10. 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? Strix DE B Froomy phabeter 200mx 1. 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) + (-0.04 m/s³) t³ + (0.4 m/s2) t² between the times t = 0 and t = 20 s. The maximum speed of the robot occurs both near t = 5s and t = 15 s. Find that maximum speed.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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 = - V bE
7cm=
V
cm
m₁ř₁ + m₂ ₂ + ...
m₁ + m₂ + ...
=
P tot
mtot
m₁v₁ + m₂ √₂+...
m2 2
1
m₁ + m₂ + ...
P final - Pinitial+APin - A Pout
=
Isolated system
• Ptoti = P totf
m₁v1 + m₂ V2 = ₁1f + m₂ ²
2f
li
●
e = -
Vif - V2f
Vli - V2i
2
Knoncony == mtot vem
=
Kconv=Ktot-mtot vem
2
Ptot
2mtot
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 = - V bE 7cm= V cm m₁ř₁ + m₂ ₂ + ... m₁ + m₂ + ... = P tot mtot m₁v₁ + m₂ √₂+... m2 2 1 m₁ + m₂ + ... P final - Pinitial+APin - A Pout = Isolated system • Ptoti = P totf m₁v1 + m₂ V2 = ₁1f + m₂ ² 2f li ● e = - Vif - V2f Vli - V2i 2 Knoncony == mtot vem = Kconv=Ktot-mtot vem 2 Ptot 2mtot
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
Buoncon
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.
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 Buoncon 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.
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