The potential energy function associated with a force acting on a system is U = 3xy...
The potential energy function associated with a force acting on a system is v - 3x'y - 8x. What is the force at point (x,y)? (Express your answer in vector form.) Submit Answer
A potential energy function for a two- dimensional force is of the form U= a ry+br, where a = 2.56 J/m' and b = -5 J/m. Find the magnitude of the force that acts at the point (x, y) for x = 69 m, y = 16 m. Answer in units of N.
The potential energy of an object constrained to the x-axis is given by U(x) = 3x^2 - 2x^3. If x = 2.0 m, determine the force F(x) associated with this potential-energy function. Your Answer: Answer units
Consider the following. Find the force F_x associated with the potential-energy function U = Ax^5, where A is a constant. (Use the following as necessary: A and x.) F_x = At what value(s) of x does the force equal zero? x =
3.The potential has the form U = xy + 3xy. Find the components of the force Fs. Fy, at point (2.0, 2.0).
Find the directional derivative D−→ u f(x,y) of the function f(x,y) = x2 + 3xy + y3 where →− u is the unit vector given by angle θ = π 4. What is D−→ u f(1,1)?
A small block is pushed with a force such that the potential energy function is U (x) 10x"45 y2 . What is the force on the block?
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
The potential Energy function for a system is described by: U(x) = -9x^3 + 7x^2 + 4x a.) Determine the force on the particle. b.) For what values of x is the force equal to zero?
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)