2. A system contains two objects. Object 1 has a mass of 220 g and is moving with a velocity (15 m/s). Object 2 has a mass of 150 g. What must the velocity of object 2 be for the total system momentum to be zero? 3. Express the vector A = 41 m/s @ - -47° in terms of its components.

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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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Questions
1. (a) What does it mean to say that momentum is a conserved quantity?
(b) Under what circumstance(s) will the change in momentum of a system be zero?
2. A system contains two objects. Object 1 has a mass of 220 g and is moving with a velocity
(15 m/s). Object 2 has a mass of 150 g. What must the velocity of object 2 be for the total
system momentum to be zero?
3. Express the vector A = 41 m/s @ -47° in terms of its components.
4. If they are sensible computations, complete the calculations given below. If the requested
calculation does not make sense, explain what makes it nonsense.
(a)
21 kg
14 kg
-
-12 m/s
22 m/s
7. Two carts collide on a level, frictionless track.
Just before they collide, the 370 g cart had a
velocity of 1.7 m/s & and the 600 g cart had a
velocity of -1.7 m/s. If they stick together,
what will their velocity be just after the colli-
sion?
(b) 6.0s
8. The motion of an object along a horizontal
surface is described by the motion diagram in
part (a) of the figure to the right. Which of
the three graphs below that motion diagram is
the most correct representation of the velocity
of the object? Explain your choice.
5. Sketch a graph of velocity as a function of time for an object that is located at x = 3m
at t = 0 and is moving at a constant velocity of (-2.0 m/s) Make sure to label your axes,
including appropriate scales and units to show at least 4 seconds of time.
6. Similarly, sketch a graph of position as a function of time for the object in question 5.
(a)
4₁ = 0
x₁ = 0
V₁ = 0
4.0 m/s
-8.0 m/s
(b)
>t
+
(c)
-22 m
46 m
>t
(d)
L
>t
Transcribed Image Text:Questions 1. (a) What does it mean to say that momentum is a conserved quantity? (b) Under what circumstance(s) will the change in momentum of a system be zero? 2. A system contains two objects. Object 1 has a mass of 220 g and is moving with a velocity (15 m/s). Object 2 has a mass of 150 g. What must the velocity of object 2 be for the total system momentum to be zero? 3. Express the vector A = 41 m/s @ -47° in terms of its components. 4. If they are sensible computations, complete the calculations given below. If the requested calculation does not make sense, explain what makes it nonsense. (a) 21 kg 14 kg - -12 m/s 22 m/s 7. Two carts collide on a level, frictionless track. Just before they collide, the 370 g cart had a velocity of 1.7 m/s & and the 600 g cart had a velocity of -1.7 m/s. If they stick together, what will their velocity be just after the colli- sion? (b) 6.0s 8. The motion of an object along a horizontal surface is described by the motion diagram in part (a) of the figure to the right. Which of the three graphs below that motion diagram is the most correct representation of the velocity of the object? Explain your choice. 5. Sketch a graph of velocity as a function of time for an object that is located at x = 3m at t = 0 and is moving at a constant velocity of (-2.0 m/s) Make sure to label your axes, including appropriate scales and units to show at least 4 seconds of time. 6. Similarly, sketch a graph of position as a function of time for the object in question 5. (a) 4₁ = 0 x₁ = 0 V₁ = 0 4.0 m/s -8.0 m/s (b) >t + (c) -22 m 46 m >t (d) L >t
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 = VES + V sb
Es
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
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 = VES + V sb Es 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 m₁v1 + m₂ V2 = ₁1f + m₂ ² 2f li ● e = - Vif - V2f Vli - V2i 2 Knoncony == mtot vem = Kconv=Ktot-mtot vem 2 Ptot 2mtot
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