A particle of mass 0.70 kg moves along the x-axis with a potential energy whose dependence on x is shown below. U(x) (J) 16.0- 12.0아 8.0 4.0 x (m) 20.0 4.0 8.0 12.0 16.0 -4.0 -8.0- -12.0 -16.0아 (a) What is the force on the particle (in N) at x = 2.0, 5.0, 8.0, and 12 m? (Indicate the direction with the signs of your answers.) x = 2.0 m x = 5.0 m x = 8.0 m x = 12 m F = F = N F = F = N (b) If the total mechanical energy E of the particle is -2.0 J, what are the minimum and maximum positions of the particle (in m)? minimum m maximum (c) What are these positions (in m) if E = 6.0 J? m m minimum maximum (d) If E = 18 J, what are the speeds of the particle (in m/s) at the positions listed in part (a)? x = 2.0 m V = m/s X = 5.0 m V = m/s x = 8.0 m V = m/s x = 12 m m/s V =
A particle of mass 0.70 kg moves along the x-axis with a potential energy whose dependence on x is shown below. U(x) (J) 16.0- 12.0아 8.0 4.0 x (m) 20.0 4.0 8.0 12.0 16.0 -4.0 -8.0- -12.0 -16.0아 (a) What is the force on the particle (in N) at x = 2.0, 5.0, 8.0, and 12 m? (Indicate the direction with the signs of your answers.) x = 2.0 m x = 5.0 m x = 8.0 m x = 12 m F = F = N F = F = N (b) If the total mechanical energy E of the particle is -2.0 J, what are the minimum and maximum positions of the particle (in m)? minimum m maximum (c) What are these positions (in m) if E = 6.0 J? m m minimum maximum (d) If E = 18 J, what are the speeds of the particle (in m/s) at the positions listed in part (a)? x = 2.0 m V = m/s X = 5.0 m V = m/s x = 8.0 m V = m/s x = 12 m m/s V =
College Physics
11th Edition
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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![A particle of mass 0.70 kg moves along the x-axis with a potential energy whose dependence on x is shown below.
U(x) (J)
16.0-
12.0아
8.0
4.0
x (m)
20.0
4.0
8.0
12.0
16.0
-4.0
-8.0-
-12.0
-16.0아
(a) What is the force on the particle (in N) at x = 2.0, 5.0, 8.0, and 12 m? (Indicate the direction with the signs of your
answers.)
x = 2.0 m
x = 5.0 m
x = 8.0 m
x = 12 m
F =
F =
N
F =
F =
N
(b) If the total mechanical energy E of the particle is -2.0 J, what are the minimum and maximum positions of the
particle (in m)?
minimum
m
maximum
(c) What are these positions (in m) if E = 6.0 J?
m
m
minimum
maximum
(d) If E = 18 J, what are the speeds of the particle (in m/s) at the positions listed in part (a)?
x = 2.0 m
V =
m/s
X = 5.0 m
V =
m/s
x = 8.0 m
V =
m/s
x = 12 m
m/s
V =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce70bfab-9f33-4a15-b376-caf6e4495171%2Fb8bce29e-fc46-4951-994b-610888fe5d50%2Fat7kihm.png&w=3840&q=75)
Transcribed Image Text:A particle of mass 0.70 kg moves along the x-axis with a potential energy whose dependence on x is shown below.
U(x) (J)
16.0-
12.0아
8.0
4.0
x (m)
20.0
4.0
8.0
12.0
16.0
-4.0
-8.0-
-12.0
-16.0아
(a) What is the force on the particle (in N) at x = 2.0, 5.0, 8.0, and 12 m? (Indicate the direction with the signs of your
answers.)
x = 2.0 m
x = 5.0 m
x = 8.0 m
x = 12 m
F =
F =
N
F =
F =
N
(b) If the total mechanical energy E of the particle is -2.0 J, what are the minimum and maximum positions of the
particle (in m)?
minimum
m
maximum
(c) What are these positions (in m) if E = 6.0 J?
m
m
minimum
maximum
(d) If E = 18 J, what are the speeds of the particle (in m/s) at the positions listed in part (a)?
x = 2.0 m
V =
m/s
X = 5.0 m
V =
m/s
x = 8.0 m
V =
m/s
x = 12 m
m/s
V =
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VIEWStep 3: (b)Calculation of the minimum and maximum position when E=-2 J
VIEWStep 4: (c) Calculation of minimum and maximum position when E=6 J
VIEWStep 5: (d) Calculation of the speed at different locations
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