Homework Answers
Potential energy U = (k/2) x^3
F = -dU/dx
F = - d((K/2)x^3) / dx
= (-3k/2) x^2
so F = -(3k/2)x^2
so last option is the correct answer
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Question 1 1 pts Given the following Potential Energy function with depends on the position ,...
Question 1 130 pts Jmincon function to find the minimum value of the potential energy PE of follo...
using matlab
Question 1 130 pts Jmincon function to find the minimum value of the potential energy PE of following system: where P 50 N, k1 2 N/m, k2 5 N/m, k3- 4 N/m. The displacement of the masses A and B shall meet the requirement of, ki Use x1 search. = 1, x2 = 1 as the initial point for k3
Question 1 130 pts Jmincon function to find the minimum value of the potential energy PE of following...
3. In Cartesian coordinates, a potential energy field U = 3x + 5 xe + 2...
3. In Cartesian coordinates, a potential energy field U = 3x + 5 xe + 2 cos(az). a) What are the potential energy at position (0, 0, 0), (1, 1, 0) and (1, 1, 1)? (5 pts) b) Derive the force function F(x, y, z). Is this force conservative? (10 pts) c) What are the forces at position (0, 0, 0), (1, 1, 0) and (1, 1, 1)? (5 pts)
Given a potential energy function U(x), the corresponding force F is in the positive x direction...
Given a potential energy function U(x), the corresponding force F is in the positive x direction if:a) u is positiveb) u is negativec) u is an increasing function of xd) u is an decreasing function of x
1. 2. Question 10 1 pts The graphs show potential energy diagrams for the same reaction...
1.
2.
Question 10 1 pts The graphs show potential energy diagrams for the same reaction at T-900. K R P 1) uncatalysed process; 2) catalysed reaction Uncatalyzed Reaction 400 300 reactants 200 100 products Reaction coordinate Uncatalysed reaction: Potential Energy (P.E.) vs reaction coordinate. Energy is measured from O to 400. kJ, and the reaction coordinate is associated with the evolution of the reaction. The PE of the reactants is 225 kJ. Then the energy grows to 400. kJ,...
How do I approach these questions? Problem 9: The potential energy function for a conservative force...
How do I approach these questions?
Problem 9: The potential energy function for a conservative force Fc along the x-axis is U(x) = x3. (a) Use the potential energy function U(x) to calculate the force along the x-direction Fx. Answer: Fx = -3x2 (b) Calculate the work done by Fc when a particle moves from ti = 2 m to xf = 3. Answer: -19 J (c) This particle has a mass m= 2 kg. If the particle has a...
8: Question 6. - 10.0 pts possible If the potential in a region is given by...
8: Question 6. - 10.0 pts possible If the potential in a region is given by the function o 1. Ey = sin(z) V = 2 x – y2 – cos(2), O 2. Ey = –2y' what is the y-component of the electric field at the point P = (x', y', z')? 3. Ey = cos(z) O 4. Ey = 2 x' O 5. Ey = 2 0 6. Ey = y2 x2 7. Ey 4 8. Ey = 2y'...
3. A particle subject only to conservative forces has the potential energy vs. position curve shown...
3. A particle subject only to conservative forces has the potential energy vs. position curve shown to the right. The function for the potential is: U(x)-k where γ 1.00 J.m2 and k-7.00 Jr. The particle has a mass of 3.00 kg. (a) Calculate the force on the particle as a function of position, F(x). (b) At which points, (A, B, C, D), must the particle be placed at rest such that it will stay at rest? Why must the particle...
Question 28 1 pts What is the gravitational potential energy of a 1- kg block at...
Question 28 1 pts What is the gravitational potential energy of a 1- kg block at rest on a table 1 m above the floor? 01 9.8 O 32 O 11.8) 00 Question 29 1 pts A particle is moved from point A to point B against a conservative force. Which statement is true about the work done? O cannot be recovered by moving it from B to A O does not depend on the path taken between A and...
The following figure is a potential energy curve for a 1 kg object in an unusual...
