# Motion of a particle with varying mass

• Feb 21st 2009, 01:03 PM
mitch_nufc
Motion of a particle with varying mass
Pretty simple question :), lets see who can get it hehe

A particle P increases its mass, through condensation of moisture, at a constant time rate (m0/tau), where m0 is the initial mass of P and tau is a constant. The particle moves freely under gravity and is projected from O, the origin or coordinates, with a velocity whose horizontal and vertical components are U and V respectively. Show that the coordinates (x,y) of P, when its mass is m, are given by:

x = U*tau*ln(m/m0)

y=0.25g*(tau)^2(1-m^2/m0^2)+(V*tau+0.5g(tau)^2)ln(m/m0)
• Feb 21st 2009, 02:59 PM
mr fantastic
Quote:

Originally Posted by mitch_nufc
Pretty simple question :), lets see who can get it hehe

[snip]

Do you actually need help with this question or is it just some sort of challenge?
• Feb 21st 2009, 05:42 PM
mitch_nufc
sort of a challange, I got the solution but it took me a old winded method to get there, wondering if anyone had any neat tricks :)