(POTENTIAL ENERGY CURVES) A 10 kg particle moves under the potential shown below, where U(x) has units of Joules and a is measured in meters. The potential energy is 20 J for all x 210 m. (a) What is the force on the particle when it is at x = 3 m? (b) What minimum speed (moving to the left) must the particle have at x = 11 m in order to reach x = 2 m? = (c) Describe the motion of the particle if it begins at x = 1 m with a velocity of UT +√12 m/s. A complete answer would discuss turning points and limitations to the range of motion, if any, as well as regions where the particle speed increases, decreases, and remains constant.
(POTENTIAL ENERGY CURVES) A 10 kg particle moves under the potential shown below, where U(x) has units of Joules and a is measured in meters. The potential energy is 20 J for all x 210 m. (a) What is the force on the particle when it is at x = 3 m? (b) What minimum speed (moving to the left) must the particle have at x = 11 m in order to reach x = 2 m? = (c) Describe the motion of the particle if it begins at x = 1 m with a velocity of UT +√12 m/s. A complete answer would discuss turning points and limitations to the range of motion, if any, as well as regions where the particle speed increases, decreases, and remains constant.
Related questions
Question
Please include detailed explanations and work. Please write out answers and steps to make them easy to understand.
![3. (POTENTIAL ENERGY CURVES) A 10 kg particle moves under the potential shown
below, where U(x) has units of Joules and x is measured in meters. The potential energy
is 20 J for all x ≥ 10 m.
(a) What is the force on the particle when it is at x = 3 m?
(b) What minimum speed (moving to the left) must the particle have at x = 11 m in order
to reach x = 2 m?
(c) Describe the motion of the particle if it begins at x = 1 m with a velocity of Ur =
+√12 m/s. A complete answer would discuss turning points and limitations to the
range of motion, if any, as well as regions where the particle speed increases, decreases,
and remains constant.
(d) If the particle instead begins at x = 1 m with a velocity Ur> √12 m/s, does the
particle ever turn around? Explain.
U (x) [J]
80
60
40
20
-2
-20
2
4
6
8
10
12
► x [m]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fde1b0e21-d3cd-43dc-b415-66f9ec437a02%2Ffe72ed64-2155-4470-b307-c34aef5ab09a%2F7h26t5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. (POTENTIAL ENERGY CURVES) A 10 kg particle moves under the potential shown
below, where U(x) has units of Joules and x is measured in meters. The potential energy
is 20 J for all x ≥ 10 m.
(a) What is the force on the particle when it is at x = 3 m?
(b) What minimum speed (moving to the left) must the particle have at x = 11 m in order
to reach x = 2 m?
(c) Describe the motion of the particle if it begins at x = 1 m with a velocity of Ur =
+√12 m/s. A complete answer would discuss turning points and limitations to the
range of motion, if any, as well as regions where the particle speed increases, decreases,
and remains constant.
(d) If the particle instead begins at x = 1 m with a velocity Ur> √12 m/s, does the
particle ever turn around? Explain.
U (x) [J]
80
60
40
20
-2
-20
2
4
6
8
10
12
► x [m]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 1 images
