The potential energy of an object constrained to the x-axis is given by U(x) = 3x^2...
The potential energy of an object constrained to move only along the x-axis is given by U=5x^2-4x where U is in Joules and x is in meters. a. Find the force associated with this potential. b. Assuming no other forces act on the object find the equilibrium positions of the object and determine whether each is stable, unstable, or neutral.
The potential energy function associated with a force acting on a system is U = 3xy - 3x. What is the force at point (x,y)? (Express your answer in vector form.) F
An object's total energy is affected by a potential energy of the form U(x)=-6x^-2 (the potential has units of joules). What is the magnitude of the conservation force (in newtons) responsible for this potential when the object is at x=0.72 m. Give your answer with 2 sig figs.
A 20 kg object is acted on by a conservative force given by F = −3.0x − 5.0x2, with F in newtons and x in meters. Take the potential energy associated with the force to be zero when the object is at x = 0. (a) What is the potential energy of the system associated with the force when the object is at x = 5.0 m? (b) If the object has a velocity of 2.0 m/s in the negative...
Potential Energy and Force A mass m=3.00kg moving along the x-axis is acted on only by a single conservative force. The force has a potential energy function given by U(x)=(1.00J/m3)x3−(9.00J/m2)x2+(15.0J/m)x. It will be useful to graph this function on your calculator or computer. Part A Find the force on the mass as a function of x. (Leave the units out of the coefficients in your expression, and make sure all coefficients have three significant figures). F(x) = N SubmitMy AnswersGive...
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)
The potential energy is given by U(X) = 3xe^-x a) Determine the force b) Is the force conservative? Justify your answer
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
A 21 kg object is acted on by a conservative force given by F = -1.0x - 6.0x^2, with F in newtons and x in meters. Take the potential energy associated with the force to be zero when the object is at x = 0. (a) What is the potential energy of the system associated with the force when the object is at x = 1.7 m? (b) If the object has a velocity of 4.0 m/s in the negative...
The force acting on an object is given by Fx = a/x2. At x = 5.3 m, the force is known to point in the −x direction and have a magnitude of 22 N. Determine the potential energy associated with this force as a function of x, assuming we assign a reference value of -11 J at x = 2.3 m for the potential energy.