Name: G# Page 52-Practice Problem 2.12: Suppose you and the truck are both traveling in the northbound lane. (Let's assume the truck has recently passed you, so we don't need to worry about a collision) If we continue to let north be the positive direction, (a) what is the truck's velocity relative to you and (b) what is your velocity with respect to the truck? Answer: (a) +16km/h, (b) -16km/h.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.6P: In the blizzard of ’88, a rancher was forced to drop hay bales from an airplane to feed her cattle....
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Name:
G#
Page 52-Practice Problem 2.12:
Suppose you and the truck are both traveling in the northbound lane. (Let's assume the
truck has recently passed you, so we don't need to worry about a collision) If we
continue to let north be the positive direction, (a) what is the truck's velocity relative to
you and (b) what is your velocity with respect to the truck? Answer: (a) +16km/h, (b)
-16km/h.
Transcribed Image Text:Name: G# Page 52-Practice Problem 2.12: Suppose you and the truck are both traveling in the northbound lane. (Let's assume the truck has recently passed you, so we don't need to worry about a collision) If we continue to let north be the positive direction, (a) what is the truck's velocity relative to you and (b) what is your velocity with respect to the truck? Answer: (a) +16km/h, (b) -16km/h.
at
T
right side: For a point P relative to frames A and B, P/A = (P)B)(D
rule to use when you apply Equation 2.16. If there are three different frames of refer-
ence, A, B, and C, we can write immediately
UP/A= UP/C + UC/B + UB/A.
and so on.
EXAMPLE 2.12 Relative velocity on the highway
In this example we will solve a relative motion problem involving only two frames of reference. Suppose
you are driving north on a straight two-lane road at a constant 88 km/h (Figure 2.30). A truck traveling at a
constant 104 km/h approaches you (in the other lane, fortunately). (a) What is the truck's velocity relative
to you? (b) What is your velocity with respect to the truck?
SOLUTION
SET UP Let you be Y, the truck be T, and the earth be E, and let the
positive direction be north (Figure 2.30). Then UY/E = +88 km/h.
SOLVE Part (a): The truck is approaching you, so it must be mov-
ing south, giving UT/E= -104 km/h. We want to find UT/Y. Modifying
Equation 2.16, we have
UT/E = UT/Y + UY/E>
UT/Y UT/E UY/E
= -104 km/h - 88 km/h = -192 km/h.
The truck is moving at 192 km/h south relative to you.
Part (b): From Equation 2.17,
Uy/T = -UT/Y = -(-192 km/h) = +192 km/h.
You are moving 192 km/h north relative to the truck.
REFLECT How do the relative velocities change after you and the
truck have passed? They don't change at all! The relative positions of
the objects don't matter. The velocity of the truck relative to you is still
-192 km/h, but it is now moving away from you instead of toward you.
Practice Problem: Suppose you and the truck are both traveling in the
northbound lane. (Let's assume the truck has recently passed you, so
E
UT/E
W-E
ÜY/E
Y
Video Tutor Solution
||||
A FIGURE 2.30 Velocities of you and the truck, relative to the ground.
we don't need to worry about a collision.) If we continue to let north be
the positive direction, (a) what is the truck's velocity relative to you and
(b) what is your velocity with respect to the truck? Answers:
(a) +16 km/h, (b)-16 km/h.
Transcribed Image Text:at T right side: For a point P relative to frames A and B, P/A = (P)B)(D rule to use when you apply Equation 2.16. If there are three different frames of refer- ence, A, B, and C, we can write immediately UP/A= UP/C + UC/B + UB/A. and so on. EXAMPLE 2.12 Relative velocity on the highway In this example we will solve a relative motion problem involving only two frames of reference. Suppose you are driving north on a straight two-lane road at a constant 88 km/h (Figure 2.30). A truck traveling at a constant 104 km/h approaches you (in the other lane, fortunately). (a) What is the truck's velocity relative to you? (b) What is your velocity with respect to the truck? SOLUTION SET UP Let you be Y, the truck be T, and the earth be E, and let the positive direction be north (Figure 2.30). Then UY/E = +88 km/h. SOLVE Part (a): The truck is approaching you, so it must be mov- ing south, giving UT/E= -104 km/h. We want to find UT/Y. Modifying Equation 2.16, we have UT/E = UT/Y + UY/E> UT/Y UT/E UY/E = -104 km/h - 88 km/h = -192 km/h. The truck is moving at 192 km/h south relative to you. Part (b): From Equation 2.17, Uy/T = -UT/Y = -(-192 km/h) = +192 km/h. You are moving 192 km/h north relative to the truck. REFLECT How do the relative velocities change after you and the truck have passed? They don't change at all! The relative positions of the objects don't matter. The velocity of the truck relative to you is still -192 km/h, but it is now moving away from you instead of toward you. Practice Problem: Suppose you and the truck are both traveling in the northbound lane. (Let's assume the truck has recently passed you, so E UT/E W-E ÜY/E Y Video Tutor Solution |||| A FIGURE 2.30 Velocities of you and the truck, relative to the ground. we don't need to worry about a collision.) If we continue to let north be the positive direction, (a) what is the truck's velocity relative to you and (b) what is your velocity with respect to the truck? Answers: (a) +16 km/h, (b)-16 km/h.
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