In sample Prob. 8.02, Which quantity remains unchanged if we choose different reference frames? a. potential energy, U b. change in potential energy, delta(U) C. origin d. kinetic energy, KE

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Chapter1: Units, Trigonometry. And Vectors
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In sample Prob. 8.02, Which quantity
remains unchanged if we choose different
reference frames?
a. potential energy,
U
b. change in potential energy, delta(U)
c. origin
d. kinetic energy, KE
e. velocity, v
Transcribed Image Text:In sample Prob. 8.02, Which quantity remains unchanged if we choose different reference frames? a. potential energy, U b. change in potential energy, delta(U) c. origin d. kinetic energy, KE e. velocity, v
Sample Problem 8.02 Choosing reference level for gravitational potential energy, sloth
Here is an example with this lesson plan: Generally you can
choose any level to be the reference level, but once chosen,
be consistent. A 2.0 kg sloth hangs 5.0 m above the ground
(Fig. 8-6).
the ground, (3) at the limb, and (4) 1.0 m above the limb?
Take the gravitational potential energy to be zero at y = 0.
KEY IDEA
(a) What is the gravitational potential energy U of the
sloth-Earth system if we take the reference point y = 0 to be
(1) at the ground, (2) at a balcony floor that is 3.0 m above
Once we have chosen the reference point for y = 0, we can
calculate the gravitational potential energy U of the system
relative to that reference point with Eq.8-9.
Calculations: For choice (1) the sloth is at y = 5.0 m, and
U = mgy = (2.0 kg)(9.8 m/s²)(5.0 m)
= 98 J.
(Answer)
For the other choices, the values of U are
(2) U= mgy = mg(2.0 m) = 39 J,
(3) U = mgy = mg(0) = 0 J.
(4) U= mgy = mg(-1.0 m)
= -19.6 J = -20 J.
10
-2
-3
(Answer)
(b) The sloth drops to the ground. For each choice of refer-
ence point, what is the change AU in the potential energy of
the sloth-Earth system due to the fall?
KEY IDEA
The change in potential energy does not depend on the
choice of the reference point for y = 0; instead, it depends
on the change in height Ay.
-3
-5
-6
Calculation: For all four situations, we have the same Ay =
-5.0 m. Thus, for (1) to (4). Eq. 8-7 tells us that
(1)
(2)
(3)
(4)
Figure 8-6 Four choices of reference point y = 0. Each y axis is marked
in units of meters. The choice affects the value of the potential energy
U of the sloth-Earth system. However, it does not affect the change
AU in potential energy of the system if the sloth moves by, say, falling
AU=mg Ay (2.0 kg)(9.8 m/s )(-5.0 m)
-98 J.
(Answer)
Transcribed Image Text:Sample Problem 8.02 Choosing reference level for gravitational potential energy, sloth Here is an example with this lesson plan: Generally you can choose any level to be the reference level, but once chosen, be consistent. A 2.0 kg sloth hangs 5.0 m above the ground (Fig. 8-6). the ground, (3) at the limb, and (4) 1.0 m above the limb? Take the gravitational potential energy to be zero at y = 0. KEY IDEA (a) What is the gravitational potential energy U of the sloth-Earth system if we take the reference point y = 0 to be (1) at the ground, (2) at a balcony floor that is 3.0 m above Once we have chosen the reference point for y = 0, we can calculate the gravitational potential energy U of the system relative to that reference point with Eq.8-9. Calculations: For choice (1) the sloth is at y = 5.0 m, and U = mgy = (2.0 kg)(9.8 m/s²)(5.0 m) = 98 J. (Answer) For the other choices, the values of U are (2) U= mgy = mg(2.0 m) = 39 J, (3) U = mgy = mg(0) = 0 J. (4) U= mgy = mg(-1.0 m) = -19.6 J = -20 J. 10 -2 -3 (Answer) (b) The sloth drops to the ground. For each choice of refer- ence point, what is the change AU in the potential energy of the sloth-Earth system due to the fall? KEY IDEA The change in potential energy does not depend on the choice of the reference point for y = 0; instead, it depends on the change in height Ay. -3 -5 -6 Calculation: For all four situations, we have the same Ay = -5.0 m. Thus, for (1) to (4). Eq. 8-7 tells us that (1) (2) (3) (4) Figure 8-6 Four choices of reference point y = 0. Each y axis is marked in units of meters. The choice affects the value of the potential energy U of the sloth-Earth system. However, it does not affect the change AU in potential energy of the system if the sloth moves by, say, falling AU=mg Ay (2.0 kg)(9.8 m/s )(-5.0 m) -98 J. (Answer)
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