A particle of mass m is released from rest a distance b from a fixed origin...
2. Suppose that a mass m is released at rest at R. There is a fixed force toward the origin that can be described by F(x)-ba2, where b is a constant. What is velocity of the mass as a function of r? How long does the mass take to reach the origin?
A particle of mass m is attracted to a fixed point O by an inverse square force (F(r) = -k/r2). Solve this problem using Hamilton’s equations. (Hint: Use 2-dimensional cylindrical coordinates.)
A. A mass m is released from rest some distance above the ground. If it is subject to a force of air resistance F= cv^2, determine its terminal velocity. B. That same mass is projected vertically upwards with an initial speed of V0. Determine the maximum height reached by the projectile. Express your answer in terms of the terminal velocity from part a. C. Determine v(t) for that same mass as in part B and find the time it takes...
Please help, I am
struggling!
A Cycloidal Path A particle with mass m and positive charge q starts from rest at the origin as shown in the figure below. There is a uniform electric field = Eo? and a uniform magnetic field B = BoZ The path of the charged sketched below is a cycloid whose radius of curvature at the top points is twice the y-coordinate at that level. This path is exactly the same as the path of...
A charged particle q3 with mass m = 2g is released from rest at point A. qı and q2 are fixed at their positions. Calculate the speed of q3 at infinity. (91 -6°C,92 = +1°C,93 = -3°C) 91 92 93 3 m 1.5 m A
1. Newton’s Laws and damped simple harmonic motion A particle of mass m = 5 moves in a straight line on a horizontal surface. It is subject to the following forces: an attractive force in the direction of the fixed origin O with magnitude 40 times the instantaneous distance from O a damping force due to friction which is 20 times the instantaneous speed the force due to gravity the normal force. The particle starts from rest at a distance...
Block A, having a mass m, is released from rest falls a distance h and strikes the plate B having a mass 2m. If the coefficient of restitution between A and B is e, determine the velocity of the plate just after collision. The spring has a stiffness k.
A positive charge q1=2*10^-9 C is held fixed at the origin. A small particle with mass m=.004 kg and a negative charge q2=-5*10^-9 C is placed on the x-axis at point A, which is at x=.5m. The particle is released from rest and moves along the x-axis towards the origin. What is the speed of the particle when it reaches point B, which is at x=.3 m? Answer is .00775 m/s Please show work on how to get here
A particle with 500 gm mass starts from rest and moves
by a force
F(x) = 2x2 +3 from
the origin to x = 4
2) A particle with 500 gm mass starts from rest and moves by a force F(x) = 2x2 +3 from the origin to x = 4 m. What is the velocity of the particle at the end of its trip?