The figure here shows a plot of potential energy U versus position x of a 0.878 kg particle that can travel only along an x axis. (Nonconservative forces are not involved.) Threevalues are U = 15.0 J, Ug = 35.0 J and Uc 45.0 J. The particle is released at x = 4.50 m with an initial speed of 7.70 m/s, headed in the negative x direction. (a) If theparticle can reach x 1.00 m, what is its speed there, and if it cannot, what is its turning point? What are the (b) magnitude and (c) direction of the force on the particle as itbegins to move to the left of x = 4.00 m? Suppose, instead, the particle is headed in the positive x direction when it is released at x 4.50 m at speed 7.70 m/s. (d) If theparticle can reach x 7.00 m, what is its speed there, and if it cannot, what is its turning point? What are the (e) magnitude and (f) direction of the force on the particle as itbegins to move to the right of x 5.00 m?UBUA6(m)Unit(a) Number(b) NumberUnit(c)(d) Number|Unit(e) NumberUnit(f)(o

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Asked Oct 19, 2019
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The figure here shows a plot of potential energy U versus position x of a 0.878 kg particle that can travel only along an x axis. (Nonconservative forces are not involved.) Three
values are U = 15.0 J, Ug = 35.0 J and Uc 45.0 J. The particle is released at x = 4.50 m with an initial speed of 7.70 m/s, headed in the negative x direction. (a) If the
particle can reach x 1.00 m, what is its speed there, and if it cannot, what is its turning point? What are the (b) magnitude and (c) direction of the force on the particle as it
begins to move to the left of x = 4.00 m? Suppose, instead, the particle is headed in the positive x direction when it is released at x 4.50 m at speed 7.70 m/s. (d) If the
particle can reach x 7.00 m, what is its speed there, and if it cannot, what is its turning point? What are the (e) magnitude and (f) direction of the force on the particle as it
begins to move to the right of x 5.00 m?
UB
UA
6
(m)
Unit
(a) Number
(b) Number
Unit
(c)
(d) Number
|Unit
(e) Number
Unit
(f)
(o
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The figure here shows a plot of potential energy U versus position x of a 0.878 kg particle that can travel only along an x axis. (Nonconservative forces are not involved.) Three values are U = 15.0 J, Ug = 35.0 J and Uc 45.0 J. The particle is released at x = 4.50 m with an initial speed of 7.70 m/s, headed in the negative x direction. (a) If the particle can reach x 1.00 m, what is its speed there, and if it cannot, what is its turning point? What are the (b) magnitude and (c) direction of the force on the particle as it begins to move to the left of x = 4.00 m? Suppose, instead, the particle is headed in the positive x direction when it is released at x 4.50 m at speed 7.70 m/s. (d) If the particle can reach x 7.00 m, what is its speed there, and if it cannot, what is its turning point? What are the (e) magnitude and (f) direction of the force on the particle as it begins to move to the right of x 5.00 m? UB UA 6 (m) Unit (a) Number (b) Number Unit (c) (d) Number |Unit (e) Number Unit (f) (o

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Expert Answer

Step 1

(a)

Let the velocity at x = 1.0 m be v

We know:

                          Total energy = kinetic energy + potential energy

 

Step 2

From the conservation of energy:

(Total energy at x = 4.5 m) = (total energy at x = 1.0 m)

-om7
10.878x (7.70) +0.878x 9.8x4.5 =-x0.878 x v2 +0.878x 9.8x1
nu2 +mgh
mv mgh
atx 4.5m
at x-1m
2
2
v 11.30 m/s
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-om7 10.878x (7.70) +0.878x 9.8x4.5 =-x0.878 x v2 +0.878x 9.8x1 nu2 +mgh mv mgh atx 4.5m at x-1m 2 2 v 11.30 m/s

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Step 3

(b)

Let the magnitude of the force be F

Form...

UB-U
dU
F =
dr
Х, — хд
Plugging in the values from graph:
35 15
- 5 N
2 4
F =
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UB-U dU F = dr Х, — хд Plugging in the values from graph: 35 15 - 5 N 2 4 F =

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