Maths/physics

A particle P of mass m=1 moves on the x-axis under the force field

F=36/(x^3) - 9/(x^2) (x>0).

Show that each motion of P consists of either (i) a periodic oscillation between two extreme points, or (ii) an unbounded motion with one extreme point, depending on the value of the total energy.

Regards

  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    I need help with this question with explanation. Thanks A particle of mass m starts from rest at position x = 0 and time t = 0. It moves along the positive x-axis under the influence of a single force Fx = bt, where b is a

  2. Physics

    A single conservative force acts on a 5.00 kg particle. The equation Fx = (2x + 4) N describes this force, where x is in meters. As the particle moves along the x axis from x = 1.40 m to x = 5.80 m, calculate the following. (a)

  3. Algebra

    A particle P of mass 2gms moves on the X-axis and is attracted towards origin O with a force numerically equal to 8x. If it is initially at rest at X = 10, find its position at any subsequent time assuming (a) no other force acts,

  4. AP Physics C

    One dimension. In the figure, two point particles are fixed on an x axis separated by distance d. Particle A has mass mA and particle B has mass 5.00 mA. A third particle C, of mass 62.0 mA, is to be placed on the x axis and near

  1. Physics (Gravitation)

    In Fig. 13-25, three particles are fixed in place. The mass of B is greater than the mass of C. Can a fourth particle (particle D) be placed somewhere so that the net gravitational force on particle A from particles B, C, and D is

  2. Physics

    A particle of mass m1 = 2.5 kg moving along the x axis collides with a particle of mass m2 = 4.9 kg initially at rest. The incoming particle is deflected in the direction 22 degrees above the x axis, whereas the target particle

  3. AP CALC. AB

    1.The position of a particle moving on the line y = 2 is given by x(t)= 2t^3-13t^2+22t-5 where t is time in seconds. When is the particle at rest? a. t =0.268, 2.500, and 3.732 b. t = 0, 1.153, and 3.180 c. t = 1.153, 2.167 and

  4. physics

    three point particles are fixed in place in an xy plane. Particle A has mass mA = 3 g, particle B has mass 2.00mA, and particle C has mass 3.00mA. A fourth particle D, with mass 4.00mA, is to be placed near the other three

  1. physics

    A 10 g particle has the potential energy shown in a graph with the y-axis label U(J) and the x axis is labeled in cm. There is a diagonal line from 4 J down to 1 cm and the line levels out on the x axis to 3 cm and rises again to

  2. Physics

    1)Three positive particles of charges 9┬ÁC are located at the corners of an equilateral triangle of side 15cm. Calculate the magnitude and direction of the force on each charge. 2)What is the electric field strength at a point in

  3. physics

    One dimension. In Fig. 13-32, two point particles are fixed on an x axis separated by distance d. Particle A has mass mA and particle B has mass 4.00 mA. A third particle C, of mass 80.0 mA, is to be placed on the x axis and near

  4. Physics

    Figure (a) shows charged particles 1 and 2 that are fixed in place on an x axis. Particle 1 has a charge with a magnitude of |q1| = 12.0e. Particle 3 of charge q3 = +13.0e is initially on the x axis near particle 2. Then particle

You can view more similar questions or ask a new question.