d) What is the magnitude and direction of Vem i? Magnitude of Vem i = m/s e) What is the initial KE, before the collision? KEAi J KEBI J Direction of Vcmi = KE₁ =

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Chapter1: Units, Trigonometry. And Vectors
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4) Two cars approach a snow covered (frictionless) intersection. Car A has mass MA = 1600 kg, and
VAI
10 i m/s. Car B has mass MB
1400 kg, and VB =
16 j m/s.
a) Find each of following, in (1,1) notation.
kg m/s
PAI =
Pi
Vemx i =
b) What is the magnitude and direction of pi?
Magnitude of pi
kg m/s
cm¡
=
m/s
PBI
kg m/s
c) Find the (x,y) components of the initial velocity of the center of mass, in (1,1) notation.
Vemy i =
m/s
KEAi =
d) What is the magnitude and direction of Vem i?
Magnitude of Vem i =
m/s
J KEBI=
m/s
e) What is the initial KE, before the collision?
J
kg m/s
Direction of pi
Direction of Vem i =
KE₁ =
Transcribed Image Text:4) Two cars approach a snow covered (frictionless) intersection. Car A has mass MA = 1600 kg, and VAI 10 i m/s. Car B has mass MB 1400 kg, and VB = 16 j m/s. a) Find each of following, in (1,1) notation. kg m/s PAI = Pi Vemx i = b) What is the magnitude and direction of pi? Magnitude of pi kg m/s cm¡ = m/s PBI kg m/s c) Find the (x,y) components of the initial velocity of the center of mass, in (1,1) notation. Vemy i = m/s KEAi = d) What is the magnitude and direction of Vem i? Magnitude of Vem i = m/s J KEBI= m/s e) What is the initial KE, before the collision? J kg m/s Direction of pi Direction of Vem i = KE₁ =
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.
Pr =
g) Use conservation of momentum to the magnitude and direction of the final velocity, V₁.
Magnitude of V=____
m/s
h) What is the kinetic energy of the combined masses just after the collision?
KE₁ =
Off the road, the surface is no longer frictionless, and the coefficient of kinetic friction, 4 = .3. For this
part of the problem, your answer to part h) is KE, for the sliding part.
Direction of V
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?
WNC
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?)
W₁ =
d=
k) Determine the distance the cars will travel before stopping?
m.
Transcribed Image Text: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. Pr = g) Use conservation of momentum to the magnitude and direction of the final velocity, V₁. Magnitude of V=____ m/s h) What is the kinetic energy of the combined masses just after the collision? KE₁ = Off the road, the surface is no longer frictionless, and the coefficient of kinetic friction, 4 = .3. For this part of the problem, your answer to part h) is KE, for the sliding part. Direction of V 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? WNC 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?) W₁ = d= k) Determine the distance the cars will travel before stopping? m.
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