5- (iii) A particle of mass m-4kg and the conservative force F=(- 36y+96x , -36x, 0)...
The force in newtons acting on a 4kg mass is f=12x^3-12x^2+16x+14 where x is in meters. F is oriented in the x direction and acts on the 4kg mass from x0=0 to xf=3m. If inittiallly at rest and all of the work of f is conserved, find the velocity of the 4 kg mass at xf=3m. report results in m/s
Q2)) A particle of mass m is under the action of a force given by : F = F + Cx; where F, and C are positive constants. If the particle starts motion from rest at x = 0; a) Is this force is conservative or not? and why? b) Find the change in its kinetic energy. c) Find the velocity of the particle as a function of distant x.
A conservative force F(x) acts on a 1.7 kg particle that moves along an x axis. The potential energy U(x) associated with F(x) is graphed in the figure. When the particle is atx-2.0 m, its velocity is -1.7 m/s. (a) What is F(x) at this position, including sign? Between what positions on the (b) left and (c) right does the particle move? (d) what is its particle's speed at x = 7.0 m? x (m) 0 10 15 0 -5...
A particle of mass m1 accelerates at 4.50 m/s2 when a force F is applied. A second particle of mass m2 experiences an acceleration of only 1.35 m/s2 under the influence of this same force F. (a) What is the ratio of m1 to m2? (b) If the two particles are combined into one particle with mass m1 + m2, what is the acceleration of this particle under the influence of this force F?
A particle of mass 5 kg is subject to a conservative force whose potential energy (in joules) as a function of position (in meters) is given by the equation U(x) =-100x5e-1x [where x > 0] (a) Determine the position xo where the particle experiences stable equilibrium (b) Find the potential energy Uo of the particle at the position x 2106 The particle is displaced slightly from position x = xo and released (c) Determine the effective value of the spring...
1.14) A particle of mass m is acted upon by a net force F. As a result of the force, the particle starts from rest and moves along a curved path for which the acceleration relative to an inertial Cartesian coordinate system with an origin at the location where the particle is at rest is given by a - with At, B+Ct, and constants. You may assume that the units associated with t are seconds and = D where A,...
The conservative force F = (3.00x + 4.00) N does work on a particle moving along the x axis. What is the magnitude of the change in potential energy (in J) of the particle when particle moves from x = 2.0 m to x = 3.0 m? a. 10.5 b. 11.5 c. 12.5 d. 13.5 e. 14.5
Particle of mass m moves along x-axis under a conservative force given by F=A(e^(-2(x-xo)/xo)-e^(-x/xo)) where A and xo are constants. Assume potential energy at infinity (Uo) =0. Calculate the potential energy of the particle in term of A,x,and xo.
Chapter 08, Problem 077 A conservative force F(x) acts on a 1.7 kg particle that moves along an x axis. The potential energy u(x) associated with F(x) is graphed in the figure. When the particle is at x = 2.0 m, its velocity is -1.9 m/s. (a) What is F(x) at this position, including sign? Between what positions on the (b) left and (c) right does the particle move? (d) What is its particle's speed at x = 7.0 m?...
A conservative force F(x) acts on a 2.0 kg particle that moves along an x axis. The potential energy U(x) associated with F(x) is graphed in the figure. When the particle is at x-2.0 m, its velocity is -1.4 m/s. (a) What is F(x) at this position, including sign? Between what positions on the (b) left and (c) right does the particle move? (d) what is its particle's speed at x = 7.0 m? x (m) 10 15 (a) Number...