Relation between force and potential energy is
F=-dU(x)/dx
Force=--d(10x^-3+5y^2)/dx
Force=30x^-4
A small block is pushed with a force such that the potential energy function is U...
A small block with mass 0.0400kg is moving in the xy-plane. The net force on the block is described by the potential- energy function U(x,y)= (5.90J/m2 )x2-(3.45J/m3 )y3. Part A: What is the magnitude of the acceleration of the block when it is at the point x= 0.21m , y= 0.60m ? Part B: What is the direction of the acceleration of the block when it is at the pointx= 0.21m , y= 0.60m ?
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
A small block with mass 0.0400 kg is moving in thexy-plane. The net force on the block is described by the potential- energy function U(x,y)= (5.95 J/m2 )x2-(3.60 J/m3 )y3. a) What is the magnitude of the acceleration of the block when it is at the point x= 0.30 m , y= 0.56 m? b)What is the direction of the acceleration of the block when it is at the point x= 0.30 m , y= 0.56 m ?
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 small block with mass 0.0400 kg is moving in the xy-plane. The net force on the block is described by the potential- energy function U(x,y)= (6.00 J/ m 2 ) x 2 -(3.90 J/ m 3 ) y 3 . a-What is the magnitude of the acceleration of the block when it is at the point x= 0.20 m , y= 0.64 m ? Express your answer with the appropriate units. b-What is the direction of the acceleration of...
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...
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 =
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.
12. A ball moves in on dimension. The potential-energy function is U() = 1/22 - 1/x. What is the conservative force generated by this potential en- ergy as a function of x?
A small block with mass 0.0400 kg is moving in the xy-plane. The net force on the block is described by the potential-energy function U(x, y) = (5.70 J/m2 ).x2. (3.90 J/ m y Part A What is the magnitude of the acceleration of the block when it is at the point x = 0.23 m, y=0.52 m ? Express your answer with the appropriate units. 44.258 You have already submitted this answer. Enter a new answer. No credit lost....