-192 km/h, but it is now moving away from we don't need to worry you about (a) what the positive direction, Practice Problem: Suppose you and the truck are both traveling in the (b) what is your velocity northbound lane. (Let's assume the truck has recently passed you, so (a) +16 km/h, (b) -16 km/h. lative to you is sun toward you. instead of a collision.) If we continue to let north be is the truck's relative to you and velocity with respect to the truck? Answers:

College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter3: Two-dimensional Kinematics
Section: Chapter Questions
Problem 64PE: (a) Use the distance and velocity data in Figure 3.64 to find the rate of expansion as a function of...
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ce (at
ain T
n the
any
st's
От
me
re
ence, A, B, and C, we can write immediately
Equation 2.16. If there are three different frames of refer-
A). This is a handy
= UP/C
+
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?
UT/E = UT/Y
UT/Y
UP/A
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.
=
UC/B
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
=
+ UB/A,
+ UY/E,
UT/E- UY/E
-104 km/h - 88 km/h = -192 km/h.com
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
You are moving 192 km/h north relative to the truck.
Theory of relativitu
km/h) = +192 km/h.
9730 20
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
SIIN
W-O-E
ÜYE
1111
Video Tutor Solution
ugl
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:ce (at ain T n the any st's От me re ence, A, B, and C, we can write immediately Equation 2.16. If there are three different frames of refer- A). This is a handy = UP/C + 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? UT/E = UT/Y UT/Y UP/A 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. = UC/B 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 = + UB/A, + UY/E, UT/E- UY/E -104 km/h - 88 km/h = -192 km/h.com 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 You are moving 192 km/h north relative to the truck. Theory of relativitu km/h) = +192 km/h. 9730 20 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 SIIN W-O-E ÜYE 1111 Video Tutor Solution ugl 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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