 kg is moving with a velocity of 16.7 m/s @ 154°. 19.4 s later, the same object is
moving at 32.9 m/s @ 225°.
A. What is the initial momentum in standard vector notation?
B. What is the final momentum in standard vector notation?
C. What are the x and y components of the initial momentum?
D. What are the x and y components of the final momentum?
E. What are the x and y components of the impulse?
F. What is the impulse in standard vector notation?
43.8 kg m/s@ 154°
86.2 kg m/s@ 225°
Px: 19.2 kg m/s
P'x: -61.0 kg m/s
Ix: -80.1 N s
83.0 N s @ 255°
G. What is the applied force in standard vector notation?
4.28 N@ 255°
Py: -39.3 kg m/s
P'y: -61.0 kg m/s
Iy: -21.6 N s
3. - Question Details Momentum 2D elastic collision [1711191]
An object of mass 3.97 kg is moving with a velocity of 27.4 m/s @ 90.0°. It strikes a stationary ball of
mass 3.73 kg in an off-center, partially elastic collision. After the collision, m1 moves away from the
collision with a velocity of 17.4 m/s and an angle θ1' = 24.8°. Solve for the following, and use navigational
angles where appropriate.
A. Momentum of m1 before the collison, in vector notation
m/s@ 90.0°
109 kg
B. X direction momentum of m1 before the collision
109 kg m/s
C. Y direction momentum of m1 before the collision
0.00 kg m/s
D. X direction momentum of m2 before the collision
0.00 kg m/s
E. Y direction momentum of m2 before the collision
0.00 kg m/s
F. System kinetic energy before the collision
1490 J
G. X direction momentum of m1 after the collision
62.7 kg m/s
H. Y direction momentum of m1 after the collision
29.0 kg m/s
I. X direction momentum of m2 after the collision
46.1 kg m/s
J. Y direction momentum of m2 after the collision
-29.0 kg m/s
K. Momentum of m1 after the collison, in vector notation
69.1 kg m/s@ 65.2°
L. Momentum of m2 after the collison, in vector notation
54.4 kg m/s@ 122°
M. Velocity of m2 after the collision, in vector notation
14.6 m/s@ 122°
N. System kinetic energy after the collision 998 J
O. Percent elasticity of this collision
67.0%
4. - Question Details Momentum 2D inelastic collision 1 [1711396]
Object m1 (mass = 2.47 kg) is moving with a velocity of 24.5 m/s @ 126.6°. Object m2 (mass = 3.43 kg) is
moving with a velocity of 22.1 m/s @ 54.3°. The objects collide and stick together, and they move away
from the collision as a single combined mass. Solve for the following, and use navigational angles where
appropriate. Write the symbolic experessions for the x and y direction system momentum in the table.
A. Momentum of m1 before the collison, in vector notation
60.5 kg m/s @ 127°
B. Momentum of m2 before the collison, in vector notation
75.8 kg m/s@ 54.3°
C. X direction momentum of m1 before the collision
48.6 kg m/s
D. Y direction momentum of m1 before the collision
-36.1 kg m/s
E. X direction momentum of m2 before the collision
61.6 kg m/s
F. Y direction momentum of m2 before the collision
44.2 kg m/s
G. X direction momentum of the system 1.10e+02 kg m/s
H. Y direction momentum of the system 8.15 kg m/s
I. System momentum, in vector notation
1.10e+02 kg m/s@ 85.8°
J. System kinetic energy before the collision
1580 J
K. Velocity of combined mass after the collision, in vector notation
L. System kinetic energy after the collision
M. Kinetic energy lost in the collision
18.7 m/s @ 85.8°
1030 J
545 J
5. - Question Details Momentum 2D inelastic truck and car [1716241]
A truck of mass 2290 kg is moving with a velocity of 14.6 m/s to the East. It collides inelastically with a
car of mass 1150 kg moving with a velocity of 40.4 m/s to the North. Report all answers with navigational
angles (where necessary).
A. What is the momentum of the truck before the collision?
33400 kg m/s@ 90.0°
B. What is the momentum of the car before the collision?
46500 kg m/s@ 0.00°
C. What is the momentum of the system?
57200 kg m/s@ 35.7°
D. What is the kinetic energy of the system before the collision?
1.18e+06 J
E. What is the velocity of the combined mass after the collision?
16.6 m/s@ 35.7°
F. What is the kinetic energy of the system after the collision?
4.76e+05 J
G. What is the kinetic energy lost in the collision?
7.06e+05 J
H. What is the impulse on the truck?
32900 N s@ 3.40e+02°
I. What is the impulse on the car?
32900 N s@ 1.60e+02°