# Maths and Physics

posted by .

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

## Similar Questions

1. ### 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 …
2. ### Math

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 …
3. ### Math HELP PLEASE

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). (a)Initially P is projected from the point x=4 with speed 0.5. Show that P oscillates between two extremes points and find the period …
4. ### Math And Physics HELP

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 there is a single equilibrium position for P and that it is stable. Find the period of small oscillations about this point.
5. ### MATH AND PHYSICS HELP HELP HELP HELP HELP

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 there is a single equilibrium position for P and that it is stable. Find the period of small oscillations about this point.
6. ### MATH AND PHYSICS HELP HELP HELP HELP HELP

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 there is a single equilibrium position for P and that it is stable. Find the period of small oscillations about this point.
7. ### Physics

A positively charged particle of mass 5.60 10-8 kg is traveling due east with a speed of 60 m/s and enters a 0.49-T uniform magnetic field. The particle moves through one-quarter of a circle in a time of 1.20 10-3 s, at which time …
8. ### Physics

A positively charged particle of mass 5.60 10-8 kg is traveling due east with a speed of 60 m/s and enters a 0.49-T uniform magnetic field. The particle moves through one-quarter of a circle in a time of 1.20 10-3 s, at which time …
9. ### Physics

A 300g particle oscillating in SHM travels 11cm between the two extreme points in its motion with an average speed of 65 cm/s. a) Find the angular frequency b)The maximum force on the particle c)The maximum speed
10. ### physics

A 300g particle oscillating in SHM travels 35cm between the two extreme points in its motion with an average speed of 30cm/s. Find: a) The angular frequency. b) The maximum force on the particle. b) The maximum speed.

More Similar Questions