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 with a mass of 3.00 kg is acted on by a force F, acting in the x-direction. If the magnitude of the force varies in time as shown in the figure below, determine the following.(a) Impulse of the force (in kg · m/s) (b) final velocity of the particle (in m/s) if it is initially at rest (c) Find the final velocity of the particle (in m/s) if it is initially moving along the x-axis with a velocity of -2.00...
14)A particle with a mass of 1.80 kg is acted on by a force Fx acting in the x-direction. If the magnitude of the force varies in time as shown in the figure below, determine the final velocity of the particle in m/s) if it is initially at rest F. (N) a) 24 m/s b) 14.1 m/s c) 28 m/s d) 16 m/s e) 13.3 m/s
A particle with a mass of 1.75 kg is acted on by a force Facting in the x-direction. If the magnitude of the force varies in time as shown in the figure below, determine the following F, (N) 8 6 n 4 2 t(s) 2 3 4 5 (a) impulse of the force (in kg. m/s) kg. m/s (b) final velocity of the particle (in m/s) if it is initially at rest m/s (c) Find the final velocity of the...
Q.3) (7 Marks An object of mass m is being acted upon by a force F(x) = Fosin (cx), where F. = 2 N and c = 0.5 rad/m are constants (a) Prove that this force is conservative. (b) Find the potential energy function V(x) (c) Make a graph of the potential energy V(x) as a functions of x in the interval [x = -a m,x = + m) d) Us previous graph to discuss the motion of the particle...
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...
2) The force that a magnetic field exerts on a charged particle is given by F = qö x B. A particle with mass m = 2.0x10 kg and charge q - +2.5x10°C has an initial speed of v = 4/2 x 103 m/s (in the x- y plane). The magnetic field vector and velocity vector are 5 and 0, respectively are displayed on the coordinate axis below. The angle between the vectors is 135 degrees. Use unit vector notation...
Trajectory Problem 1 1. A particle A , of mass m, is acted on by the gravitational force from a second particle, B, which remains fixed at the origin. Initially, when A is very far from B(r - o0). A has a velocity vo directed along the line shown in the figure. The perpendicular distance between B and this line is D. The particle A is deflected from the figure. The shortest distance between this trajectory and B is found...
PROBLEM 2 (10 POINTS) A particle of mass m moving along a straight line is acted on by a retarding force (one directed against the motion) F = beau, where b and a are constants and u is the velocity. At に0, it is moving with velocity 10. Find the velocity at later times always
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.