9. Two carts are moving toward each other on a track and collide. The following table shows the data for the collision: Mass Initial velocity Final velocity Cart 1 280 g 0.60 m/s to the right 0.20 m/s to the left Cart 2 320 g 0.30 m/s to the left 0.40 m/s to the right (a) What is the coefficient of restitution of this collision? (b) Is this collision totally elastic? Explain. (c) Calculate the initial velocity of the center of mass of the system that includes both carts.
9. Two carts are moving toward each other on a track and collide. The following table shows the data for the collision: Mass Initial velocity Final velocity Cart 1 280 g 0.60 m/s to the right 0.20 m/s to the left Cart 2 320 g 0.30 m/s to the left 0.40 m/s to the right (a) What is the coefficient of restitution of this collision? (b) Is this collision totally elastic? Explain. (c) Calculate the initial velocity of the center of mass of the system that includes both carts.
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I need help on questions 9?
![10.
9.
Two carts are moving toward each other on a track and collide. The following
table shows the data for the collision:
Mass
Initial velocity
Final velocity
Cart 1
280 g
0.60 m/s to the right
0.20 m/s to the left
Cart 2
320 g
0.30 m/s to the left
0.40 m/s to the right
(a) What is the coefficient of restitution of this collision?
(b) Is this collision totally elastic? Explain.
(c) Calculate the initial velocity of the center of mass of the system that includes both carts.
(d) Calculate the change in total momentum of the system that includes both carts and
explain whether what you find is reasonable.
(e) Calculate the change in total kinetic energy of the system that includes both carts and
explain whether what you find is reasonable.
(f) Make a new table that lists the velocities of the carts relative to a reference frame that is
moving 0.20 m/s 'to the left' according to the coordinate system used in the table above.
The map of city streets to the right
shows blocks that are 40 m wide and 75 m
long. A person walks along the streets from
A to B in 2.0 minutes (as directly as they can
while staying on the streets).
(a) What is the magnitude and direction of
the person's displacement?
(b) What is the person's average speed?
(c) What is the person's average velocity?
A
Buronico10
B
Floomy
200mx
11. The position of a 25 kg robot that is moving along a straight track in the x direction is given
by the function r(t) = (0.001 m/s^)t + (-0.04 m/s³)t³+ (0.4 m/s2)t2 between the times t = 0
and t = 20s. The maximum speed of the robot occurs both near t = 5s and t = 15 s. Find
that maximum speed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F06512908-6534-4389-9d07-5dc7e2cbc6af%2F2839fc96-1cd1-4a3d-9d9f-cf4a7fa40f28%2Fu9l8i2f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:10.
9.
Two carts are moving toward each other on a track and collide. The following
table shows the data for the collision:
Mass
Initial velocity
Final velocity
Cart 1
280 g
0.60 m/s to the right
0.20 m/s to the left
Cart 2
320 g
0.30 m/s to the left
0.40 m/s to the right
(a) What is the coefficient of restitution of this collision?
(b) Is this collision totally elastic? Explain.
(c) Calculate the initial velocity of the center of mass of the system that includes both carts.
(d) Calculate the change in total momentum of the system that includes both carts and
explain whether what you find is reasonable.
(e) Calculate the change in total kinetic energy of the system that includes both carts and
explain whether what you find is reasonable.
(f) Make a new table that lists the velocities of the carts relative to a reference frame that is
moving 0.20 m/s 'to the left' according to the coordinate system used in the table above.
The map of city streets to the right
shows blocks that are 40 m wide and 75 m
long. A person walks along the streets from
A to B in 2.0 minutes (as directly as they can
while staying on the streets).
(a) What is the magnitude and direction of
the person's displacement?
(b) What is the person's average speed?
(c) What is the person's average velocity?
A
Buronico10
B
Floomy
200mx
11. The position of a 25 kg robot that is moving along a straight track in the x direction is given
by the function r(t) = (0.001 m/s^)t + (-0.04 m/s³)t³+ (0.4 m/s2)t2 between the times t = 0
and t = 20s. The maximum speed of the robot occurs both near t = 5s and t = 15 s. Find
that maximum speed.
![Review of formulas
Ar V
A7 = avg At (how far, how fast, how long)
P = mv
K = = -mv²
ΔΡ
F = =P or F = 47
dt
At
V Eb = V Es + V sb
V Eb = VbE
7cm=
V
cm
m₁ř₁ + m₂ ₂ + ...
m₁ + m₂ + ...
=
P tot
mtot
m₁v₁ + m₂ √₂+...
m2 2
1
m₁ + m₂ + ...
P final = Pinitial + AP in - A Pout
Isolated system
• Ptoti = P totf
m₁ vi + m₂ 2 = ₁ Vif + m₂²f
V
2f
li
●
e = -
Vif - V2f
Vli - V2i
2
Knonconv== mtot vem
=
Kconv=Ktot-mtot vem
2
Ptot
2mtot](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F06512908-6534-4389-9d07-5dc7e2cbc6af%2F2839fc96-1cd1-4a3d-9d9f-cf4a7fa40f28%2Fwz2iz8k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Review of formulas
Ar V
A7 = avg At (how far, how fast, how long)
P = mv
K = = -mv²
ΔΡ
F = =P or F = 47
dt
At
V Eb = V Es + V sb
V Eb = VbE
7cm=
V
cm
m₁ř₁ + m₂ ₂ + ...
m₁ + m₂ + ...
=
P tot
mtot
m₁v₁ + m₂ √₂+...
m2 2
1
m₁ + m₂ + ...
P final = Pinitial + AP in - A Pout
Isolated system
• Ptoti = P totf
m₁ vi + m₂ 2 = ₁ Vif + m₂²f
V
2f
li
●
e = -
Vif - V2f
Vli - V2i
2
Knonconv== mtot vem
=
Kconv=Ktot-mtot vem
2
Ptot
2mtot
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