The following figure is a potential energy curve for a 1 kg
object in an unusual conservative force. (20 Marks) a. Identify and
label the locations and potential energies of points of stable and
unstable equilibrium. b. List the ranges in x where the object
would experience a force pushing in the positive x direction. c.
List the ranges in x where the object would experience a force
pushing in the negative x direction. d. If the object starts at...
A potential energy function is given by U(x) = (x ^−8) *e^ (x ^2) . Let’s...
A potential energy function is given by U(x) = (x ^−8) *e^ (x ^2) . Let’s only focus on the region where x > 0. a) Find the position where the potential energy is a minimum b) For small oscillations around this minimum, what is the angular frequency ω? c) At what distance (either to the left or right) from the equilibrium point is the exact value of the force (derived from the full potential) more than 10% different from...
using matlab
Question 1 130 pts Jmincon function to find the minimum value of the potential energy PE of following system: where P 50 N, k1 2 N/m, k2 5 N/m, k3- 4 N/m. The displacement of the masses A and B shall meet the requirement of, ki Use x1 search. = 1, x2 = 1 as the initial point for k3
Question 1 130 pts Jmincon function to find the minimum value of the potential energy PE of following...
3. In Cartesian coordinates, a potential energy field U = 3x + 5 xe + 2 cos(az). a) What are the potential energy at position (0, 0, 0), (1, 1, 0) and (1, 1, 1)? (5 pts) b) Derive the force function F(x, y, z). Is this force conservative? (10 pts) c) What are the forces at position (0, 0, 0), (1, 1, 0) and (1, 1, 1)? (5 pts)
1.
2.
Question 10 1 pts The graphs show potential energy diagrams for the same reaction at T-900. K R P 1) uncatalysed process; 2) catalysed reaction Uncatalyzed Reaction 400 300 reactants 200 100 products Reaction coordinate Uncatalysed reaction: Potential Energy (P.E.) vs reaction coordinate. Energy is measured from O to 400. kJ, and the reaction coordinate is associated with the evolution of the reaction. The PE of the reactants is 225 kJ. Then the energy grows to 400. kJ,...
How do I approach these questions?
Problem 9: The potential energy function for a conservative force Fc along the x-axis is U(x) = x3. (a) Use the potential energy function U(x) to calculate the force along the x-direction Fx. Answer: Fx = -3x2 (b) Calculate the work done by Fc when a particle moves from ti = 2 m to xf = 3. Answer: -19 J (c) This particle has a mass m= 2 kg. If the particle has a...
8: Question 6. - 10.0 pts possible If the potential in a region is given by the function o 1. Ey = sin(z) V = 2 x – y2 – cos(2), O 2. Ey = –2y' what is the y-component of the electric field at the point P = (x', y', z')? 3. Ey = cos(z) O 4. Ey = 2 x' O 5. Ey = 2 0 6. Ey = y2 x2 7. Ey 4 8. Ey = 2y'...
3. A particle subject only to conservative forces has the potential energy vs. position curve shown to the right. The function for the potential is: U(x)-k where γ 1.00 J.m2 and k-7.00 Jr. The particle has a mass of 3.00 kg. (a) Calculate the force on the particle as a function of position, F(x). (b) At which points, (A, B, C, D), must the particle be placed at rest such that it will stay at rest? Why must the particle...
Question 28 1 pts What is the gravitational potential energy of a 1- kg block at rest on a table 1 m above the floor? 01 9.8 O 32 O 11.8) 00 Question 29 1 pts A particle is moved from point A to point B against a conservative force. Which statement is true about the work done? O cannot be recovered by moving it from B to A O does not depend on the path taken between A and...
The following figure is a potential energy curve for a 1 kg
object in an unusual conservative force. (20 Marks) a. Identify and
label the locations and potential energies of points of stable and
unstable equilibrium. b. List the ranges in x where the object
would experience a force pushing in the positive x direction. c.
List the ranges in x where the object would experience a force
pushing in the negative x direction. d. If the object starts at...
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