A particle moving along the x axis is acted upon by a single force F = F0e–kx, where F0 and k are constants. The particle is released from rest at x = 0. It will attain a maximum kinetic energy of:
A particle moving along the x axis is acted upon by a single force F =...
The force on a particle is directed along an x axis and given by F = F0(x/x0 - 1) where x is in meters and F is in Newtons. If F0 = 1.6 N and x0 = 2.0 m, find the work done by the force in moving the particle from x = 0 to x = 2x0 m.
A 4.2 kg particle moving along the x-axis is acted upon
by the force whose functional form appears below. The velocity of
the particle at x = 0 is v = 6.6 m/s.
(a) Find the particle's speed (in m/s) at x = 2.0
m.
____ m/s
(b) Find the particle's speed (in m/s) at x = 5.0
m.
____ m/s
(c) Find the particle's speed (in m/s) at x = 10.0
m.
____ m/s
(d) Does the particle turn...
A 3.5 kg block moving along the x axis is acted upon by a single horizontal force that varies with the block’s position according to the equation Fx = ax^2 + b , where a = 7 N/m^2 , and b = −3.3 N. At 1.4 m, the block is moving to the right with a speed of 4.6 m/s. Determine the speed of the block at 2.3 m. Answer in units of m/s
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,...
A particle is moving along the x-axis. It starts from rest at x = 0 and moves to x = L under the action of a variable force with an x-component given by Fx(x): F(x) x2 if 0 SX SL 1 L2 -=Lx if L < x < 3L 2 2 Everything is in SI units: x in meters and F in Newtons. 1: What is the particle's kinetic energy at x = L? Express your answer in terms of...
1a.
1b. 1c.
A single conservative force = (AX - B) N, where x is in meters, and A and B are positive constants, acts on a particle moving along an x axis. The potential energy U associated with this force is assigned a value of 0 at x = 0. (a) Write an expression for the potential energy associated with this force. (b) What is the maximum positive value of the potential energy? In the figure, a block of...
1. [6 Points] A particle is moving along the x-axis. It starts from rest at x = 0 and moves to x = L under the action of a variable force with an x-component given by F(x): x2 if 0 SXSL F(x) = 3 L2 Lx if LSX <3L 1 Everything is in SI units: x in meters and F in Newtons. Part 1: What is the particle's kinetic energy at x = L? Express your answer in terms of...
A particle of mass m = 2.70 kg moving along the x axis from x = 0 to x = 10.6 m experiences a net conservative force in an isolated system given by F = 5x − 4, where F is in newtons and x is in meters. (a) What is the work done on the particle by the force F? J (b) What is the change in the potential energy of the system during this motion? J (c) If...
A force parallel to the x-axis acts on a particle moving along the x-axis. This force produces potential energy U(x) given by U(x) = αx4 , where α = 1.25 J/m4. What is the force (magnitude and direction) when the particle is at x = -0.856 m?
The force on a particle is directed along an x axis and given by F = F(underscore)0(x/x(underscore)0 - 1) where x is in meters and F is in Newtons. If F(underscore)0 = 0.63 N and x(underscore)0 = 5.0 m, find the work done by the force in moving the particle from x = 0 to x = 2x(underscore)0 m.