4) Two cars approach a snow covered (frictionless) intersection. Car A has mass M₁ - 1600 kg, and VA 10 m/s. Car B has mass Ma - 1400 kg, and V 16j m/s. 22400 a) Find each of following, in (ij) notation. 1600 kg 1/5 16001 + 224005 PAL= P- kg m/s b) What is the magnitude and direction of p? Magnitude of 5-27527.44 m/s kg m/s Direction of 554.46 As a result of the collision, the cars stick together, and slide off the road. f) Write down the expression for the momentum of the combined masses after the collision. This will be in terms of a variable. 38400 "f Pr g) Use conservation of momentun to the magnitude and direction of the final velocity, V Magnitude of 12.8 Direction of $4.S m/s

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4) Two cars approach a snow covered (frictionless) intersection. Car A has mass M₁ = 1600 kg, and
VA 101 m/s. Car B has mass Mg - 1400 kg, and Va = 16j m/s.
22400
a) Find each of following, in (1.j) notation.
1600+
PAI=
kg m/s
B₁ =
1600T +
+224005
P
b) What is the magnitude and direction of p?
Magnitude of 5 -27527.44 m/s
kg m/s
KEN=
c) Find the (x,y) components of the initial velocity of the center of mass, in (1.j) notation.
5.33 m/s
Vony1 =7.47
S.33+7.47
d) What is the magnitude and direction of Veni?
9.18
Magnitude of Vem 1 =
80000,
m/s
e) What is the initial KE, before the collision?
m/s
KE-179200,
kg m/s
Direction of 554.46
m/s
Direction of Vi
54.46
KE-259200
As a result of the collision, the cars stick together, and slide off the road.
f) Write down the expression for the momentum of the combined masses after the collision.
This will be in terms of a variable.
38400
vf
Pr=
g) Use conservation of momentin to the magnitude and direction of the final velocity, V
Magnitude of =
12.8
Direction of $4.S
h) What is the kinetic energy of the combined masses just after the collision?
KE-24.57X104
Off the road, the surface is no longer frictionless, and the coefficient of kinetic friction, 143. For this
part of the problem, your answer to part h) is KE, for the sliding part.
WNC
i) After some sliding, the cars come to a stop. Use kinetic energy to determine how much work was done.
by the non-conservative force to stop the cars?
-1.35 x 104
m/s
W₁ =
=
J
j) Write down the expression for the work done by friction, in terms of the distance d, to stop. (What is
the normal force, N?)
dm.
k) Determine the distance the cars will travel before stopping?
8.36
m.
Transcribed Image Text:4) Two cars approach a snow covered (frictionless) intersection. Car A has mass M₁ = 1600 kg, and VA 101 m/s. Car B has mass Mg - 1400 kg, and Va = 16j m/s. 22400 a) Find each of following, in (1.j) notation. 1600+ PAI= kg m/s B₁ = 1600T + +224005 P b) What is the magnitude and direction of p? Magnitude of 5 -27527.44 m/s kg m/s KEN= c) Find the (x,y) components of the initial velocity of the center of mass, in (1.j) notation. 5.33 m/s Vony1 =7.47 S.33+7.47 d) What is the magnitude and direction of Veni? 9.18 Magnitude of Vem 1 = 80000, m/s e) What is the initial KE, before the collision? m/s KE-179200, kg m/s Direction of 554.46 m/s Direction of Vi 54.46 KE-259200 As a result of the collision, the cars stick together, and slide off the road. f) Write down the expression for the momentum of the combined masses after the collision. This will be in terms of a variable. 38400 vf Pr= g) Use conservation of momentin to the magnitude and direction of the final velocity, V Magnitude of = 12.8 Direction of $4.S h) What is the kinetic energy of the combined masses just after the collision? KE-24.57X104 Off the road, the surface is no longer frictionless, and the coefficient of kinetic friction, 143. For this part of the problem, your answer to part h) is KE, for the sliding part. WNC i) After some sliding, the cars come to a stop. Use kinetic energy to determine how much work was done. by the non-conservative force to stop the cars? -1.35 x 104 m/s W₁ = = J j) Write down the expression for the work done by friction, in terms of the distance d, to stop. (What is the normal force, N?) dm. k) Determine the distance the cars will travel before stopping? 8.36 m.
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